After adding 31.6 mL of 0.345 M sodium hydroxide to a 19.1 mL sample of 0.380 M nitrous acid, the resulting pH is approximately 0.572, indicating an acidic solution.
To determine the pH after adding 31.6 mL of a 0.345 M sodium hydroxide (NaOH) solution to a 19.1 mL sample of a 0.380 M nitrous acid (HNO2) solution, we need to consider the reaction between these two compounds.
The balanced chemical equation for the reaction between nitrous acid and sodium hydroxide is as follows:
HNO2 + NaOH → NaNO2 + H2O
We can determine the number of moles of nitrous acid and sodium hydroxide involved in the reaction using the following formulas:
moles of HNO2 = volume (in L) × concentration (in M)
moles of NaOH = volume (in L) × concentration (in M)
Volume of HNO2 solution = 19.1 mL = 19.1 × 10^(-3) L
Concentration of HNO2 solution = 0.380 M
Volume of NaOH solution = 31.6 mL = 31.6 × 10^(-3) L
Concentration of NaOH solution = 0.345 M
Calculating the moles of HNO2:
moles of HNO2 = 19.1 × 10^(-3) L × 0.380 M = 7.259 × 10^(-3) mol
Calculating the moles of NaOH:
moles of NaOH = 31.6 × 10^(-3) L × 0.345 M = 1.0902 × 10^(-2) mol
Now, let's determine the limiting reactant to determine which species will be fully consumed first.
From the balanced equation, we can see that the stoichiometric ratio between HNO2 and NaOH is 1:1. Therefore, the limiting reactant will be the one with fewer moles. In this case, the limiting reactant is nitrous acid (HNO2) since it has fewer moles than sodium hydroxide (NaOH).
Since HNO2 is a weak acid, we need to consider its dissociation in water. The dissociation equation for nitrous acid is as follows:
HNO2 ⇌ H+ + NO2-
The dissociation of nitrous acid is an equilibrium reaction. The concentration of HNO2 at the beginning is 0.380 M, but as it dissociates, the concentration of H+ increases while the concentration of HNO2 decreases. We can assume that the change in HNO2 concentration will be negligible compared to its initial concentration since it's a weak acid.
Thus, after adding NaOH, the moles of HNO2 will be reduced by the moles of NaOH consumed in the reaction:
moles of HNO2 remaining = moles of HNO2 - moles of NaOH = 7.259 × 10^(-3) mol - 1.0902 × 10^(-2) mol
Since HNO2 is a weak acid and dissociates partially, the concentration of HNO2 is not equal to the remaining moles of HNO2 divided by the total volume. We need to consider the equilibrium expression for the dissociation of HNO2:
Ka = [H+][NO2-] / [HNO2]
Where Ka is the acid dissociation constant of HNO2.
The concentration of HNO2 can be calculated as follows:
[HNO2] = ([H+][NO2-]) / Ka
To calculate the pH, we need to determine the concentration of H+ ions, which is the same as the concentration of HNO2. Once we have the concentration of
H+, we can calculate the pH using the formula:
pH = -log[H+]
To calculate the concentration of H+ (or HNO2), we need the acid dissociation constant, Ka, for nitrous acid. The Ka value for nitrous acid is 4.5 × 10^(-4) at 25°C.
Using this information, we can proceed with the calculations.
[HNO2] = ([H+][NO2-]) / Ka
[HNO2] = (7.259 × 10^(-3) mol - 1.0902 × 10^(-2) mol) / 19.1 × 10^(-3) L
[HNO2] = 2.6716 M
The concentration of H+ (HNO2) is 2.6716 M. Therefore, the pH can be calculated as follows:
pH = -log[H+]
pH = -log(2.6716)
pH ≈ 0.572
Therefore, the pH after adding 31.6 mL of the sodium hydroxide solution to the nitrous acid solution is approximately 0.572.
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Following the procedure described in this experiment, a student reacted 2.775 g of salicylic acid with 4.0 mL of acetic anhydride and recovered 2.986 g of aspirin. a. Calculate the number of moles of salicylic acid present in the reaction mixture. b. Calculate the mass of acetic anhydride used. c. Calculate the number of moles of acetic anhydride present in the reactionmixture. d. Based on the number of moles of each reactant and the stoichiometry of the reaction, determine the limiting reactant in the preparation. e. Calculate the theoretical yield of aspirin, based on the number of moles of limiting reactant present. f. Calculate the percent yield of aspirin.
a. Number of moles of salicylic acid = 0.0201 mol
b. Mass of acetic anhydride used = 4.32 g
c. Number of moles of acetic anhydride = 0.0423 mol
d. The limiting reactant is salicylic acid.
e. Theoretical yield of aspirin = 3.62 g
f. Percent yield of aspirin = 82.4%
a. To calculate the number of moles of salicylic acid, we need to divide the given mass by its molar mass. The molar mass of salicylic acid (C7H6O3) is 138.12 g/mol.
Number of moles of salicylic acid = 2.775 g / 138.12 g/mol ≈ 0.0201 mol
b. The volume of acetic anhydride is given, but we need to calculate its mass. To do this, we'll use its density. The density of acetic anhydride is 1.08 g/mL.
Mass of acetic anhydride = volume of acetic anhydride × density
Mass of acetic anhydride = 4.0 mL × 1.08 g/mL = 4.32 g
c. To calculate the number of moles of acetic anhydride, we'll divide the mass by its molar mass. The molar mass of acetic anhydride (C4H6O3) is 102.09 g/mol.
Number of moles of acetic anhydride = 4.32 g / 102.09 g/mol ≈ 0.0423 mol
d. To determine the limiting reactant, we compare the number of moles of each reactant to the stoichiometry of the reaction. The balanced equation for the preparation of aspirin is:
[tex]2C7H6O3 + C4H6O3 \rightarrow 2C9H8O4 + C2H4O2[/tex]
From the equation, we can see that 2 moles of salicylic acid react with 1 mole of acetic anhydride. Thus, the reactant with the smaller number of moles is the limiting reactant.
Number of moles of salicylic acid = 0.0201 mol
Number of moles of acetic anhydride = 0.0423 mol
The limiting reactant is salicylic acid.
e. The theoretical yield of aspirin is the amount of aspirin that would be obtained if the limiting reactant is completely consumed. From the balanced equation, we can see that the molar ratio between salicylic acid and aspirin is 2:2 (1:1).
Number of moles of aspirin = Number of moles of limiting reactant = 0.0201 mol
The molar mass of aspirin (C9H8O4) is 180.16 g/mol.
Theoretical yield of aspirin = Number of moles of aspirin × molar mass of aspirin
Theoretical yield of aspirin = 0.0201 mol × 180.16 g/mol ≈ 3.62 g
f. The percent yield of aspirin is calculated by dividing the actual yield by the theoretical yield and multiplying by 100.
Actual yield of aspirin = 2.986 g
Percent yield of aspirin = (Actual yield / Theoretical yield) × 100
Percent yield of aspirin = (2.986 g / 3.62 g) × 100 ≈ 82.4%
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Select all the molecules below that have a molecular dipole of zero. (Remember to consider molecular geometry before selecting your answers!)
The molecules that have a molecular dipole of zero are: CCl4 (carbon tetrachloride) , SF6 (carbon tetrachloride) and BF3 (boron trifluoride).
To determine whether a molecule has a molecular dipole of zero, we need to consider its molecular geometry and the individual bond dipoles within the molecule. If the bond dipoles cancel each other out due to symmetry, the molecule will have a molecular dipole of zero.
CCl4 (carbon tetrachloride) has a tetrahedral molecular geometry with four chlorine atoms surrounding the central carbon atom. The individual bond dipoles between carbon and chlorine are polar, but they point in opposite directions and cancel each other out, resulting in a molecular dipole of zero.
SF6 (carbon tetrachloride) also has a molecular dipole of zero. It has an octahedral molecular geometry with six fluorine atoms surrounding the central sulfur atom. The bond dipoles between sulfur and fluorine are polar, but they are arranged symmetrically, leading to the cancellation of the dipole moments.
BF3 (boron trifluoride) has a trigonal planar molecular geometry. The individual bond dipoles between boron and fluorine are polar, but they are arranged symmetrically, resulting in a molecular dipole of zero.
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Select the correct coefficients to balance the chemical equations. Do not leave any blank; select " 1 " if no coefficient is needed. I recommend you solve it on paper first before entering your answer. As4 S6( s)+O2( g)→As4O6( s)+ b) iron(iII) sulfate +SO2( g) ammonium sulfate
Balanced chemical equations:
1. As₄S₆(s) + O₂(g) → As₄O₆(s) + 3O₂(g)
2. Fe₂(SO₄)₃ + 3SO₂(g) + (NH₄)₂SO₄ → Fe₃(SO₄)₄ + 3(NH₄)₂SO₄
1. In the first equation, the balanced coefficients are:
As₄S₆(s) + 9O₂(g) → 2As₄O₆(s) + 6O₂(g)
To balance the equation, we need to ensure the same number of each type of atom on both sides. There are 4 arsenic (As) atoms and 6 sulfur (S) atoms on the left-hand side, so we need to have 2 As₄O₆ molecules to match the 4 As atoms. This requires 2 As₄S₆ molecules on the left-hand side. Similarly, we need 9 oxygen (O₂) molecules to match the 6 S atoms on the left-hand side.
2. In the second equation, the balanced coefficients are:
Fe₂(SO₄)₃ + 3SO₂(g) + 4(NH₄)₂SO₄ → 2Fe₃(SO₄)₄ + 3(NH₄)₂SO₄
To balance the equation, we need to ensure the same number of each type of atom on both sides. There are 2 iron (Fe) atoms on the left-hand side, so we need 2 Fe₃(SO₄)₄ molecules on the right-hand side. This requires 3 Fe₂(SO₄)₃ molecules on the left-hand side. Additionally, we need 3 sulfur dioxide (SO₂) molecules on the left-hand side to balance the sulfur atoms. Finally, we need 4 (NH₄)₂SO₄ molecules on the left-hand side to balance the nitrogen (N) and hydrogen (H) atoms.
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For the reaction A+B→C the rate law is: rate =k[B] 2
. Which plot will yield a straight line? [B] vs. time, [B] 2vs.time ,None of the plots given make a straight line, In[B] vs. time, 1/[B] vs. time
The plot that will yield a straight line is: In[B] vs. time.
The given rate law is rate = k[B]², indicating that the rate of the reaction is directly proportional to the square of the concentration of B.
When we take the natural logarithm (ln) of both sides of the rate law equation, we get ln(rate) = ln(k[B]²). According to the properties of logarithms, we can rewrite this equation as ln(rate) = ln(k) + 2ln([B]).
This equation shows that ln(rate) is linearly related to ln([B]). Since ln(rate) represents the y-axis and ln([B]) represents the x-axis, plotting ln([B]) vs. time will yield a straight line with a slope of 2 and a y-intercept of ln(k).
Therefore, the correct plot that will yield a straight line is In[B] vs. time. The other plots ([B] vs. time, [B]² vs. time, and 1/[B] vs. time) will not result in a straight line.
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1. How many GRAMS of carbon
are present in 2.31 moles of carbon
monoxide,
CO? grams
2. How many MOLES of
oxygen are present in 4.39 grams
of carbon monoxide? moles
The number of grams of carbon in 2.31 moles of carbon monoxide is approximately 64.5331 grams, and the number of moles of oxygen in 4.39 grams of carbon monoxide is approximately 0.1567 moles.
To solve these problems, we need to use the molar mass of carbon monoxide (CO), which is calculated by adding the atomic masses of carbon (C) and oxygen (O).
1. The grams of carbon in 2.31 moles of carbon monoxide:
Molar mass of CO = atomic mass of C + atomic mass of O = 12.01 g/mol + 16.00 g/mol = 28.01 g/mol
Grams of carbon = moles of CO * molar mass of CO = 2.31 mol * 28.01 g/mol
2. The moles of oxygen in 4.39 grams of carbon monoxide:
Grams of CO = moles of CO * molar mass of CO
Rearranging the equation:
Moles of CO = grams of CO / molar mass of CO
Moles of oxygen = Moles of CO * (number of moles of oxygen / number of moles of carbon monoxide)
Molar mass of CO = 28.01 g/mol (from previous calculation)
Number of moles of oxygen = 1 (as there is one oxygen atom in each CO molecule)
Number of moles of carbon monoxide = 1 (since it is one mole of carbon monoxide)
Moles of oxygen = (4.39 g / 28.01 g/mol) * (1 mol O / 1 mol CO)
Note: The atomic masses used in the calculations are based on the atomic masses as of September 2021.
Calculations:
1. Grams of carbon = 2.31 mol * 28.01 g/mol = 64.5331 grams
2. Moles of oxygen = (4.39 g / 28.01 g/mol) * (1 mol O / 1 mol CO) = 0.1567 moles
Therefore, there are approximately 64.5331 grams of carbon in 2.31 moles of carbon monoxide, and there are approximately 0.1567 moles of oxygen in 4.39 grams of carbon monoxide.
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Draw the products and necessary reagents of the three step retrosynthetic reaction sequence shown below. Use wedge and dash bonds to indicate stereochemistry where appropriate. Ignore inorganic byproducts. NH2 - Select to Edit 1 Br OD Select to Edit
The reaction sequence involves fragmentation into a primary amine and 1-bromo-2-butanol, followed by Grignard reagent synthesis and reaction with a carbonyl compound, and reductive amination. Specific reagents and reactions are required for each step to obtain the desired products.
Fragmentation: The molecule can be fragmented into two smaller molecules, a primary amine and a 1-bromo-2-butanol. The primary amine can be synthesized from an aldehyde and ammonia, while the 1-bromo-2-butanol can be synthesized from a Grignard reagent and a carbonyl compound.
Grignard reaction: The Grignard reagent can be synthesized by reacting magnesium metal with 1-bromoethane. The Grignard reagent will then react with the carbonyl compound to form the 1-bromo-2-butanol.
Reductive amination: The primary amine can be synthesized by reacting the aldehyde with ammonia in the presence of a reducing agent, such as sodium borohydride.
Here are the products and necessary reagents for each step of the reaction sequence:
Step 1:
Fragmentation:
Primary amine: ammonia + aldehyde
1-bromo-2-butanol: Grignard reagent + carbonyl compound
Grignard reagent: magnesium metal + 1-bromoethane
Step 2:
Grignard reaction:
1-bromoethane + magnesium metal → Grignard reagent
Grignard reagent + carbonyl compound → 1-bromo-2-butanol
Step 3:
Reductive amination:
aldehyde + ammonia + sodium borohydride → primary amine
Here are the structures of the products and necessary reagents for each step of the reaction sequence:
Step 1:
Fragmentation:
Primary amine: NH₂
1-bromo-2-butanol: CH₃CH(Br)CH₂OH
Grignard reagent: CH₃CH₂MgBr
Step 2:
Grignard reaction:
1-bromoethane: CH₃CH₂Br
Magnesium metal: Mg
Step 3:
Reductive amination:
Aldehyde: CH₃CHO
Ammonia: NH₃
Sodium borohydride: NaBH₄
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What is the pH of a mixture of 112.0 mL of a 1.00 M NaOH and
50.0 mL of 1.10 M H2SO4?
The pH of the mixture of 112.0 mL of 1.00 M NaOH and 50.0 mL of 1.10 M H2SO4 is approximately 1.89.
To determine the pH of the mixture of NaOH and H2SO4, we need to consider the neutralization reaction that occurs between the two compounds:
[tex]H_2SO_4 + 2NaOH \rightarrow Na2SO_4 + 2H2O[/tex]
From the balanced equation, we can see that for every 2 moles of NaOH, 1 mole of [tex]H_2SO_4[/tex] is required for complete neutralization. However, in this case, the amounts given are not stoichiometrically equivalent.
First, let's calculate the moles of NaOH and [tex]H_2SO_4[/tex] present in the given volumes:
Moles of NaOH = Concentration of NaOH * Volume of NaOH solution
= 1.00 M * 0.112 L
= 0.112 mol
Moles of [tex]H_2SO_4[/tex] = Concentration of [tex]H_2SO_4[/tex] * Volume of [tex]H_2SO_4[/tex]solution
= 1.10 M * 0.050 L
= 0.055 mol
Since the stoichiometric ratio is 2:1 between NaOH and [tex]H_2SO_4[/tex], we can determine the limiting reactant by comparing the moles of NaOH and [tex]H_2SO_4[/tex]. In this case, [tex]H_2SO_4[/tex] is the limiting reactant since it is present in a lesser amount.
To find the excess moles of NaOH remaining after the reaction, we need to subtract the moles of [tex]H_2SO_4[/tex] used from the moles of NaOH:
Excess moles of NaOH = Moles of NaOH - (2 * Moles of [tex]H_2SO_4[/tex])
= 0.112 mol - (2 * 0.055 mol)
= 0.002 mol
Now we can calculate the total moles of water produced from the reaction:
Moles of water = 2 * Moles of [tex]H_2SO_4[/tex]
= 2 * 0.055 mol
= 0.110 mol
Since water is neutral, it does not contribute to the pH of the solution. Therefore, we can calculate the concentration of H+ ions in the solution by considering only the excess moles of NaOH:
Concentration of H+ ions = Excess moles of NaOH / Total volume of the mixture
= 0.002 mol / (0.112 L + 0.050 L)
≈ 0.013 M
Finally, we can calculate the pH using the equation:
pH = -log[H+]
pH = -log(0.013)
≈ 1.89
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Therefore, the pH of the blend is roughly -0.342.
pH calculation
To decide the pH of the blend, we got to calculate the concentration of the coming about arrangement after the NaOH and H2SO4 are blended.
To begin with, let's calculate the number of moles of NaOH and H2SO4:
moles of NaOH = volume (in liters) × concentration
= 0.112 L × 1.00 M
= 0.112 moles
moles of H2SO4 = volume (in liters) × concentration
= 0.050 L × 1.10 M
= 0.055 moles
Since NaOH may be a solid base and H2SO4 may be a solid corrosive, they will respond in a 1:2 proportion based on the adjusted condition:
2NaOH + H2SO4 -> Na2SO4 + 2H2O
In this manner, the restricting reagent is NaOH, and it'll totally respond with twice the number of moles of H2SO4.
moles of NaOH utilized = 0.112 moles
moles of H2SO4 utilized = 2 × moles of NaOH utilized = 2 × 0.112 moles = 0.224 moles
Presently, ready to calculate the concentration of the coming about arrangement:
add up to volume = volume of NaOH + volume of H2SO4
= 0.112 L + 0.050 L
= 0.162 L
add up to moles = moles of NaOH utilized + moles of H2SO4 utilized
= 0.112 moles + 0.224 moles
= 0.336 moles
concentration of coming about arrangement = add up to moles / total volume
= 0.336 moles / 0.162 L
≈ 2.074 M
At last, we will calculate the pH of the coming about arrangement utilizing the concentration of H+ particles. Since H2SO4 may be a solid corrosive, it dissociates totally, giving two moles of H+ particles for each mole of H2SO4.
concentration of H+ particles = 2 × concentration of H2SO4
= 2 × 1.10 M
= 2.20 M
pH = -log10(concentration of H+ particles)
= -log10(2.20)
≈ -0.342
Therefore, the pH of the blend is roughly -0.342.
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A sample of gas with a volume of 530 mL at 678 mm Hg is allowed to expand by decreasing the pressure to 345 mm Hg at constant temperature? What is the new volume of the gas?
A sample of helium in a balloon at 270 K has a volume of 1.89 L. What volume will the sample of gas have at 351 K if the pressure is held constant while the temperature is changed? (Note temperatures are in Kelvins)
A balloon contains 0.125 mol of helium at STP. What volume does the gas occupy?
The new volume of the gas in Problem 1 is approximately 1,030 mL, the new volume of the gas in Problem 2 is approximately 2.46 L, and the volume of the gas in Problem 3 is approximately 2.72 L.
To solve these problems, we can use Boyle's Law and the ideal gas law equation.
1. Boyle's Law states that for a given amount of gas at constant temperature, the pressure and volume are inversely proportional.
P1V1 = P2V2
Let's solve each problem step by step:
Problem 1:
Given:
V1 = 530 mL
P1 = 678 mm Hg
P2 = 345 mm Hg
We need to find V2.
Using Boyle's Law:
P1V1 = P2V2
678 mm Hg * 530 mL = 345 mm Hg * V2
Solving for V2:
V2 = (678 mm Hg * 530 mL) / 345 mm Hg
V2 is the new volume of the gas after the pressure change.
Problem 2:
Given:
V1 = 1.89 L
T1 = 270 K
T2 = 351 K
We need to find V2.
Using the ideal gas law:
P1V1 / T1 = P2V2 / T2
Since the pressure is held constant:
P1V1 / T1 = P2V2 / T2
V1 / T1 = V2 / T2
Solving for V2:
V2 = (V1 * T2) / T1
V2 is the new volume of the gas after the temperature change.
Problem 3:
Given:
n = 0.125 mol
At STP, temperature T = 273.15 K and pressure P = 1 atm.
We need to find V.
Using the ideal gas law:
PV = nRT
Since we are at STP, we can use the simplified form:
PV = nRT
(1 atm) * V = (0.125 mol) * (0.0821 L·atm/(mol·K)) * (273.15 K)
Solving for V:
V = (0.125 mol * 0.0821 L·atm/(mol·K) * 273.15 K) / (1 atm)
V is the volume of the gas at STP.
Note: The ideal gas law assumes ideal gas behavior and may not be accurate for all gases under all conditions.
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"A glassware/apparatus that is NOT used to protect a balance (scale) from chemical spills is (are) Weighing paper Weigh boat Watch glass Wire gauze
d) Wire gauze is a glass item or apparatus that is not used to shield a balance (scale) from chemical spills.
A gauze made of metal wire or an extremely tiny, gauze-like wire netting is known as wire gauze or wire mesh. In order to protect glassware during heating, wire gauze is either placed on the support ring that is attached to the retort stand between a burner and the glassware or is set up on a tripod to hold beakers, flasks, or other glassware.
Glassware should not be heated by a Bunsen or other gas burner's flame directly; instead, use wire gauze to spread the heat and shield the glass. If glasses are placed on the wire gauze, they must have flat bottoms.
Additionally, safety lamps with flames have been employed in coal mines and other places where combustible gases may accumulate. The wire gauze keeps the flame from igniting gas outside the lamp, which could result in an explosion.
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Correct question:
"A glassware/apparatus that is NOT used to protect a balance (scale) from chemical spills is (are)
a) Weighing paper
b) Weigh boat
c) Watch glass
d) Wire gauze
Classify the following compound. CH 3
CH 2
OH Select one: A. Alcohol B. Ether C. carboxylic acid D. Aldehyde E. ester F. Ketone
The compound CH3CH2OH consists of a carbon chain with a hydroxyl (-OH) group attached to one of the carbon atoms. Based on this structure, we can classify the compound as an alcohol.
Alcohols are a class of organic compounds characterized by the presence of one or more hydroxyl groups (-OH) attached to carbon atoms. They are named by replacing the -e ending of the corresponding alkane with the -ol suffix. In the case of CH3CH2OH, the corresponding alkane is ethane (C2H6), and by replacing the -e ending with -ol, we get ethanol, which is the systematic name for CH3CH2OH.
Alcohols have a wide range of applications and are commonly used as solvents, disinfectants, fuels, and in the production of various chemicals and pharmaceuticals. They can also be used as recreational beverages, such as ethanol in alcoholic beverages.
It is important to note that the classification of compounds is based on their functional groups, which are specific arrangements of atoms that determine the compound's reactivity and properties. In the case of CH3CH2OH, the hydroxyl group (-OH) is the functional group that classifies it as an alcohol.
To summarize, the compound CH3CH2OH is classified as an alcohol due to the presence of the hydroxyl group (-OH) attached to a carbon atom in its structure.
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Consider a 1.000 g sample of a compound that contains only C, H, and O that undergoes combustion to produce 1.502 g of carbon dioxide and 0.411 g of water vapor.
What is the mass percent of carbon in the sample? (Express as a percentage to two decimal places)
What is the mass percent of oxygen in the sample? (Express as a percentage to two decimal places)
The mass percent of carbon in the sample is 109.10% and the mass percent of oxygen in the sample is 0.00%.
The given compound contains carbon, hydrogen, and oxygen. When the given compound is burnt, it produces carbon dioxide and water vapor. The balanced equation for the combustion of the given compound is: CxHyOz + (x + z/4) O2 → x CO2 + y/2 H2OSince the only elements in the given compound are carbon, hydrogen, and oxygen, all the carbon in the compound will be present in the CO2 that is produced. Therefore, the mass of carbon in the sample can be determined by finding the mass of CO2 that is produced. The mass percent of carbon in the sample is calculated as follows: Mass percent of carbon = (mass of carbon / mass of sample) × 100%The mass of carbon in CO2
= 1.502 g − 0.411 g (mass of hydrogen in water vapor)
= 1.091 g Therefore, the mass percent of carbon in the sample is: (1.091 g / 1.000 g) × 100%
= 109.10% rounded to two decimal places.
So, the mass percent of carbon in the sample is 109.10%.The mass of oxygen in the sample can be found by calculating the difference between the mass of the sample and the sum of the masses of carbon and hydrogen that are present in the sample. The mass percent of oxygen in the sample is calculated as follows: Mass percent of oxygen = (mass of oxygen / mass of sample) × 100% The mass of oxygen in the sample is:Mass of sample − (mass of carbon + mass of hydrogen) = 1.000 g − (1.091 g + 0.411 g)
= −0.502 g This is a nonsensical answer. We cannot have negative mass. The reason for this nonsensical answer is that the percentage of oxygen is zero since the formula CxHyOz indicates that the compound contains no oxygen atoms. Therefore, the mass percent of oxygen in the sample is 0.00%. Hence, the mass percent of carbon in the sample is 109.10% and the mass percent of oxygen in the sample is 0.00%.
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15.6.
A reaction is proposed to occur in two steps. Step 1: Fast \( \quad \mathrm{NO}_{2} \mathrm{Cl}(g) \rightarrow \mathrm{NO}_{2}(g)+\mathrm{Cl}(g) \) Step 2: \( \quad \) Slow \( \quad \mathrm{NO}_{2} \m
In the proposed reaction, NO2Cl undergoes a fast reaction to form NO2 and Cl, followed by a slower step whose details are not provided.
In the proposed reaction, there are two steps involved. In the first step, the reactant NO2Cl (nitryl chloride) undergoes a fast reaction to produce NO2 (nitrogen dioxide) and Cl (chlorine) as products.
This step is characterized as fast because it occurs rapidly compared to the second step. The reaction is represented as NO2Cl(g) → NO2(g) + Cl(g).
In the second step, which is considered slow, the product NO2 from the first step reacts further, possibly with another reactant or in a subsequent reaction.
The details of this slow step are not provided in the question, so the specific reaction pathway or reaction equation cannot be determined without additional information.
Overall, the proposed reaction involves the initial formation of NO2 and Cl through the fast step, followed by a slower step that involves the further reaction or transformation of NO2.
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Question 5(Multiple Choice Worth 4 points)
(06.03 MC)
The graph shows the changes in the phase of ice when it is heated.
Phase Change of Ice
C-
Temperature
(C)
B
A-
solid
liquid
25
gas
50 75 100
Time (min)
Which of the following temperatures describes the value of B?
O0 °C, because it is the melting point of ice.
O 100 °C, because it is the boiling point of water.
O Greater than 0 °C, because A represents the temperature at which ice melts.
O Greater than 100 °C, because A represents the temperature at which water evaporates
The temperatures that describes the value of B is A, 0 °C, because it is the melting point of ice.
What does the graph represent?The graph shows that the temperature of the ice is increasing as it is heated. The point at which the line changes from solid to liquid is the melting point of ice. This is the temperature at which the ice changes its phase from solid to liquid. The melting point of ice is 0 °C.
The other options are incorrect. The boiling point of water is 100 °C, and the temperature at which water evaporates is also 100 °C. The temperature at point A is greater than 0 °C, but it is not greater than 100 °C.
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(b) A girl went to a tennis practice holding a bottle Containing 2L(200 kg) of water in her sport bag. Afeer 30 minutes, the Water gets heated by the sun by 6 ∘
( How much heat fid the water absorb From the Sun? Specific heat of Water =4200l/ke
A girl went to a tennis practice holding a bottle Containing 2L(200 kg) of water in her sport bag. Afeer 30 minutes, the Water gets heated by the sun by 6° .The water absorbed 5,040,000 joules (5.04 MJ) of heat from the sun.
To calculate the amount of heat absorbed by the water from the sun, we can use the formula:
Q = mcΔT
where:
Q is the heat absorbed (in joules),
m is the mass of the water (in kilograms),
c is the specific heat capacity of water (in joules per kilogram per degree Celsius),
ΔT is the change in temperature (in degrees Celsius).
First, we need to convert the volume of water into mass using the density of water:
m = Volume × Density = 200 kg.
Now we can calculate the amount of heat absorbed:
Q = mcΔT = 200 kg × 4200 J/(kg·°C) × 6 °C = 5,040,000 J.
Therefore, the water absorbed 5,040,000 joules (5.04 MJ) of heat from the sun.
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Using VSPER what is the shape of water?
Linear
Bent
The shape of water (H₂O) according to the VSEPR (Valence Shell Electron Pair Repulsion) theory is bent or V-shaped.
VSEPR theory is a model used to predict the molecular geometry of molecules based on the repulsion between electron pairs around the central atom. In the case of water, the central atom is oxygen (O) bonded to two hydrogen atoms (H). The oxygen atom has two lone pairs of electrons in addition to the two bonding pairs of electrons.
These electron pairs repel each other and try to maximize the distance between them to minimize repulsion. Due to the presence of two lone pairs of electrons, the bonding pairs are pushed closer together, resulting in a bent shape. The bond angle in water is approximately 104.5 degrees, which deviates slightly from the ideal tetrahedral angle of 109.5 degrees due to the repulsion between the lone pairs and the bonding pairs.
The VSEPR theory suggests that the shape of a molecule is determined by the number of bonding pairs and lone pairs around the central atom. In the case of water, the molecular formula H₂O indicates two bonding pairs and two lone pairs around oxygen.
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A
soltuion is made by mixing 39. g of acetyl bromide (CH3COBR) and
48. g of benzene (C6H6).
calculate the mole fraction of acetyl bromide in this
solution. round to 2 significant digits.
The answer would be 10%. A solution is a homogenous mixture of two or more substances that are uniformly dispersed throughout a single phase. In a solution, there are two types of substances: the solute and the solvent.The solute is the substance that is dissolved, and the solvent is the substance that dissolves the solute.
When the two are mixed together, the solute particles are dispersed uniformly throughout the solvent particles, creating a homogenous mixture. For example, when salt is added to water, the salt dissolves in the water, forming a saltwater solution.
The concentration of a solution is a measure of how much solute is present in a given amount of solvent. There are many different ways to express concentration, including molarity, molality, percent composition, and parts per million.
One common way to express concentration is by using the concept of “percent by mass,” which is the mass of the solute divided by the mass of the solution, multiplied by 100%.
To calculate the percent by mass of a solution, you need to know the mass of the solute and the mass of the solution. First, add the mass of the solute and the mass of the solvent together to get the mass of the solution. Then, divide the mass of the solute by the mass of the solution, and multiply by 100% to get the percent by mass.
As an example, suppose you dissolve 10 grams of salt in 90 grams of water. The mass of the solution is 100 grams (10 + 90), so the percent by mass of the salt is (10 / 100) x 100% = 10%. Therefore, the saltwater solution is 10% salt by mass. When rounding to two significant figures, the answer would be 10%.
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What is the relationship between the pair of molecules below? The two formulas represent different compounds which are constitutional isomers The two formulas represent different compounds that are not isomeric. The two formulas represent resonance structures of the same molecule. The two formulas represent the same compound. eTextbook and Media
The relationship between the pair of molecules represented by the two formulas can be either constitutional isomers, not isomeric compounds, resonance structures of the same molecule, or the same compound. The specific relationship would depend on the actual formulas of the molecules, which were not provided in the question.
The relationship between the pair of molecules represented by the two formulas depends on whether they are constitutional isomers, not isomeric compounds, resonance structures of the same molecule, or the same compound.
If the two formulas are constitutional isomers, it means they have the same molecular formula but different connectivity of atoms. In other words, they have different structures.
If the two formulas are not isomeric compounds, it means they are completely different compounds with different molecular formulas.
If the two formulas are resonance structures of the same molecule, it means they represent different ways of arranging the electrons within the same molecular framework. The actual molecule would be an average of these resonance structures.
If the two formulas represent the same compound, it means they have the same molecular formula and the same connectivity of atoms. They are essentially identical.
In conclusion, the relationship between the pair of molecules represented by the two formulas can be either constitutional isomers, not isomeric compounds, resonance structures of the same molecule, or the same compound. The specific relationship would depend on the actual formulas of the molecules, which were not provided in the question.
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Which of the following Pka values represent a strong acid
Group of answer choices
Pka values below -2 represent strong acids.
A strong acid is one that completely dissociates in water, releasing a high concentration of hydrogen ions (H+). The strength of an acid can be determined by its pKa value, which is the negative logarithm of the acid dissociation constant (Ka).
In general, pKa values below -2 are considered indicative of strong acids. Acids with lower pKa values have higher acidity and readily donate protons in aqueous solutions.
Therefore, among the given pKa values, any value below -2 would represent a strong acid.
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Which of the following statements regarding the reaction quotient (Q) is false? Pick only one. The concentrations to calculate Q are taken at equilibrium conditions. Low Q, relative to K, indicates that product formation will be favored If Q>K then the direction of the equilibrium will shift backwards. The Q expression is govered by the Law of Mass Action.
The false statement regarding the reaction quotient (Q) is: Low Q, relative to K, indicates that product formation will be favored.
The reaction quotient (Q) is a measure of the relative concentrations of reactants and products at any point in a chemical reaction. It is calculated using the same expression as the equilibrium constant (K), but the concentrations used in Q are not necessarily at equilibrium conditions.
When Q is compared to K, it provides information about the direction in which the reaction will proceed to reach equilibrium. If Q is less than K (Q < K), it means the reaction has more reactants than at equilibrium, and the forward reaction will be favored to reach equilibrium. Conversely, if Q is greater than K (Q > K), it means the reaction has more products than at equilibrium, and the reverse reaction will be favored to reach equilibrium.
The Q expression is governed by the Law of Mass Action, which states that the rate of a chemical reaction is proportional to the product of the concentrations of the reactants raised to the power of their stoichiometric coefficients.
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) Briefly discuss three (3) types of interactions typically introduced into the structure of a protein when engineering an enzyme for improved thermostability. Predict the type(5) of stabilization that might occur with the introduction of each type of interaction.
The three types of interactions typically introduced into the structure of a protein when engineering an enzyme for improved thermostability are salt bridges, hydrophobic interactions, disulfide bonds.
The three common types of interactions and the corresponding stabilizations that they may provide:
Salt Bridges/Ionic Interactions: Introducing salt bridges or ionic interactions involves pairing positively and negatively charged amino acid residues within the protein. These interactions can strengthen the protein structure and enhance its stability. The stabilization occurs through electrostatic interactions, which can help maintain the protein's folded conformation, especially at high temperatures.Hydrophobic Interactions: Increasing hydrophobic interactions involves introducing more non-polar amino acid residues into the protein's core. These hydrophobic interactions help stabilize the protein structure by reducing the exposure of hydrophobic regions to the surrounding water. This type of stabilization is particularly important for preventing protein unfolding or denaturation caused by high temperatures.Disulfide Bonds: Introducing disulfide bonds involves creating covalent bonds between two cysteine residues within the protein. Disulfide bonds provide covalent cross-linking that can enhance the protein's stability. They contribute to the formation of a more rigid protein structure and help prevent unfolding or aggregation, especially under harsh conditions.The stabilizations that can occur with the introduction of each type of interaction are as follows:
Salt Bridges/Ionic Interactions: The introduction of salt bridges or ionic interactions can provide electrostatic stabilization. These interactions can strengthen the protein's folded structure and enhance its resistance to unfolding or denaturation, particularly at high temperatures.Hydrophobic Interactions: Increasing hydrophobic interactions can provide hydrophobic stabilization. This stabilization occurs by reducing the exposure of hydrophobic regions to water, which helps maintain the folded conformation and prevents unfolding or aggregation of the protein.Disulfide Bonds: The formation of disulfide bonds can provide covalent stabilization. These bonds create cross-links within the protein structure, enhancing its rigidity and stability. Disulfide bonds can help prevent protein unfolding or aggregation, contributing to improved thermostability.Learn more about Thermostability, here:
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Draw the structure to match the name of each of the following molecule. i. 3,3-dimethylbutanoic acid ii. 3-hydroxybenzoic acid iii. 2-cyclohexenecarboxylic acid 2. Rank the following molecule in order of increasing acidity (least to most acidic)? a.) b.) c.) CI OH CI CO₂H OH Br CF 3 CO₂H OH OH Br Br CO₂H OH OH OH CO₂H
1) The images of the compounds are shown below.
2) The correct order of the acidity of the compounds is option C
Structure of organic compounds
Organic molecules are made up of hydrogen atoms and carbon atoms bound together, as well as additional elements including oxygen, nitrogen, sulfur, and halogens. Molecular formulas, structural formulas, condensed structural formulas, and line-angle formulas can all be used to illustrate the structure of organic molecules.
Predicting an organic compound's behavior, reactions, and qualities requires knowledge of its structure. Chemists can use it to create and synthesize novel chemicals.
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A soccer ball is inflated to a pressure of 2.055 atm at 23.55
degrees C. What will the pressure be, in atm, after a cold weather
soccer game where the temperature is 1.39 degrees C?
The pressure of the soccer ball after the cold weather game is 2.066 atm.
The ideal gas law PV = nRT can be used to find the pressure of a gas given its volume, the amount of gas present, and its temperature. In the given problem, a soccer ball is inflated to a pressure of 2.055 atm at 23.55 degrees C. We are to find the pressure of the ball after it has been in cold weather where the temperature is 1.39 degrees C.
First, we need to find the number of moles of gas present in the soccer ball. We can do this by using the ideal gas law:
PV = nRT
n = PV/RT
where P is the pressure of the gas, V is its volume, T is its temperature, and R is the ideal gas constant.
We are not given the volume of the soccer ball, so we cannot solve for n directly. However, we can use the fact that the ball is inflated to the same pressure before and after the cold weather game. This means that the number of moles of gas present in the ball remains constant. We can set the initial and final values of n equal to each other:
n₁ = n₂
(P₁V)/RT₁ = (P₂V)/RT₂
Solving for P₂:
P₂ = P₁(T₂/T₁)(R/V)
Plugging in the given values:
P₂ = 2.055 atm × (274.54 K/296.7 K) × (0.08206 L·atm/mol·K/unknown V)
Solving for V, we get:
V = (2.055 atm × 274.54 K × 0.08206 L·atm/mol·K)/(296.7 K × 1 atm)
= 0.0413 L
Plugging in V, we get:
P₂ = 2.055 atm × (274.54 K/275.54 K) × (0.08206 L·atm/mol·K/0.0413 L)
= 2.066 atm
Therefore, the pressure of the soccer ball after the cold weather game is 2.066 atm.
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A hydrogen atom absorbs a photon of visible light, and its electron enters the n=4 energy level. Calculate the change in energy of the atom and the wavelength (in nm) of the photon. a) 20.4×10−19 J and 97.44 nm b) 4.09×10−19 J and 486 nm c) 5.09×10−19 J and 4.86 nm d) 4.09×10−19 J and 386 nm
The correct option for hydrogen atom change in energy is option d) [tex]4.09 * 10^{-19} J[/tex] and 386 nm.
For knowing the change in energy of the hydrogen atom and the wavelength of the photon, we can use the Rydberg formula and the equation relating energy and wavelength.
The Rydberg formula is given by:
1/λ = R * (1/n1^2 - 1/n2^2)
Where λ is the wavelength, R is the Rydberg constant (approximately [tex]1.097 * 10^{7} m^{-1}[/tex]), and n1 and n2 are the initial and final energy levels of the electron.
In this case, the electron of the hydrogen atom moves from the n=1 energy level to the n=4 energy level, so we can substitute these values into the Rydberg formula.
1/λ = R * ([tex]1/1^2 - 1/4^2[/tex])
1/λ = R * (1 - 1/16)
1/λ = R * (15/16)
Now, we can solve for λ:
λ = 16/(15 * R)
λ = 16/(15 * 1.097 × 10^7)
λ ≈ 97.44 nm
The change in energy can be calculated using the equation:
ΔE = E2 - E1
ΔE = (-(13.6 eV) / n2^2) - (-(13.6 eV) / n1^2)
ΔE = (-(13.6 eV) / 4^2) - (-(13.6 eV) / 1^2)
ΔE ≈ -4.09 × 10^(-19) J
Therefore, the correct answer is:
b) 4.09 × 10^(-19) J and 386 nm
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How are the exponents in a rate law determined? a. They are equal to the inverse of the coefficients in the overall balanced chemical equation. b. They are determined by experimentation. c. They are equal to the coefficients in the overall balanced chemical equatior d. They are equal to the reactant concentrations. e. They are equal to the ln(2) divided by the rate constant.
The exponents in a rate law are determined by b. They are determined by experimentation.
The rate law describes the relationship between the rate of a chemical reaction and the concentrations of the reactants. The exponents in the rate law, also known as reaction orders, are not determined by the overall balanced chemical equation or the stoichiometric coefficients.
The values of the reaction orders can only be determined through experimentation. They depend on the specific reaction and cannot be predicted solely based on the stoichiometry of the reaction. Experimental techniques, such as the method of initial rates or the method of integrated rate laws, are used to determine the reaction orders.
By systematically varying the concentrations of the reactants and measuring the corresponding reaction rates, scientists can determine the exponents in the rate law. These experimental observations allow for the determination of the specific reaction orders, which may or may not correspond to the stoichiometric coefficients of the overall balanced chemical equation. Therefore, option b is correct.
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You need to make an aqueous solution of \( 0.225 \mathrm{M} \) sodium chloride for an experiment in lab, using a \( 300 \mathrm{~mL} \) volumetric flask. How much solid sodium chloride should you add?
3.33 grams of solid sodium chloride should be added to make a 0.225 M sodium chloride solution in a 300 mL volumetric flask. Use approximately 165 mL of a 0.140 M potassium fluoride solution to produce 13.9 grams of potassium fluoride. The hydroiodic acid solution has a concentration of around 0.356 M after dilution.
To calculate the amount of solid sodium chloride needed to prepare a 0.225 M solution in a 300 mL volumetric flask, we can use the formula:
Mass of solute (sodium chloride) = Molarity × Volume × Molar mass
Substituting the values into the formula:
Mass of solute (NaCl) = 0.225 M × 0.300 L × 58.44 g/mol
Therefore, the amount of solid sodium chloride needed is approximately:
Mass of solute (NaCl) = 3.33 grams
For the second question, to calculate the volume of a 0.140 M potassium fluoride (KF) solution needed to obtain 13.9 grams of the salt, we can rearrange the formula:
Volume (V) = Mass of solute / (Molarity × Molar mass)
Substituting the values into the formula:
Volume (V) = 13.9 g / (0.140 M × 58.10 g/mol)
Therefore, the volume of the 0.140 M potassium fluoride solution needed is approximately:
Volume (V) = 165 mL
For the third question, to determine the concentration of the dilute solution after diluting 4.44 mL of a concentrated 6.00 M hydroiodic acid (HI) solution to a total volume of 75.0 mL, we can use the formula:
M₁ × V₁ = M₂ × V₂
Given:
M₁ = 6.00 M (concentrated solution)
V₁ = 4.44 mL (volume of concentrated solution)
V₂ = 75.0 mL (total volume after dilution)
Rearranging the formula to solve for M₂:
M₂ = (M₁ × V₁) / V₂
Substituting the values into the formula:
M₂ = (6.00 M × 4.44 mL) / 75.0 mL
Therefore, the concentration of the dilute hydroiodic acid solution is approximately:
M₂ = 0.356 M
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Complete question :
You need to make an aqueous solution of 0.225M sodium chloride for an experiment in lab, using a 300 mL volumetric flask. How much solid sodium chloride should you add? grams How many milliliters of an aqueous solution of 0.140M potassium fluoride is needed to obtain 13.9 grams of the salt? mL In the laboratory you dilute 4.44 mL of a concentrated 6.00M hydroiodic acid solution to a total volume of 75.0 mL. What is the concentration of the dilute solution?
Consider a reaction that is spontaneous at 343K. Someone tells you that the enthalpy change of this reaction at 343 K is -54.1 kJ. What can you conclude about the sign and magnitude of AS for the reac
We can conclude that the sign of ΔS is negative and the magnitude is zero. Given information The given reaction is spontaneous at 343 K.The enthalpy change of this reaction at 343 K is -54.1 kJ.
We know that a reaction will be spontaneous if ΔG is negative.
ΔG = ΔH - TΔS
Where,ΔG is the Gibbs free energyΔH is the enthalpy change T is the temperatureΔS is the entropy change
Since the reaction is spontaneous, we can conclude that ΔG is negative.
ΔG = ΔH - TΔS-54.1 kJ
= ΔH - (343 K)ΔS
Here, we can conclude the sign of ΔS for the reaction.
-54.1 kJ = ΔH - (343 K)ΔSΔS
= (ΔH / 343 K) - (-54.1 kJ / 343 K)
= ΔH / 343 K + 54.1 kJ / 343 K
= (ΔH + 54.1 kJ) / 343 K
The negative sign of ΔH indicates that the reaction is exothermic. Since the reaction is spontaneous, ΔG is negative. A negative ΔG indicates that ΔH - TΔS is negative.Since ΔH is negative and T is positive, we can conclude that ΔS is also negative. Thus, we can conclude that the sign of ΔS for the reaction is negative, which means the entropy of the system decreases. The magnitude of ΔS can be calculated using the equation:
ΔS = (ΔH + 54.1 kJ) / 343 KΔS = (-54.1 kJ + 54.1 kJ) / 343 K= 0
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As soon as possible, in details please.
Use Hckels approximation method to find out the Pibonding system in the open butadiene molecule in its eclipsed form .
The Hückel approximation method can be used to analyze the π-bonding system in the open butadiene molecule in its eclipsed form.
The Hückel approximation method is a simplified approach to analyze the electronic structure of conjugated π-systems, such as in organic molecules with alternating single and double bonds. In the case of butadiene, an open-chain hydrocarbon with four carbon atoms, the eclipsed form refers to the arrangement of the two π-bonds along the chain, where the p-orbitals overlap directly.
To determine the π-bonding system using the Hückel approximation, we consider the molecular orbital (MO) theory. In this method, the π-electrons are assumed to move within a set of π-molecular orbitals formed by the overlapping p-orbitals of carbon atoms.
In the eclipsed form of butadiene, there are four carbon atoms and four π-electrons involved. Each carbon atom contributes one p-orbital, resulting in four π-orbitals. The π-electrons fill these orbitals in accordance with the Pauli exclusion principle and Hund's rule.
Using the Hückel approximation, we can construct the secular determinant and solve it to obtain the energy levels and corresponding molecular orbitals. The analysis of the energy levels and nodal patterns of the molecular orbitals reveals the bonding and antibonding interactions within the π-bonding system of butadiene.
By applying the Hückel approximation method to the eclipsed form of butadiene, we can determine the arrangement and energy levels of the π-molecular orbitals, providing insights into the electronic structure and bonding nature of this molecule.
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A self-contained underwater breathing apparatus uses canisters containing potassium superoxide. The superoxide consumes the CO3 exhaled by a person and replaces it with oxygen. 4KO 3
( s)+2CO 2
( g)→2 K 3
CO 3
( s)+3O 3
( g) What mass of KO 2
, in grams, is required to react with 16.0 L of CO 2
at 24.0 ∘
C and 866 mmHg ? Mass = If 27.9 g of O 2
is required to inflate a balloon to a certain size at 39.0 ∘
C, what mass of O 2
is required to inflate it to the same size (and pressure) at 3.0 ∘
C ? Mass = 9
To find the mass of KO2 needed, we use the ideal gas law to convert the given volume of CO2 to moles. Then, we apply the stoichiometry of the balanced chemical equation to calculate the moles of KO2 required. Finally, we convert the moles of KO2 to grams using the molar mass.
To determine the mass of KO2 required to react with 16.0 L of CO2, we need to use the balanced chemical equation provided: 4KO3(s) + 2CO2(g) → 2K3CO3(s) + 3O2(g).
1. Convert the given volume of CO2 to moles using the ideal gas law. The ideal gas law is given by PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
2. Rearrange the ideal gas law to solve for n (moles): n = PV / RT.
3. Plug in the given values for pressure (866 mmHg), volume (16.0 L), and temperature (24.0 ∘C converted to Kelvin) into the ideal gas law equation to calculate the number of moles of CO2.
4. Multiply the moles of CO2 by the stoichiometric coefficient of CO2 in the balanced equation (2) and divide by the stoichiometric coefficient of KO2 (4) to determine the moles of KO2 required.
5. Convert the moles of KO2 to grams by multiplying by the molar mass of KO2 (potassium superoxide).
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Suppose a \( 250 . \mathrm{mL} \) flask is filled with \( 0.60 \mathrm{~mol} \) of \( \mathrm{H}_{2} \) and \( 0.10 \mathrm{~mol} \) of \( \mathrm{I}_{2} \). The following reaction becomes possible: \
Combining 0.60 mol of H2 and 0.10 mol of I2 in a 250 mL flask leads to the formation of 0.10 mol of HI, leaving 0.50 mol of unreacted H2 in the flask.
The reaction that becomes possible in the given scenario is the formation of hydrogen iodide (HI) through the combination of hydrogen gas (H2) and iodine gas (I2). The balanced equation for this reaction is:
H2 + I2 -> 2HI
In the flask, there are 0.60 mol of H2 and 0.10 mol of I2. Since the reaction consumes 1 mole of H2 for every 1 mole of I2, all the I2 will react completely. However, only 0.10 mol of H2 will react, leaving 0.50 mol of H2 unreacted.
The reaction will produce 0.10 mol of HI, resulting in a mixture of unreacted H2 (0.50 mol) and HI (0.10 mol) in the 250 mL flask.
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the pH of a solution is 6.07 +/- 0.02. Find the concentration of OH- +/- uncertainty if a) Kw= 1 x 10^-14 b) Kw=1 x 10^-14 (+/- 0.10)
When the pH of a solution is 6.07 +/- 0.02, the concentration of OH- is approximately 9.1 x 10^-9 M. However, if the value of Kw is known with an uncertainty of +/- 0.10, the concentration of OH- is (9.2 x 10^-9 M) +/- (0.1 x 10^-9 M).
These calculations are based on the principles of pH and the ion product of water. The concentration of hydroxide ions (OH-) in a solution can be determined based on the pH and the value of Kw, the ion product of water. Given that the pH of the solution is 6.07 +/- 0.02, we can calculate the concentration of OH- under two different conditions:
a) When Kw is known to be 1 x 10^-14:
The pH of a solution is defined as the negative logarithm (base 10) of the concentration of hydrogen ions (H+). In a neutral solution, the concentration of H+ is equal to the concentration of OH-. Therefore, we can calculate the concentration of OH- by taking the antilogarithm (base 10) of the negative pH value. In this case, the concentration of OH- is 1 x 10^-(14-pH) = 1 x 10^-(14-6.07) = 9.1 x 10^-9 M. The uncertainty of the concentration of OH- is the same as the uncertainty in pH, which is +/- 0.02.
b) When Kw is known to be 1 x 10^-14 (+/- 0.10):
In this case, the uncertainty in Kw affects the uncertainty in the calculation of OH-. The concentration of OH- can be determined by using the same formula as in case a), but with the upper and lower bounds of Kw. When Kw is equal to 1 x 10^-14 + 0.10, the concentration of OH- is 1 x 10^-(14+0.10-6.07) = 9.1 x 10^-9 M. When Kw is equal to 1 x 10^-14 - 0.10, the concentration of OH- is 1 x 10^-(14-0.10-6.07) = 9.2 x 10^-9 M. Therefore, the concentration of OH- with uncertainty is (9.2 x 10^-9 M) +/- (0.1 x 10^-9 M).
In summary, when the pH of a solution is 6.07 +/- 0.02, the concentration of OH- is approximately 9.1 x 10^-9 M. However, if the value of Kw is known with an uncertainty of +/- 0.10, the concentration of OH- is (9.2 x 10^-9 M) +/- (0.1 x 10^-9 M). These calculations are based on the principles of pH and the ion product of water.
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