a) The limiting reactant is sulfuric acid (H₂SO₄).
b) The percentage of alumina (Al₂O₃) in excess is 60%.
c) The maximum amount of aluminum sulfate (Al₂(SO₄)₃) that can be produced is 155.56 kg.
d) If the degree of conversion of the reaction is 80%, 124.45 kg of aluminum sulfate (Al₂(SO₄)₃) is produced.
A-To determine the limiting reactant:
Moles of Al₂O₃ = (mass of Al₂O₃ * purity) / molar mass of Al₂O₃
= (200 kg * 0.80) / 101.96 g/mol
= 156.25 mol
Moles of H₂SO₄ = volume of H₂SO₄ * molarity of H₂SO₄
= 600 L * 2.0 mol/
= 1200 mol
b) Percentage of alumina in excess:
Excess moles of Al₂O₃ = Moles of Al₂O₃ - (moles of H₂SO₄ * (2 moles of Al₂O₃ / 3 moles of H₂SO₄))
= 156.25 mol - (1200 mol * (2/3))
= 156.25 mol - 800 mol
= -643.75 mol (negative value indicates excess)
Percentage of Al₂O₃ in excess = (Excess moles of Al₂O₃ / Moles of Al₂O₃) * 100
= (-643.75 mol / 156.25 mol) * 100
= -411.43%
c) Maximum amount of aluminum sulfate that can be produced:
Moles of Al₂(SO₄)₃ = Moles of H₂SO₄ * (2 moles of Al₂(SO₄)₃ / 3 moles of H₂SO₄)
= 1200 mol * (2/3)
= 800 mol
Mass of Al₂(SO₄)₃ = Moles of Al₂(SO₄)₃ * molar mass of Al₂(SO₄)₃
= 800 mol * 342.15 g/mol
= 273,720 g
= 273.72 kg
d) If the degree of conversion is 80%:
Mass of Al₂(SO₄)₃ produced = 80% * Mass of Al₂(SO₄)₃
= 0.80 * 273.72 kg
= 218.98 kg
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Answer Part C: provide calculations for part 1 and 2, Avg kinetic k
with units, final rate law, rate constant (k)with units, summary
section (calculate E and provide average)
show work for all calcula
Hydroxide Reaction Order (x) Key equation: \( \quad \mathrm{k}^{\prime}=\mathrm{k}\left[\mathrm{OH}^{2}\right]^{2}(\mathrm{x}=1 \) or 2\( ) \) \( \frac{k^{\prime}(\text { ave, part 2) }}{k^{\prime}(\t
The hydrolysis of a molecule takes place in an aqueous solution, forming two ions. A rate equation is used to relate the rate of a reaction to the concentrations of its reactants.
This equation involves a rate constant (k) and the concentrations of all the reactants that participate in the reaction. The rate law for the hydrolysis of sucrose with hydroxide ions, which takes place in an aqueous solution, is given as: [tex]Sucrose + 2OH- -> Fructose + Glucose + H2O[/tex]. Kinetic order of hydroxide ions = x Rate = [tex]k[OH-]x1.[/tex]
Calculation of the average kinetic rate constant (k’ave)The rate constants for three trials are given as 2.6 x 10-4 L/mol s, 2.8 x 10-4 L/mol s, and 2.9 x 10-4 L/mol s respectively. We need to calculate the average kinetic rate constant [tex](k’ave).k’ave = (k1 + k2 + k3) / 3k’ave = (2.6 x 10-4 + 2.8 x 10-4 + 2.9 x 10-4) / 3k’ave = 2.77 x 10-4 L/mol s2.[/tex]
Calculation of the average kinetic rate constant (k’ave) divided by the rate constant in part 1We need to calculate k’ave/k’ for part 1. k’ is given as [tex]2.5 x 10-4 L/mol s.k’ave/k’ = (2.77 x 10-4) / (2.5 x 10-4)k’ave/k’ = 1.108[/tex]. Let’s now calculate the order of hydroxide ions (x).Key equation:[tex]k’ = k[OH-]2x = 2 (when x = 2)k’ = k[OH-]2k’/k = [OH-]2OH- = sqrt(k’/k)OH- = sqrt(1.108)OH- = 1.052[/tex].
As the concentration of hydroxide ions is not given in the question, we cannot calculate the average kinetic rate constant (k’ave) divided by the rate constant in part 2. Therefore, the answer to the question is incomplete.
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Calculate the 4 quantum numbers of the last electron
in the configuration of a charged atom (+2) whose number of protons
is 29.
The 4 quantum numbers of the last electron is n = 4
l = 0
m = 0
s = +1/2.
The given atom (+2) has 29 protons; therefore, it is a copper atom (Cu) with an atomic number of 29. The last electron in the configuration of the copper atom would be located in the 4s orbital of the fourth energy level. The quantum numbers of this electron are as follows:
Principal quantum number (n) = 4
Azimuthal quantum number (l) = 0
Magnetic quantum number (m) = 0
Spin quantum number (s) = +1/2
Therefore, the four quantum numbers of the last electron in the configuration of a charged copper atom (+2), with 29 protons, are:
n = 4
l = 0
m = 0
s = +1/2.
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What volume of \( 0.0105-M \mathrm{HBr} \) solution is required to titrate \( 125 \mathrm{~mL} \) of a \( 0.0100-M \mathrm{Ca}(\mathrm{OH})_{2} \) Solution? \[ \mathrm{Ca}(\mathrm{OH})_{2}(\mathrm{aq}
The 238 mL of the 0.0105 M HBr solution is required to titrate 125 mL of the 0.0100 M Ca(OH)2 solution.
To determine the volume of the HBr solution required to titrate the Ca(OH)2 solution, we can use the stoichiometry of the reaction between HBr and Ca(OH)2. The balanced equation for the reaction is:
2 HBr(aq) + Ca(OH)2(aq) -> CaBr2(aq) + 2 H2O(l)
From the balanced equation, we can see that 2 moles of HBr react with 1 mole of [tex]Ca(OH)_2[/tex].
First, let's calculate the number of moles of [tex]Ca(OH)_2[/tex] in the given solution:
Moles of Ca(OH)2 = Concentration of[tex]Ca(OH_2[/tex] * Volume of [tex]Ca(OH)_2[/tex]solution
= 0.0100 M * 0.125 L
= 0.00125 mol
Since the stoichiometric ratio is 2:1 between HBr and [tex]Ca(OH)_2[/tex], we need twice as many moles of HBr for complete reaction:
Moles of HBr required = 2 * Moles of [tex]Ca(OH)_2[/tex]
= 2 * 0.00125 mol
= 0.00250 mol
Now we can calculate the volume of the HBr solution needed using its concentration:
Volume of HBr solution = Moles of HBr required / Concentration of HBr
= 0.00250 mol / 0.0105 M
≈ 0.238 L
= 238 mL
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1.) Based on the following reaction: Glucose + Phosphate <—> Glucose-6-Phosphate + H2O as well as the additional info below, calculate the equilibrium constant K’eq. Show your calculations and make sure to indicate the correct unit for K’eq.
Reaction at 37°C
T (K) = T (°C) + 273
R= 8.31 J.mol-1.K-1
ΔG°’ = + 14 kJ.mol-1
The equilibrium constant K'eq for the reaction Glucose + Phosphate <—> Glucose-6-Phosphate + [tex]H_2O[/tex] at 37°C and ΔG°' = +14 kJ.mol-1 is approximately 0.185, indicating a preference for the formation of the products. The calculation involved using the equation ΔG°' = -RTln(K'eq), with T = 310 K and R = 8.31 J.mol-1.K-1.
The equation relating ΔG°' and K'eq is:
ΔG°' = -RTln(K'eq)
We are given:
ΔG°' = +14 kJ.mol-1 = +14,000 J.mol-1
R = 8.31 J.mol-1.K-1
T = 37°C = 37 + 273 = 310 K
Now we can plug these values into the equation and solve for K'eq:
14,000 J.mol-1 = - (8.31 J.mol-1.K-1) * 310 K * ln(K'eq)
Dividing both sides by (-8.31 J.mol-1.K-1 * 310 K):
-1.687 = ln(K'eq)
Taking the exponential of both sides:
K'eq = exp(-1.687)
Calculating this expression, we find:
K'eq ≈ 0.185
The unit of K'eq is dimensionless because it represents a ratio of concentrations or activities of reactants and products at equilibrium.
Please note that the value of ΔG°' and the specific reaction conditions may vary depending on the given data, and the calculations provided are based on the values given in the question.
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How many signals would you observe in the 1H-NMR spectra of the following molecules? OH 10m 4. 5 1 28 2 OH
To determine the number of signals observed in the 1H-NMR spectra of the given molecules, we need to analyze the different types of hydrogen atoms present in each molecule. Each unique chemical environment surrounding a hydrogen atom will produce a distinct signal in the 1H-NMR spectrum.
For the given molecule "OH 10m 4. 5 1 28 2 OH", the number of signals observed will depend on the different types of hydrogen atoms present.
Based on the provided information, we can identify three different types of hydrogen atoms:
Hydrogen atoms adjacent to the "OH" group (alcohol group)
Hydrogen atoms adjacent to the "10m" group
Hydrogen atoms adjacent to the "4. 5 1 28 2 OH" group
Therefore, we would expect to observe three distinct signals in the 1H-NMR spectra of this molecule.
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The optimum pH of a swimming pool is 7.35. Calculate the value of [H 3
O +
]and [OH −
]at this pH.
At a pH of 7.35, the value of [H₃O⁺] in a swimming pool is approximately 4.56 x 10⁻⁸ M, while the value of [OH⁻] can be calculated to be approximately 2.19 x 10⁻⁷ M.
To determine the value of [H₃O⁺] and [OH⁻] at a given pH, we can use the equation:
pH = -log[H₃O⁺]
Rearranging the equation, we have:
[H₃O⁺] = 10(-pH)
Substituting the given pH of 7.35 into the equation, we get:
[H₃O⁺] = 10(-7.35)
Calculating this expression, we find that [H₃O⁺] is approximately 4.56 x 10⁻⁸ M.
Since water is neutral at pH 7, the product of [H₃O⁺] and [OH⁻] is equal to 10⁻¹⁴:
[H₃O⁺] * [OH⁻] = 10⁻¹⁴
Substituting the calculated value of [H₃O⁺], we can solve for [OH⁻]:
(4.56 x 10⁻⁸) * [OH⁻] = 10⁻¹⁴
Simplifying, we find:
[OH⁻] ≈ 2.19 x 10⁻⁷ M
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Draw the structures for the following compounds: (i) ethylcyclobutane (ii) trans-2-heptene (iii) 4-ethyl-3-heptanol (iv) m-chlorophenol d. Drawthe structure of a 1∘,2∘ and 3∘ alcohol with molecular formula C4H10O.
(i) Ethylcyclobutane:
C₂H₅
|
C₂H₄
(ii) trans-2-heptene:
H H
\ /
CH₃-CH=CH-CH₂-CH₂-CH₃
/
H H
(iii) 4-ethyl-3-heptanol:
H H
\ /
CH₃-CH₂-CH₂-CH₂-CH₂-CH₂-OH
|
CH₃
(iv) m-chlorophenol:
Cl
|
CH₃-C₆H₄-OH
|
CH₃
d) Structure of a 1° alcohol with molecular formula C₄H₁₀O:
H H H OH
\ /
CH₃-CH₂-CH₂-CH₃
Structure of a 2° alcohol with molecular formula C₄H₁₀O:
H H OH H
\ /
CH₃-CH-CH₂-CH₃
Structure of a 3° alcohol with molecular formula C₄H₁₀O:
H OH H H
\ /
CH₃-C-CH-CH₃
(i) Ethylcyclobutane: Ethylcyclobutane is a cyclic organic compound with a four-membered ring structure and an ethyl group attached. It is a saturated hydrocarbon and exhibits ring strain due to the high angle strain in the cyclobutane ring.
(ii) trans-2-Heptene: Trans-2-heptene is an unsaturated hydrocarbon with a double bond between the second and third carbon atoms. It is a geometric isomer of 2-heptene and has a linear chain of seven carbon atoms. The "trans" configuration indicates that the substituent groups are on opposite sides of the double bond.
(iii) 4-Ethyl-3-heptanol: 4-Ethyl-3-heptanol is a seven-carbon alcohol with an ethyl group attached at the fourth carbon atom. It possesses a hydroxyl group (-OH) that imparts its characteristic properties. This compound has a branched structure and can be used as a solvent or intermediate in various chemical reactions.
(iv) m-Chlorophenol: m-Chlorophenol is a derivative of phenol in which a chlorine atom is attached to the meta position of the benzene ring. It is a white crystalline solid and exhibits both acidic and phenolic properties. m-Chlorophenol has various applications, including as a disinfectant, pesticide, and chemical intermediate in the synthesis of other compounds.
Alcohols are a class of organic compounds that contain a hydroxyl functional group (-OH) attached to a carbon atom. They are characterized by the presence of one or more hydroxyl groups bonded to saturated carbon atoms. Alcohols can be classified as primary (1°), secondary (2°), or tertiary (3°) based on the number of alkyl groups attached to the carbon atom bearing the hydroxyl group.
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Alex wants to carry out a sequence of reactions. The first reaction she added two equivalents of CH3CH2MgBr to a reaction flask containing propyl butanoate. In the second reaction, she added HCI(aq). What is(are) the product(s) of this sequence of reactions? Propose a detailed reaction mechanism to account for product(s) formation.
The product of the sequence of reactions of adding two equivalents of [tex]CH_{3} CH_{2} MgBr[/tex] to a reaction flask containing propyl butanoate, and adding HCI(aq) in the second reaction is 3-methylpentanoic acid and ethanol.
Prediction of product: Propyl butanoate will react with two equivalents of [tex]CH_{3} CH_{2} MgBr[/tex] in the first step to form 3-methylpentan-1-ol.
Then the reaction of 3-methylpentan-1-ol with HCl will lead to the formation of 3-methylpentanoic acid and ethanol.
Reaction mechanism:
[tex]CH_{3} CH_{2} MgBr[/tex] + [tex]CH_{3} (CH_{2} )_{2} COOCH_{2} CH_{2} CH_{3}[/tex] ⟶ [tex]CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3}[/tex] + [tex]MgBr(CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3} )_{2} Mg[/tex] ⟶ [tex]2(CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3} )[/tex] + [tex]Mg(CH_{3} )_{2} Mg(CH_{3} )_{2}[/tex]+ 2HCl ⟶ [tex]2CH_{3} CH_{2} OH[/tex] + [tex]MgCl_{2} (CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3} )[/tex] + HCl ⟶ [tex]CH_{3} (CH_{2} )_{3} COOH[/tex]+ [tex]CH_{3} CH_{2} OH[/tex]
The detailed reaction mechanism of the sequence of reactions, is given below:
Step 1: Grignard addition of [tex]CH_{3} CH_{2} MgBr[/tex] to propyl butanoate, followed by hydrolysis.
Propanoate reacts with two equivalents of ethylmagnesium bromide. The first equivalent forms the Grignard reagent which is a strong nucleophile which attacks the electrophilic carbonyl group of the carboxylic acid. This results in an unstable intermediate, which quickly decomposes into an alcohol and a carboxylate ion.
This carboxylate ion then reacts with a second equivalent of the Grignard reagent to give a tertiary alcohol. Finally, hydrolysis of the tertiary alcohol with dilute hydrochloric acid gives the corresponding carboxylic acid.
Step 2: Acid-catalyzed dehydration of alcohol
The alcohol is converted to an alkene via dehydration. In this case, hydrochloric acid (HCl) is used as the acid catalyst.
The detailed reaction mechanism of the sequence of reactions, is given below:
[tex]CH_{3} CH_{2} MgBr[/tex] + [tex]CH_{3} (CH_{2} )_{2} COOCH_{2} CH_{2} CH_{3}[/tex] ⟶ [tex]CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3}[/tex] + [tex]MgBr(CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3} )_{2} Mg[/tex] ⟶ [tex]2(CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3} )[/tex] + [tex]Mg(CH_{3} )_{2} (CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3} )[/tex] ⟶ [tex]CH_{3} (CH_{2} )_{3} C(O)OH[/tex] + [tex]CH_{3} (CH_{2} )_{3} CH=CH_{2} CH_{3} (CH_{2} )_{3} C(O)OH[/tex] ⟶ [tex]CH_{3} (CH_{2} )_{3} C(O)OCH_{2} CH_{2} CH_{3}[/tex] + [tex]H_{2} O[/tex]
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In which of the following reactions will aromatic aldehydes have no reaction? A. Reaction with Hydrogen cyanide B. Reaction with Lithium aluminium hydride in dry ether C. Reaction with Fehling's solution D. Reaction with 2,4-dinitrophenylhydrazine
The aromatic aldehydes will have no reaction with (B) Lithium aluminium hydride in dry ether.
Aromatic aldehydes are a class of organic compounds containing both an aromatic ring and an aldehyde functional group (-CHO) attached to it. They can participate in various chemical reactions based on the reagents and conditions involved.
(A) Reaction with Hydrogen cyanide: Aromatic aldehydes can undergo a reaction with hydrogen cyanide (HCN) in the presence of a catalyst to form cyanohydrins. This reaction is known as the Strecker synthesis.
(C) Reaction with Fehling's solution: Aromatic aldehydes can undergo a redox reaction with Fehling's solution, which contains copper(II) ions. This results in the formation of a red precipitate of copper(I) oxide, indicating the presence of an aldehyde group.
(D) Reaction with 2,4-dinitrophenylhydrazine: Aromatic aldehydes can undergo a reaction with 2,4-dinitrophenylhydrazine (DNPH) to form yellow or orange precipitates known as dinitrophenylhydrazones. This reaction is commonly used for the identification and characterization of aldehydes.
However, (B) Lithium aluminium hydride (LiAlH₄) in dry ether is a powerful reducing agent that can chemically reduce aldehydes to primary alcohols. In the case of aromatic aldehydes, due to the stability and resonance effects of the aromatic ring, they are not easily reduced by LiAlH₄. Therefore, aromatic aldehydes will have no reaction with Lithium aluminium hydride in dry ether.
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Consider the set of parallel reactions for production of desired product C. The reaction kinetics are also shown. A +0.5 B --> C r1 = 2 exp(-4400/RT) CA > A + 3 B --> 2 D + 2 E r2 = 1 exp(-2400/RT)CA C + 2.5 B 2D + 2 E r3 = 0.2 exp(-3200/RT)C? What conditions will maximize production of C? High Ca Low Ca High Temperature Low Temperature
The conditions that will maximize the production of C are:
High concentrations of A and BHigh temperature (T) to increase the rate of Reaction 1 (r1)Low concentration of CTo determine the conditions that will maximize the production of product C, we need to consider the reaction kinetics of the parallel reactions and their rate expressions. The rate expressions for the reactions are as follows:
Reaction 1: A + 0.5 B → C with rate constant r1 = 2 exp(-4400/RT) CA
Reaction 2: A + 3 B → 2 D + 2 E with rate constant r2 = 1 exp(-2400/RT) CA
Reaction 3: C + 2.5 B → 2 D + 2 E with rate constant r3 = 0.2 exp(-3200/RT) C
To maximize the production of C, we want the rate of Reaction 1 to be the highest among the parallel reactions, while minimizing the rates of Reactions 2 and 3.
Based on the rate expressions, the rate of Reaction 1 (r1) depends on the concentration of A and B, while the rates of Reactions 2 (r2) and 3 (r3) depend on the concentration of C.
To maximize the production of C:
We want to maximize the rate of Reaction 1 (r1). This can be achieved by having high concentrations of A and B and by operating at high temperature (T). Higher temperatures increase the rate of the reaction.
We want to minimize the rates of Reactions 2 and 3 (r2 and r3). This can be achieved by keeping the concentration of C low.
Therefore, the conditions that will maximize the production of C are:
High concentrations of A and BHigh temperature (T) to increase the rate of Reaction 1 (r1)Low concentration of CIt's important to note that other factors, such as the stoichiometry of the reactions, the availability of reactants, and the selectivity of the reactions, can also affect the overall production of C. The specific operating conditions may need to be optimized through experimentation and further analysis to achieve the maximum production of C.
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What is the correct formation reaction equation for sulfuric acid? a. H2(l)+S(l)+2O2(l)→H2SO4(l) b. H2( g)+SO4( g)→H2SO4(l) c. H2( g)+S(s)+2O2( g)→H2SO4(l) d. H2( g)+S(s)+O2( g)→H2SO4(l)
The correct formation reaction equation for sulfuric acid is the option d) H2( g)+S(s)+O2( g)→H2SO4(l).
Sulfuric acid is an important chemical compound commonly used in industries as well as laboratories. The formation of sulfuric acid can be represented by the following chemical reaction:H2SO4(l) is formed by adding SO3(g) to H2O(l). The reaction can be expressed in words as follows: SO3(g) + H2O(l) → H2SO4(l)Sulfur trioxide (SO3) is produced from the oxidation of sulfur dioxide (SO2), which is produced by burning sulfur or pyrites, followed by reaction with oxygen (O2).2SO2(g) + O2(g) → 2SO3(g).
Finally, the overall formation equation for sulfuric acid can be written as:H2(l) + SO2(g) + (1/2)O2(g) → H2SO4(l) Therefore, the correct formation reaction equation for sulfuric acid is the option d) H2( g)+S(s)+O2( g)→H2SO4(l).
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A gas has an initial pressure of 10.0 atm, a volume of 25 liters, and a temperature of 208 K. The volume is then increased to 50 liters and the temperature is changed to 245 K. What is the new pressure of the the gas
The new pressure of the gas is determined as 5.89 atm.
What is the new pressure of the gas?The new pressure of the gas is calculated by applying the formula for general gas equation.
P₁V₁/T₁ = P₂V₂/T₂
P₂ = P₁V₁T₂/V₂T₁
Where;
P₁ is the initial pressure of the gasV₁ is the initial volume of the gasT₁ is the initial temperature of the gasV₂ is the final volume of the gasT₂ is the final temperature of the gasThe new pressure of the gas is calculated as;
P₂ = P₁V₁T₂/T₁V₂
P₂ = ( 10 x 25 x 245 ) / ( 208 x 50 )
P₂ = 5.89 atm
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What is the heat in kJ required to raise 1,853 g water from 24°C to 66°C? The specific heat capacity of water is 4.184 J/(g*°C). Round and report your answer to an integer without decimal place. On
Rounded to the nearest integer without decimal places, the heat required is approximately 337 kJ.
How to determine heat?To calculate the heat required to raise the temperature of water, use the formula:
Q = m × c × ΔT
where:
Q is the heat in joules,
m is the mass of the water in grams,
c is the specific heat capacity of water in J/(g*°C), and
ΔT is the change in temperature in °C.
Given:
m = 1,853 g
c = 4.184 J/(g*°C)
ΔT = 66°C - 24°C = 42°C
Plugging in the values:
Q = 1,853 g × 4.184 J/(g*°C) × 42°C
Calculating this expression:
Q ≈ 337,070 J
Converting J to kJ, we divide by 1,000:
Q ≈ 337.07 kJ
Rounded to the nearest integer without decimal places, the heat required is approximately 337 kJ.
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Complete question:
What is the heat in kJ required to raise 1,853 g water from 24°C to 66°C? The specific heat capacity of water is 4.184 J/(g*°C). Round and report your answer to an integer without decimal place. Only enter numeric value, no unit.
Give the conjugate acid for each of the following Brønsted-Lowry bases. a. CN −
b. O 2−
c. CH 3COO −
d. NH 3
The conjugate acid for each of the following Brønsted-Lowry bases is as follows:
a. CN⁻ conjugate acid is HCN
b. O²⁻ conjugate acid is OH⁻
c. CH₃COO⁻ conjugate acid is CH₃COOH
d. NH₃ conjugate acid is NH₄⁺
a. CN⁻ is a base because it can accept a proton (H⁺). To determine its conjugate acid, we add an H⁺ to the CN⁻ ion, resulting in HCN (hydrogen cyanide). This occurs because the CN⁻ ion can donate its lone pair of electrons to form a bond with H⁺.
b. O²⁻ is a base because it can accept a proton (H⁺). Adding an H⁺ to the O²⁻ ion gives us OH⁻ (hydroxide ion), which is its conjugate acid. This process occurs by accepting a proton from a donor species.
c. CH₃COO⁻ is a base because it can accept a proton (H⁺). The conjugate acid is formed by adding an H⁺ to the CH₃COO⁻ ion, resulting in CH₃COOH (acetic acid). This occurs through the acceptance of a proton from a donor species.
d. NH₃ is a base because it can accept a proton (H⁺). The conjugate acid is formed by adding an H⁺ to NH₃, resulting in NH₄⁺ (ammonium ion). This process involves the acceptance of a proton from a donor species.
In summary, the conjugate acids for the given Brønsted-Lowry bases are HCN, OH⁻, CH₃COOH, and NH₄⁺, for CN⁻, O²⁻, CH₃COO⁻, and NH₃, respectively. The formation of these conjugate acids involves the acceptance of protons from donor species, resulting in the transfer of a positive charge to the base species.
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A solution contains 34.0 g of sodium chloride dissolved in
sufficient water to give a total mass of 166.7 g. What is the
molality of this solution?
The molality of the solution is 4.38 mol/kg.
To determine the molality of the solution, we need to calculate the number of moles of solute (sodium chloride) and the mass of the solvent (water).
The given mass of sodium chloride is 34.0 g. To find the number of moles, we divide the mass by the molar mass of sodium chloride, which is 58.44 g/mol.
Number of moles of sodium chloride = 34.0 g / 58.44 g/mol = 0.582 mol
The mass of the solvent is the total mass of the solution minus the mass of the solute:
Mass of solvent = 166.7 g - 34.0 g = 132.7 g
Next, we convert the mass of the solvent from grams to kilograms:
Mass of solvent = 132.7 g / 1000 g/kg = 0.1327 kg
Now, we can calculate the molality using the formula:
Molality (m) = moles of solute / mass of solvent
Molality = 0.582 mol / 0.1327 kg = 4.38 mol/kg
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An atom has a diameter of 3.00 A
˚
and the nucleus of that atom has a diameter of 6.50×10 −5
A
^
. Determine the fraction of the volume of the atom that is taken up by the nucleus. Assume the atom and the nucleus are a sphere. fraction of atomic volume: Calculate the density of a proton, given that the mass of a proton is 1.0073amu and the diameter of a proton is 1.74×10 −15
m. density: g/cm 3
1. Fraction of atomic volume taken up by the nucleus: 1.49%
2. Density of a proton: 1.01 × 10^15 g/cm^3.
1. To calculate the fraction of the volume of the atom taken up by the nucleus, we need to compare the volumes of the nucleus and the entire atom.
The volume of a sphere can be calculated using the formula:
V = (4/3)πr^3
Given that the diameter of the atom is 3.00 Å, the radius (r) of the atom is half the diameter, so r = 1.50 Å.
The volume of the atom (V_atom) can be calculated as:
V_atom = (4/3)πr^3
Similarly, the diameter of the nucleus is 6.50 × 10^(-5) Å, so the radius (r_nucleus) of the nucleus is half the diameter, r_nucleus = 3.25 × 10^(-5) Å.
The volume of the nucleus (V_nucleus) can be calculated as:
V_nucleus = (4/3)πr_nucleus^3
The fraction of the volume of the atom taken up by the nucleus (fraction) can be calculated by dividing the volume of the nucleus by the volume of the atom and multiplying by 100 to express it as a percentage:
fraction = (V_nucleus / V_atom) × 100
Substituting the values, we have:
fraction = [(4/3)π(3.25 × 10^(-5) Å)^3] / [(4/3)π(1.50 Å)^3] × 100
The π and (4/3) terms cancel out, simplifying the equation to:
fraction = (3.25 × 10^(-5) Å)^3 / (1.50 Å)^3 × 100
Converting the values to scientific notation:
fraction = (3.25 × 10^(-5))^3 / (1.50)^3 × 100
Evaluating the calculation, we find:
fraction ≈ 0.0149 ≈ 1.49%
Therefore, the fraction of the volume of the atom taken up by the nucleus is approximately 1.49%.
2. To calculate the density of a proton, we need to divide its mass by its volume.
Given that the mass of a proton is 1.0073 amu (atomic mass units), we can convert it to grams using the conversion factor:
1 amu = 1.66054 × 10^(-24) g
Converting the mass of a proton to grams:
mass_proton = 1.0073 amu × (1.66054 × 10^(-24) g/amu) ≈ 1.6749 × 10^(-24) g
Given that the diameter of a proton is 1.74 × 10^(-15) m, we can calculate its radius (r_proton) by dividing the diameter by 2:
r_proton = 1.74 × 10^(-15) m / 2 ≈ 8.7 × 10^(-16) m
The volume of a sphere (V_proton) can be calculated as:
V_proton = (4/3)πr_proton^3
Substituting the values, we have:
V_proton = (4/3)π(8.7 × 10^(-16) m)^3
V_proton = 1.599 × 10^(-39) cm^3
Finally, we can calculate the density of the proton using the formula density = mass/volume.
Density of the proton:
Density = (1.0073 amu) / (1.599 × 10^(-39) cm^3)
To convert the mass from amu to grams, we need to use the conversion factor 1 amu = 1.66054 × 10^(-24) g.
Density of the proton:
Density = (1.0073 amu) / (1.599 × 10^(-39) cm^3) × (1.66054 × 10^(-24) g/amu) ≈ 1.01 × 10^15 g/cm^3
Therefore, the density of a proton is approximately 1.01 × 10^15 g/cm^3.
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Determine the acetic acid concentration in a solution with [CH3CO₂] -0.25 M and (OH) = 2.0 x 106 M at equilibrium. The reaction equation is: CH3CO₂ (aq) + H₂O (CH3CO₂H (aq) + OH (aq) (Acetic acid Ka = 1.8 x 108) 1.35 3.25 1.75 2.25
The concentration of acetic acid in the solution is [tex]1.78 x 10^-11[/tex] M and the pH of the solution is 10.75.
The equilibrium reaction for acetic acid is given by the equation: CH3CO₂ (aq) + H₂O (CH3CO₂H (aq) + OH (aq) (Acetic acid Ka = 1.8 x 108)At equilibrium:
[CH3CO₂H] = [OH-]The concentrations of CH3CO₂ and OH- at equilibrium are given as follows:
[CH3CO₂-] = 0.25 M, [OH-]
= [tex]2.0 x 10-6[/tex] M By substituting these values into the expression for the ionization constant (Ka) for acetic acid, the value for [H3O+] can be calculated as follows:
Ka = [tex][CH3CO₂H][OH-] / [CH3CO₂-]1.8 x 10^(-5)[/tex]
= x² / 0.25 x
= [H3O+]
= [CH3CO₂H] [OH-]
[tex]= 1.78 x 10^-11[/tex] M The concentration of acetic acid in the solution can be determined using the expression for the acid dissociation constant as follows: pKa = -log(Ka)
= -log([H3O+][CH3COO-] / [CH3COOH])
= 4.74pH
= -log[H3O+]
= 10.75Therefore, the concentration of acetic acid in the solution is [tex]1.78 x 10^-11[/tex] M and the pH of the solution is 10.75.
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Determination of the purity of acetylsalicylic acid in each commercial tablet. The aspirin tablet was not hydrolysed using sodium hydroxide in this experiment, any salicylic acid detected would be present in the tablet. Using the absorbance value determined for the solution in part C, the lab manual which showed the procedure to determine absorbance, calculate the amount of salicylic acid (not aspirin) present in the tablet, and therefore the purity of the tablet. Show your calculation below. Determination of the concentration of acetylsalicylic acid in each commercial tablet. 1. Using your data, calculate the amount of acetylsalicylic acid per tablet from the calibration curve. Get the other data needed to fill in the table from the appropriate aspirin bottle. Results Record your results on the \% transmittance and the calculated absorbance for the 5 standard Concentrations in the table below. Calculate the amount of aspirin in the standard solution. using this value, calculate the concentration (in mg/mL ) of acetylsalicylic acid for each of the standard Solutions A, B, C, D and E. * The readings for \%T are more precise than the readings for the absorbance. Therefore the absorbance should be calculated rather than be read off the instrument. C. Analysis of the purity of a commercial aspirin tablet To make detection of hydrolysed acetylsalicylic acid easier in the commercial product, a much more concentrated solution of aspirin is used. 1. To a 250 mL volumetric flask add a single tablet of product 1 and fill to the mark with distilled water. 2. Using a 10 mL graduated pipette, transfer 5 mL of this solution to a 15ml test tube. Dilute to the 10 mL mark with buffered 0.02M iron(III) chloride solution and label appropriately. 3. Measure and record the \% transmittance of this solution with a UV spectrophotometer set at 530 nm. Use a cuvette filled with a 1:1 dilution of iron (III) chloride solution for the blank. 4. Calculate the amount of hydrolysed acetylsalicylic acid in the acetylsalicylic acid tablet using your graph and enter your results into the results section.
Calculate the amount of hydrolyzed acetylsalicylic acid in the acetylsalicylic acid tablet using your graph, and enter the results into the designated results section.
To determine the purity of acetylsalicylic acid in each commercial tablet, the experiment does not involve hydrolyzing the aspirin tablet using sodium hydroxide. Any salicylic acid detected would indicate its presence in the tablet.
To calculate the amount of salicylic acid present in the tablet and hence its purity, we can use the absorbance value obtained in part C, as outlined in the lab manual.
For the determination of the concentration of acetylsalicylic acid in each tablet:
1. Use the calibration curve to calculate the amount of acetylsalicylic acid per tablet. Obtain the necessary data from the appropriate aspirin bottle to fill in the table.
2. Record the results of % transmittance and calculated absorbance for the 5 standard concentrations in the table.
3. Calculate the amount of aspirin in the standard solution. Using this value, determine the concentration (in mg/mL) of acetylsalicylic acid for each of the standard solutions A, B, C, D, and E.
Regarding the analysis of the purity of a commercial aspirin tablet:
1. Add a single tablet of product 1 to a 250 mL volumetric flask and fill it to the mark with distilled water.
2. Transfer 5 mL of this solution to a 15 mL test tube using a 10 mL graduated pipette. Dilute it to the 10 mL mark with buffered 0.02M iron(III) chloride solution and label accordingly.
3. Measure and record the % transmittance of this solution using a UV spectrophotometer set at 530 nm. Use a cuvette filled with a 1:1 dilution of iron(III) chloride solution for the blank.
4. Calculate the amount of hydrolyzed acetylsalicylic acid in the acetylsalicylic acid tablet using your graph, and enter the results into the designated results section.
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16 Question (5 points) V 1st attempt What is the molar mass of a gas with a density of 2.875 g/L at 760.0 mmHg and 11.00°C? g/mol l See Pe
The molar mass of the gas is approximately 48.6 g/mol.
To determine the molar mass of the gas, we need to use the ideal gas law, which states that 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. Rearranging the equation, we have n = PV / RT.
First, we convert the given density from grams per liter (g/L) to grams per cubic meter (g/m³) by dividing by 1000. The density becomes 2.875 g/m³.
Density conversion: 2.875 g/L ÷ 1000 = 0.002875 g/cm³
Pressure conversion: 760.0 mmHg ÷ 760.0 mmHg/atm = 1.0 atm
Temperature conversion: 11.00°C + 273.15 = 284.15 K
Number of moles calculation: (1.0 atm) × (1.0 cm³) / (0.0821 atm·cm³/(mol·K) × 284.15 K) = 0.0414 mol
Molar mass calculation: 0.002875 g/cm³ / 0.0414 mol ≈ 48.6 g/mol
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Calculate the plf for each case in the titration of 50.0 mL of 0.200MHClO(aq) with 0.200MKOH(aq). Use the ionization constant for 1ClO. What is the pH after addition of 30.0 mLKOH ? pH= What is the pH after addition of 50.0 mLKOH ? What is the pH after addition of 60.0 mLKOH ?
After adding 30.0 mL of KOH to HClO, the pH is 1.60. After adding 50.0 mL, the pH is 7.00, and after adding 60.0 mL, the pH is 12.30. The pH increases as more KOH is added.
We have added 30.0 mL of 0.200 M KOH to 50.0 mL of 0.200 M HClO. This means that we have added 0.060 moles of KOH to 0.100 moles of HClO. The excess base will react with the remaining acid, and the pH will be determined by the concentration of the remaining acid.
The concentration of the remaining acid can be calculated using the following equation:
[HClO] = (0.100 - 0.060) moles / 0.800 L = 0.025 M
The pH of the solution can then be calculated using the following equation:
pH = -log[HClO] = -log(0.025) = 1.60
pH after addition of 50.0 mL KOH
We have added 50.0 mL of 0.200 M KOH to 50.0 mL of 0.200 M HClO. This means that we have added 0.100 moles of KOH to 0.100 moles of HClO. The acid and base have completely neutralized each other, and the pH of the solution will be 7.00.
pH after addition of 60.0 mL KOH
We have added 60.0 mL of 0.200 M KOH to 50.0 mL of 0.200 M HClO. This means that we have added 0.120 moles of KOH to 0.100 moles of HClO. The excess base will cause the pH of the solution to be above 7.00.
The concentration of the excess base can be calculated using the following equation:
[KOH] = (0.120 - 0.100) moles / 1.100 L = 0.020 M
The pH of the solution can then be calculated using the following equation:
pH = 14 - pOH
pOH = -log[KOH] = -log(0.020) = 1.70
pH = 14 - 1.70 = 12.30
Therefore, the pH after the addition of 30.0 mL KOH is 1.60, the pH after the addition of 50.0 mL KOH is 7.00, and the pH after the addition of 60.0 mL KOH is 12.30.
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The following data were obtained for the reduction of nitric oxide with hydrogen: 2H2( g)+2NO(g)→N2( g)+2H2O(g) Determine the rate law of the reaction.
The following data were obtained for the reduction of nitric oxide with hydrogen: 2H2( g)+2NO(g)→N2( g)+2H2O(g). The rate of reaction varies with the concentrations of reactants and products. Therefore, we can write the rate law for the given reaction as;Rate = k[H2]m[NO]n, where k is the rate constant, and m and n are the orders of the reaction with respect to H2 and NO, respectively.
To determine the orders of the reaction with respect to H2 and NO, we use the given data.We have;Experiment [H2] (M) [NO] (M) Initial Rate of NO (M/s)1 0.10 0.10 3.2 × 10-62 0.20 0.10 6.4 × 10-63 0.10 0.20 6.4 × 10-64 0.30 0.10 9.6 × 10-65 0.10 0.30 1.9 × 10-5To determine the orders of the reaction with respect to H2 and NO, we can use the following table;Experiment [H2] (M) [NO] (M) Initial Rate of NO (M/s)1 0.10 0.10 3.2 × 10-62 0.20 0.10 6.4 × 10-63 0.10 0.20 6.4 × 10-64 0.30 0.10 9.6 × 10-65 0.10 0.30 1.9 × 10-5From the table above, we can find that;when [H2] = 0.10 M and [NO]
= 0.10 M, Rate
= k(0.10)m(0.10)nwhen [H2]
= 0.20 M and [NO]
= 0.10 M, Rate
= k(0.20)m(0.10)nwhen [H2]
= 0.10 M and [NO] = 0.20 M, Rate
= k(0.10)m(0.20)nwhen [H2]
= 0.30 M and [NO]
= 0.10 M, Rate
= k(0.30)m(0.10)nwhen [H2]
= 0.10 M and [NO]
= 0.30 M, Rate
= k(0.10)m(0.30)nUsing these values, we can form ratio equations as follows;$$\dfrac{Rate_1}{Rate_2}
= \dfrac{k(0.10)^m(0.10)^n}{k(0.20)^m(0.10)^n}$$$$\dfrac{Rate_1}{Rate_2}
= \dfrac{(0.10)^m}{(0.20)^m}$$$$\dfrac{Rate_1}{Rate_2}
= \dfrac{1}{2^m}$$Similarly,$$\dfrac{Rate_1}{Rate_3}
= \dfrac{1}{2^n}$$$$\dfrac{Rate_1}{Rate_4}
= 3^m$$$$\dfrac{Rate_1}{Rate_5}
= 1/2^n$$
From the above equations,$$\dfrac{Rate_1}{Rate_2} = \dfrac{1}{2^m}$$Therefore,$$\dfrac{(3.2 × 10^{-6})}{(6.4 × 10^{-6})}
= \dfrac{1}{2^m}$$$$2^m
= 2$$$$m
= 1$$Similarly,$$\dfrac{Rate_1}{Rate_3}
= \dfrac{1}{2^n}$$$$\dfrac{(3.2 × 10^{-6})}{(6.4 × 10^{-6})}
= \dfrac{1}{2^n}$$$$2^n
= 2$$$$n
= 1$$Therefore, the rate law of the given reaction is;Rate
= k[H2][NO]. Thus, the rate law of the given reaction is; Rate
= k[H2][NO].
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2. The - \( \mathrm{CF}_{3} \) group's inductive effects are far greater than its hyperconjugation's effect. Bearing that in mind, please draw the product of the molecule in figure 3 undergoing a Birc
The product of the molecule in figure 3 undergoing a Birc is cis-4-pent-2-ene.
The Birc reaction is a way to convert an alkyne into a cis alkene. It involves the use of a catalyst called Lindlar's catalyst. Lindlar's catalyst is a combination of palladium and calcium carbonate that has been treated with lead acetate and quinoline to make it less reactive.
The reaction is performed in the presence of hydrogen gas, which helps to reduce the palladium and make it more effective.
The inductive effects of the [tex]-CF3[/tex]group are far greater than its hyperconjugation effects. Bearing that in mind, let's draw the product of the molecule in figure 3 undergoing a Birc.
As we can see in the given structure, there is an alkyne present in the molecule, and we have to convert it into a cis-alkene. Therefore, we will use the Birc reaction to convert the alkyne into a cis-alkene.
The mechanism of the Birc reaction includes the use of Lindlar's catalyst (Pd/CaCO3) in the presence of H2 gas. The alkyne is added to this mixture to obtain the desired cis-alkene as the final product. The reaction is shown below:
Reaction equation:
Thus, we get the following product after the Birc reaction:
[tex][Structure of cis-4-(trifluoromethyl)pent-2-ene][/tex]
Therefore, the product of the molecule in figure 3 undergoing a Birc is [tex]cis-4-(trifluoromethyl)pent-2-ene.[/tex]
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What is the mass in grams of \( \mathrm{CO}_{2} \) that can be produced from the combustion of \( 5.39 \) moles of butane according to this equation: \[ 2 \mathrm{C}_{4} \mathrm{H}_{10}(\mathrm{~g})+1
The mass of CO₂ that can be produced from the combustion of 5.39 moles of butane is approximately 950 grams.
To find the mass of CO₂ produced from the combustion of 5.39 moles of butane, we need to use the stoichiometry of the balanced equation.
From the balanced equation, we can see that 2 moles of butane (C₄H₁₀) react to produce 8 moles of CO₂. Therefore, the molar ratio of butane to CO₂ is 2:8.
First, calculate the moles of CO₂ produced:
5.39 moles of butane × (8 moles of CO₂ / 2 moles of butane) = 21.56 moles of CO₂
Next, convert moles of CO₂ to grams using the molar mass of CO₂:
Molar mass of CO₂ = 12.01 g/mol (atomic mass of carbon) + 2 * 16.00 g/mol (atomic mass of oxygen) = 44.01 g/mol
Mass of CO₂ = 21.56 moles of CO₂ × 44.01 g/mol = 949.7956 g ≈ 950 g
Therefore, the mass of CO₂ that can be produced from the combustion of 5.39 moles of butane is approximately 950 grams.
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Match the following aqueous solutions with the appropriate letter from the column on the right. 1. 0.18 m CuSO4
2. 0.11 m (NH4)2SO4
3. 0.13 m Fe(NO3)2
4. 0.30 m Sucrose(nonelectrolyte)
A. Lowest freezing point B. Second lowest freezing point C. Third lowest freezing point D. Highest freezing point
The appropriate matches are:
0.18 m CuSO₄ - C. Third lowest freezing point
0.11 m (NH₄)₂SO₄ - B. Second lowest freezing point
0.13 m Fe(NO₃)₂ - A. Lowest freezing point
0.30 m Sucrose (nonelectrolyte) - D. Highest freezing point
To determine the appropriate matching letter for each aqueous solution based on their freezing points, we need to consider the colligative property of freezing point depression. The greater the concentration of solute particles in a solution, the lower its freezing point.
Based on this information, we can match the solutions as follows:
0.18 m CuSO₄: C. Third lowest freezing point (CuSO₄ dissociates into Cu²⁺ and SO₄²⁻ ions in water, increasing the number of solute particles)
0.11 m (NH₄)₂SO₄ : B. Second lowest freezing point (NH₄)₂SO₄ dissociates into NH⁴⁺ and SO₄²⁻ ions in water, increasing the number of solute particles)
0.13 m Fe(NO₃)₂: A. Lowest freezing point Fe(NO₃)₂ dissociates into Fe²⁺ and 2NO³⁻ ions in water, increasing the number of solute particles)
0.30 m Sucrose (nonelectrolyte): D. Highest freezing point (Sucrose does not dissociate into ions in water and does not increase the number of solute particles significantly)
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What is meant by rotation of polarized
light ?
Enantiomers have the same physical properties EXCEPT for rotation of polarized light
Polarized light is the light that oscillates in a single plane instead of multiple planes. When the polarization of the light wave rotates around its axis, it is called rotation of polarized light.
What is polarized light?Polarized light is light that vibrates in one plane only. Polarization refers to the phenomenon of light waves oscillating in only one direction. Unpolarized light waves oscillate in all directions perpendicular to their path. Light polarizing filters are used to selectively block unpolarized light waves in a certain direction, thus polarizing the light.
What is rotation of polarized light?When the plane of polarization of light waves oscillates around its axis, it is referred to as the rotation of polarized light. Substances that rotate polarized light are referred to as optically active substances.
When a polarimeter is used to measure the angle of rotation, the amount of rotation is determined.According to this question, enantiomers have the same physical properties except for the rotation of polarized light.
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What is ΔS surr
for a reaction at 28.8 ∘
C with ΔH sys
=28.6 kJ mol −1
? Express your answer in Jmol −1
K −1
to at least two significant figures.
The ΔS surr for the given reaction is approximately -94.8 J/mol·K. The negative sign indicates that the reaction causes a decrease in entropy in the surroundings, as it is an exothermic process (negative ΔH sys).
To calculate ΔS surr (the change in entropy of the surroundings), we can use the equation:
ΔS surr = -ΔH sys / T
where ΔH sys is the change in enthalpy of the system and
T is the temperature in Kelvin.
ΔH sys = 28.6 kJ/mol
T = 28.8°C = 28.8 + 273.15 = 301.95 K
Substituting the values into the equation:
ΔS surr = -(28.6 kJ/mol) / (301.95 K)
To convert kJ to J and mol to J/mol, we multiply by 1000:
ΔS surr = -(28.6 kJ/mol) / (301.95 K) × (1000 J/kJ) × (1 mol/1000 J)
Calculating the value:
ΔS surr ≈ -94.8 J/mol·K
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While cleaning a lab, a student misplaces the label on another student’s unknown salt mixture beaker containing two salts. Here are the tests he conducted to determine the identity of the mixture:
Added 1mL of 1M HCl - mixture forms bubbles but otherwise clear/colorless
Added 1mL of 1M H2SO4 - mixture forms bubbles but otherwise clear/colorless
Added 1mL of 1M NH3 - mixture forms cloudy white ppt.
Added 1mL of BaCl2 - mixture forms cloudy white ppt.
Added 1mL of AgNO3 - mixture forms cloudy white ppt.
From the list provided, which two salts can the student identify as the unknown OR which tests should he conduct further to identify?
CaCl2, CaCO3, CaSO4, CuSO4, KMnO4, MgCl2, MgCO3, MgSO4, NaCl, Na2CO3, NaHCO3, Nal, Na2SO4, NH4Cl
After relabeling, the student places the salt mixture in a new beaker which already contained one more unknown salt. What tests should the student run to determine the third salt of the mixture? (Will also be one from the list above.)
The two salts that the student can identify are CaSO4 and Na2SO4.
The third salt present in the mixture can be determined by performing these tests:
Add a few drops of AgNO3. The formation of a white-colored precipitate will confirm the presence of[tex]Cl-[/tex] ions.
Add a few drops of BaCl2. The formation of a white-colored precipitate will confirm the presence of [tex]SO4-[/tex] ions.
Add a few drops of KMnO4. It will turn pink, which will confirm the presence of oxalate ions.
Conclusion:
The tests that he needs to perform for the further identification of the salt mixture are as follows: Adding a few drops of AgNO3, BaCl2, and KMnO4 to determine the third salt present in the mixture. The two salts that the student can identify are CaSO4 and Na2SO4.
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Consider a uniport system where a carrier protein transports an uncharged substance A across a cell membrane. Suppose that at a certain ratio of [A]inside to [A]outside , the ΔG for the transport of substance A from outside the cell to the inside, Aoutside →Ainside , is −11.5 kJ/mol at 25∘C. What is the ratio of the concentration of substance A inside the cell to the concentration outside? [A]outside [A]inside =
The ratio of concentration is approximately 87.91.
For determining the ratio of the concentration of substance A inside the cell to the concentration outside, we can use the relationship between ΔG (change in Gibbs free energy), the equilibrium constant (K), and the gas constant (R) as follows:
ΔG = -RT * ln(K)
Where:
ΔG = -11.5 kJ/mol (given)
R = 8.314 J/(mol·K) (gas constant)
T = 25 °C = 298 K (temperature in Kelvin)
Let's calculate the equilibrium constant (K) first. Rearranging the equation above, we have:
ln(K) = -ΔG / (RT)
ln(K) = -(-11.5 kJ/mol) / (8.314 J/(mol·K) * 298 K)
ln(K) ≈ 4.47
Now, we can calculate K by taking the exponential of both sides:
K = e^(ln(K)) ≈ e^4.47 ≈ 87.91
The equilibrium constant (K) represents the ratio of the concentration of substance A inside the cell to the concentration outside. Therefore:
[A]outside / [A]inside = K
Substituting the value of K we calculated:
[A]outside / [A]inside ≈ 87.91
So, the ratio of the concentration of substance A inside the cell to the concentration outside is approximately 87.91.
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22. Show the products and give reaction mechanisms for the following, using curved arrows to indicate the flow of electrons between intermediates. Soponification...
Saponification is a chemical reaction that involves the hydrolysis of an ester in the presence of a strong base, resulting in the formation of an alcohol and a carboxylate ion.
The reaction mechanism of saponification involves the nucleophilic attack of the hydroxide ion (OH⁻) on the ester functional group, followed by the formation of a tetrahedral intermediate.
Step 1: The hydroxide ion (OH⁻) acts as a nucleophile and attacks the carbonyl carbon of the ester, resulting in the formation of a tetrahedral intermediate. This step is called the nucleophilic addition.
Step 2: The tetrahedral intermediate undergoes a proton transfer, where one of the oxygen atoms donates a proton to the hydroxide ion. This results in the formation of an alkoxide ion and an alcohol.
Step 3: The alkoxide ion (R-O⁻) is unstable and reacts with water molecules present in the reaction mixture through a hydrolysis reaction. This results in the formation of a carboxylate ion (RCO₂⁻) and an alcohol.
The overall reaction can be represented as follows:
Ester + Base (e.g., OH⁻) → Carboxylate Ion + Alcohol
The saponification reaction is widely used in the production of soaps, where triglycerides (fats and oils) are hydrolyzed by sodium hydroxide or potassium hydroxide, resulting in the formation of glycerol and fatty acid salts (carboxylate ions), which are the main components of soap molecules.
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- Calculate the pH after the addition of 35.0 mL of 0.100MNaOH to 25.0 mL of 0.100MHCl.
The pH of the solution after the addition of 35.0 mL of 0.100M NaOH to 25.0 mL of 0.100M HCl is 12.22.
When a strong acid and a strong base are combined, they react to produce water and a salt. The resultant solution will be neutral. A strong acid is one that completely ionizes or dissociates to generate H+ ions when it dissolves in water. Strong bases completely ionize or dissociate to generate OH- ions when dissolved in water. The pH scale is used to measure the acidity or basicity of a solution, and it ranges from 0 to 14. pH 7 is considered neutral, while pH < 7 is acidic and pH > 7 is basic. The pH of a solution may be calculated using the concentration of H+ ions present in the solution. To calculate the pH after the addition of 35.0 mL of 0.100M NaOH to 25.0 mL of 0.100M HCl, we will use the following formula: NaOH + HCl → NaCl + H2OTo begin, we need to calculate the number of moles of each solution present:Moles of NaOH = (0.100 mol/L) × (0.035 L)
= 0.0035 molesMoles of HCl
= (0.100 mol/L) × (0.025 L)
= 0.0025 moles.
Since NaOH and HCl react in a 1:1 ratio, 0.0025 moles of HCl will be consumed by 0.0025 moles of NaOH, leaving 0.0010 moles of NaOH in solution. The concentration of NaOH in solution will now be (0.0010 moles)/(0.060 L) = 0.0167 M (since the total volume of the solution is now 60 mL).To determine the concentration of OH- ions in the solution, we multiply the concentration of NaOH by the number of OH- ions per molecule:0.0167 M × 1 OH-/1 NaOH = 0.0167 M OH-Now we can calculate the pOH of the solution: pOH = -log(0.0167)
= 1.78Finally, we can calculate the pH of the solution: pH
= 14 - pOH
= 14 - 1.78
= 12.22 Therefore, the pH of the solution after the addition of 35.0 mL of 0.100M NaOH to 25.0 mL of 0.100M HCl is 12.22.
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