Part A: Given 7.10 g of butanoic acid and excess ethanol, how many grams of ethyl butyrate would be synthesized, assuming a complete 100% yield?

Answers

Answer 1

Assuming a complete 100% yield, approximately 7.78 grams of ethyl butyrate would be synthesized from 7.10 grams of butanoic acid and excess ethanol.

To calculate the amount of ethyl butyrate synthesized, we need to consider the stoichiometry of the reaction between butanoic acid and ethanol. The balanced equation for the reaction is:

Butanoic acid + Ethanol → Ethyl butyrate + Water

The molar ratio between butanoic acid and ethyl butyrate is 1:1, which means that for every mole of butanoic acid, we obtain one mole of ethyl butyrate.

First, we need to convert the mass of butanoic acid (given as 7.10 g) to moles. The molar mass of butanoic acid (C₄H₈O₂) is calculated as follows:

Molar mass of C₄H₈O₂ = (4 × 12.01 g/mol) + (8 × 1.01 g/mol) + (2 × 16.00 g/mol) = 88.11 g/mol

Moles of butanoic acid = 7.10 g / 88.11 g/mol ≈ 0.0805 moles

Since the reaction is assumed to have a 100% yield, the moles of ethyl butyrate synthesized would be equal to the moles of butanoic acid used.

Now, we can calculate the mass of ethyl butyrate using its molar mass. The molar mass of ethyl butyrate (C₆H₁₂O₂) is:

Molar mass of C₆H₁₂O₂ = (6 × 12.01 g/mol) + (12 × 1.01 g/mol) + (2 × 16.00 g/mol) = 116.16 g/mol

Mass of ethyl butyrate = Moles of ethyl butyrate × Molar mass of C₆H₁₂O₂

                       = 0.0805 moles × 116.16 g/mol ≈ 9.39 grams

Therefore, assuming a complete 100% yield, approximately 7.78 grams of ethyl butyrate would be synthesized from 7.10 grams of butanoic acid and excess ethanol.

To know more about butanoic acid refer here:

https://brainly.com/question/32892962#

#SPJ11


Related Questions

If 8.2mol of hydrogen is produced, how many moles of hydrofluoric acid (HF) reacted? (Round to the nearest tenth)[tex]Si + 4HF -\ \textgreater \ 2H2 + SiF4[/tex]

Answers

Answer:

18.53

Explanation:

just finished and passed

Benzaldehyde is similar to aliphatic aldehydes except that benzaldehyde

Answers

Answer:

Benzaldehyde is similar to aliphatic aldehydes except that benzaldehyde has a benzene ring attached to the carbonyl group, while aliphatic aldehydes have a straight or branched carbon chain attached to the carbonyl group. This structural difference gives benzaldehyde unique chemical and physical properties that distinguish it from aliphatic aldehydes. For example, benzaldehyde has a characteristic almond-like odor due to the presence of the benzene ring, while aliphatic aldehydes have a pungent odor. Additionally, benzaldehyde is less soluble in water than aliphatic aldehydes due to the nonpolar nature of the benzene ring.

5. describe a difference between observations of testing phosphate ion in whole milk and skim milk. determine if there is a difference in the amount of phosphorous between whole and skim milk. explain.

Answers

We would anticipate finding a higher concentration of calcium in whole milk than in skim milk. Whole milk and skim milk phosphate ion testing observations would not significantly differ from one other. There can be a little, but insignificant, difference in phosphorus content between whole and skim milk and dairy milk.

Testing for calcium ions in whole milk and skim milk yields different results: You would anticipate finding a higher concentration of calcium in whole milk than in skim milk. Higher fat content in whole milk includes fat-soluble vitamins like vitamin D. Calcium from the food is more easily absorbed when vitamin D is present. As a result, vitamin D has been added to whole milk, which helps the body absorb and retain calcium. As a result, whole milk often contains more calcium than skim milk.

Difference between whole milk and skim milk phosphate ion testing observations: Whole milk and skim milk phosphate ion testing observations would not significantly differ from one another. Since phosphate ions are a naturally occurring component of milk and are necessary for a number of biological functions, they can be found in both whole milk and skim milk. When milk is processed to create skim milk, the fat content is removed while the majority of the other ingredients, including phosphorus, are kept. As a result, there wouldn't be much of a difference in the concentration of phosphate ions between whole milk and skim milk.

Difference in phosphorus content between whole and skim milk: There can be a little, but insignificant, difference in phosphorus content between whole and skim milk. The quantity of phosphorus, an important mineral contained in milk, remains largely constant throughout all varieties of milk. Due to the removal of the fat part, skim milk, which has had its fat content reduced, may have a somewhat lower concentration of phosphorus than whole milk. This change, however small, is unlikely to have a substantial effect on the dairy milk's overall phosphorus level.

To know more about dairy milk's:

https://brainly.com/question/30721473

#SPJ4

--The question is incomplete, the complete question is:

"Describe a difference between observations of testing calcium ion in whole milk and skim milk. Determine if there is a difference in the amount of calcium between whole and skim milk. Explain. 5. Describe a difference between observations of testing phosphate ion in whole milk and skim milk. Determine if there is a difference in the amount of phosphorus between whole and skim milk. Explain."--

The analysis of a chemical used in photographic developing fluid indicates a chemical composition of 65.45% C, 5.45% H, and 29.09% O. The molar mass is found to be 110.0 g/mol. Determine the molecular formula. [Atomic masses: H = 1, C = 12, O=16]. O A. C6H₂O₂ B. C6H4O2 O C. C4H601 O D. C6H6O1 O E. C4H6Oz

Answers

The molecular formula: C3H3O x 2= C6H6O. The correct option is D.

The empirical formula of a substance represents the simplest whole-number ratio of the different atoms that exist in one molecule of the compound. The molecular formula, on the other hand, gives the exact number of different atoms present in a single molecule of the substance. The given chemical has 65.45% of Carbon, 5.45% Hydrogen, and 29.09% Oxygen in its chemical composition. Molecular mass of chemical= 110 g/mol Therefore, we can assume the following proportions for the chemical: Carbon = 65.45 / 12

= 5.45416Hydrogen

= 5.45 / 1

= 5.45Oxygen

= 29.09 / 16

= 1.81806 To convert these proportions to their simple whole-number ratios, we can divide them all by the smallest proportion, which is 1.81806 (that for Oxygen) Carbon

= 5.45416 / 1.81806

= 3Hydrogen

= 5.45 / 1.81806

= 3Oxygen

= 1.81806 / 1.81806

= 1.

Thus, the empirical formula for the given chemical is C3H3O.Substituting the respective atomic masses: H = 3 x 1
= 3C

= 3 x 12

= 36O

= 1 x 16

= 16 Total molecular weight of empirical formula

= 55 g/mol Since we are looking for the molecular formula, we need to find a factor that when multiplied by the empirical formula will give the molecular formula's molecular weight. The required factor is: Molecular weight of the chemical / Molecular weight of empirical formula= 110 / 55

= 2 Thus, multiplying the empirical formula by this factor, we get the molecular formula: C3H3O x 2

= C6H6O.The correct answer is option D. C6H6O1.

To know more about molecular formula visit:-

https://brainly.com/question/28647690

#SPJ11

A specific francium-216 isotope, on it's way down to lead-208 gave off two alpha particles and one, Ques Not y Points Fla

Answers

Francium-216 undergoes alpha decay and emits two alpha particles and one gamma particle to become lead-208. Francium-216 isotope is a radioactive isotope with a half-life of 8.3 milliseconds.

When it undergoes radioactive decay, it emits two alpha particles and one gamma particle to become lead-208. The equation representing this radioactive decay is as follows:Fr-216 → Pb-208 + 2α + γThe emission of alpha and gamma particles decreases the atomic mass and atomic number of the Francium-216 isotope. The alpha particles emitted have a mass of 4 and charge of +2, while the gamma particle has no mass and no charge.

In nuclear physics, radioactive decay is a random process. A radioactive material will decay and give off energy when its nucleus is unstable. The unstable nucleus changes into a more stable nucleus by emitting alpha, beta, and gamma particles. The energy released during radioactive decay can be in the form of gamma rays, beta particles, or alpha particles. In this case, Francium-216 undergoes alpha decay and emits two alpha particles and one gamma particle to become lead-208.

To know more about Francium-216  visit:-

https://brainly.com/question/20383823

#SPJ11

Consider an ionic compound, MX 2

, composed of generic metal M and generic, gaseous halogen X. - The enthalpy of formation of MX 2

is ΔH f

=−875 kJ/mol. - The enthalpy of sublimation of M is ΔH sub ​
=107 kJ/mol. - The first and second ionization energies of M are IE 1

=605 kJ/mol and IE 2

=1411 kJ/mol. - The electron affinity of X is ΔH EA

=−303 kJ/mol. (Refer to the hint.) - The bond energy of X 2

is BE=171 kJ/mol. Determine the lattice energy of MX 2

.

Answers

The lattice energy of MX₂ is ΔHₗₐₜ = -2524 kJ/mol.

The Born-Haber cycle relates the lattice energy to various enthalpy changes involved in the formation of an ionic compound. The lattice energy (ΔH_lattice) can be calculated using the following equation:

Δ[tex]H_{lattice}[/tex] = Δ[tex]H_f[/tex]- Δ[tex]H_{sub}[/tex] - IE1 - IE2 - Δ[tex]H_{EA}[/tex] + BE

Given the following values:

Δ[tex]H_f[/tex]= -875 kJ/mol (enthalpy of formation of MX2)

Δ[tex]H_{sub}[/tex] = 107 kJ/mol (enthalpy of sublimation of M)

IE1 = 605 kJ/mol (first ionization energy of M)

IE2 = 1411 kJ/mol (second ionization energy of M)

Δ[tex]H_{EA}[/tex] = -303 kJ/mol (electron affinity of X)

BE = 171 kJ/mol (bond energy of X2)

Substituting the values into the equation, we have:

Δ[tex]H_{lattice}[/tex] = -875 kJ/mol - 107 kJ/mol - 605 kJ/mol - 1411 kJ/mol - (-303 kJ/mol) + 171 kJ/mol

Simplifying the expression:

Δ[tex]H_{lattice}[/tex] = -875 kJ/mol - 107 kJ/mol - 605 kJ/mol - 1411 kJ/mol + 303 kJ/mol + 171 kJ/mol

Δ[tex]H_{lattice}[/tex] = -2514 kJ/mol

Therefore, the lattice energy of MX2 is -2514 kJ/mol.

Learn more about lattice energy, here:

https://brainly.com/question/29735933

#SPJ4

The major product which results when 2-chloro-2-methylpentane is
heated in ethanol is an ether. Show and name the mechanism by which
this ether forms.

Answers

The major product formed when 2-chloro-2-methylpentane is heated in ethanol is an ether, specifically ethoxypropane (2-methoxy-2-methylpentane).

The mechanism by which this ether forms is known as an elimination reaction, specifically an E2 (bimolecular elimination) mechanism. Here is a step-by-step explanation of the mechanism:

1. In the presence of heat, the strong base ethanol (CH₃CH₂O⁻) abstracts a proton (H⁺) from the beta carbon adjacent to the chlorine atom in 2-chloro-2-methylpentane.

2. The resulting carbanion (CH₃CH₂CH(CH₃)CH₂⁻) undergoes a concerted elimination reaction, where the C-Cl bond breaks and a new C-C double bond forms. Simultaneously, the leaving group (chloride ion) leaves.

3. The intermediate formed is an alkene (2-methylpent-2-ene), which is then attacked by ethanol, acting as a nucleophile, to form the ether product (2-methoxy-2-methylpentane or ethoxypropane).

This E2 mechanism proceeds via a one-step concerted process, where both the proton abstraction and bond formation occur simultaneously

learn more about elimination reaction here:

https://brainly.com/question/29695970

#SPJ11

A proton hydrated by eight water molecules has the formula Express your answer as a chemical formula. ? A chemical reaction does not occur for this question.

Answers

Proton hydrated by eight water molecules has the formula: H₉O₄+.A proton hydrated by eight water molecules has the formula expressed as H₉O₄+.

The proton is a positively charged particle that occurs within the nucleus of an atom. An atom of hydrogen contains one proton. A hydrated proton is a proton that is surrounded by water molecules or attached to water molecules.As we know, a water molecule has two hydrogen atoms and one oxygen atom. So, we can say that H₉O₄+ is made up of one proton and eight water molecules.

Therefore, the chemical formula for a proton hydrated by eight water molecules is H₉O₄+.The formula H₉O₄+ represents a hydronium ion. A hydronium ion is a positively charged ion that consists of a water molecule bonded to a proton. It is an intermediate in many acid-base reactions, and it plays a vital role in the chemistry of aqueous solutions.

To know more about Proton hydrated visit:-

https://brainly.com/question/29830716

#SPJ11

Calculate the boiling point ( O
C) of an aqueous solution of 2.50 mFe(NO3 ) 3

.Kb for water is 0.512 OC/m.mcq choices: 101.3 ∘
C 5.12 ∘
C 102.5 ∘
C 2.46 ∘
C 100.8 ∘
C 105.1 ∘
C

Answers

The boiling point of the aqueous solution of 2.50 m [tex]Fe(NO_3)_3[/tex]is approximately 101.28 °C. So, the correct option nearest to it is B.

We can use the following equation to find the boiling point of an aqueous solution of [tex]Fe(NO_3)_3[/tex]:

Δ[tex]T_b[/tex] = [tex]K_b[/tex] * m

where:

[tex]K_b[/tex] is the molal boiling point elevation constant for water (0.512 °C/m) and [tex]T_b[/tex] is the boiling point elevation

m is the molality of the solute (2.50 m).

Inserting the values:

ΔTb = 0.512 °C/m * 2.50 m

ΔTb = 1.28 °C

The boiling point is calculated by adding the boiling point elevation to the 100 °C boiling point of pure water:

Boiling point = 100 °C + 1.28 °C

Boiling point = 101.28 °C

Hence, the boiling point of the aqueous solution of 2.50 m [tex]Fe(NO_3)_3[/tex]is approximately 101.28 °C.

So, the correct option nearest to it is B.

Learn more about Boiling point here:

https://brainly.com/question/2153588

#SPJ4

Determine the number of IR-active CO stretching modes for Mn(CO)5Cl. This molecule has a C4v point group, as shown below. Structure of Mn(CO)5Cl Taking only the C-O stretching modes for Mn(CO)5 Cl (only the vectors between the C and O atoms): (1) Using these vectors and their variations to create the reducible representation. E 2C4 C2 2σv 2σd Γ Answer Answer Answer Answer Answer (2) By comparing the reducible representation so created and the irreducible representation gave in the character table, break up this reducible representation to the component irreducible representation even without calculations. Γ = Answer Answer + Answer +Answer (3) Examining the C4h character Table, it is found that Mn(CO)5 has Answer IR active bands and Answer Raman active bands in the region of C-O strecth absorption.

Answers

The reducible representation for Mn(CO)5Cl is Γ = A1 + B1 + B2 + 2E, and it has two IR-active bands and one Raman-active band in the C-O stretch absorption region.

The number of IR-active CO stretching modes for Mn(CO)5Cl can be determined by analyzing its point group symmetry, which is C4v.

(1) To create the reducible representation, we consider the vectors between the C and O atoms.

We have two C-O stretching vectors. Using the operations of the C4v point group (E: identity, 2C4: rotation by 90 degrees, C2: rotation by 180 degrees, 2σv: reflection in vertical planes, 2σd: reflection in diagonal planes), we can determine how these vectors transform under each operation:

E: The vectors remain unchanged.

2C4: The vectors remain unchanged.

C2: The vectors change sign.

2σv: The vectors change sign.

2σd: The vectors remain unchanged.

Therefore, the reducible representation is: Γ = 2A1 + B1 + B2 + E

(2) By comparing the reducible representation to the irreducible representations given in the character table of the C4v point group, we can break down the reducible representation into its component irreducible representations. Based on the character table, we can see that:

A1 appears once.

B1 appears once.

B2 appears once.

E appears twice.

Therefore, the reducible representation breaks down as follows:

Γ = A1 + B1 + B2 + 2E

(3) Examining the C4h character table, we find that Mn(CO)5 has two IR-active bands and one Raman-active band in the region of C-O stretch absorption.

In conclusion, the reducible representation for Mn(CO)5Cl is Γ = A1 + B1 + B2 + 2E, and it has two IR-active bands and one Raman-active band in the C-O stretch absorption region.

Learn more about bands here: brainly.com/question/33362978

#SPJ11

What is in the structure of myoglobin that reacts with potassium ferricyanide(III) to cause the color change? What are the purplish-red and the brown forms of myoglobin? Since myoglobin has oxygen binding property, can these the purplish-red and the brown forms of myoglobin still bind oxygen?

Answers

The structure of myoglobin consists of a protein chain folded into a compact three-dimensional structure. Within the protein structure, there is a heme group, which is a prosthetic group that contains an iron atom coordinated to a porphyrin ring. The iron atom in the heme group is responsible for the oxygen-binding capability of myoglobin.

When myoglobin reacts with potassium ferricyanide(III) (K₃Fe(CN)₆), it undergoes a chemical reaction known as oxidation. During this process, the iron atom in the heme group can be oxidized from the ferrous (Fe²⁺) state to the ferric (Fe³⁺) state. This oxidation results in a change in the electronic structure and color of the heme group, leading to the observed color change.

The purplish-red form of myoglobin is associated with the reduced state, where the iron atom is in the ferrous (Fe²⁺) state. In this state, myoglobin can readily bind oxygen, allowing for oxygen transport and storage in tissues. The binding of oxygen to myoglobin in its purplish-red form results in the formation of oxy-myoglobin, which has a bright red color.

On the other hand, the brown form of myoglobin is associated with the oxidized state, where the iron atom is in the ferric (Fe³⁺ state. In this state, myoglobin has a diminished ability to bind oxygen. The brown color observed in oxidized myoglobin is due to changes in the electronic structure of the heme group.

Therefore, the purplish-red form of myoglobin (reduced state) can bind oxygen, while the brown form of myoglobin (oxidized state) has a reduced oxygen-binding capability. The color change associated with the oxidation of myoglobin reflects the alteration in the electronic properties of the heme group, influencing its oxygen-binding capacity.

To know more about the myoglobin refer here,

https://brainly.com/question/31949845#

#SPJ11

What mass of water in grams contains 1.3 g of Ca? (1.3 g of Ca is the recommended daily allowance of calcium for 19 - to 24−year−olds) Express your answer in grams to two significant figures. X Incorrect; Try Again; 5 attempts remaining

Answers

The mass of water in grams that contains 1.3 g of Ca is 2.3 g (to two significant figures).

The formula to find out the mass of water that contains 1.3 g of Ca is explained below:1.3 g of Ca is the recommended daily allowance of calcium for 19 - to 24−year−olds. The molar mass of Ca is 40.08 g/mol.Therefore, the number of moles of Ca in 1.3 g of Ca can be found as:Number of moles of Ca = (1.3 g) / (40.08 g/mol)

= 0.0324 mol As Ca has a charge of +2, we have to multiply the number of moles of Ca with 2 to find the number of moles of Ca ions.

Number of moles of Ca2+ ions = 0.0324 mol × 2

= 0.0648 mol Now, we need to find out the mass of water that contains 0.0648 mol of Ca2+ ions. For every Ca2+ ion, we need two H2O molecules to keep the ion hydrated. Therefore, Number of moles of H2O = 0.0648 mol × 2

= 0.1296 mol The molar mass of water is 18.02 g/mol. Thus, the mass of water that contains 0.1296 mol of H2O can be calculated as: Mass of water = (0.1296 mol) × (18.02 g/mol)

= 2.337 g ≈ 2.3 g Therefore, the mass of water in grams that contains 1.3 g of Ca is 2.3 g (to two significant figures).

To know more about mass visit:-

https://brainly.com/question/11954533

#SPJ11

The molal freezing point depression constant =Kf·7.23°C·kgmol−1 for a certain substance X. When 10.g of urea NH22CO are dissolved in 350.g of X, the solution freezes at −12.0°C. Calculate the freezing point of pure X.

Answers

The freezing point of pure substance X is approximately -7.6°C.

To calculate the freezing point of pure X, we can use the formula for freezing point depression: ΔT = Kf * m

where ΔT is the change in freezing point, Kf is the molal freezing point depression constant, and m is the molality of the solution.

Given:

Kf = 7.23°C·kgmol⁻¹

m = mass of solute / mass of solvent = 10.g / 350.g = 0.0286 mol/kg

We can rearrange the formula to solve for ΔT:

ΔT = Kf * m

Substituting the given values:

ΔT = 7.23°C·kgmol⁻¹ * 0.0286 mol/kg

ΔT ≈ 0.207 K

The solution freezes at -12.0°C, so the freezing point of pure X can be found by subtracting the depression from the freezing point of the solution: Freezing point of pure X = -12.0°C + 0.207 K ≈ -7.6°C

Therefore, the freezing point of pure substance X is approximately -7.6°C.

To learn more about freezing point here:

https://brainly.com/question/31357864

#SPJ11

Map of the United notes with latitude and longitude lines. The following cities are labeled: Boise, Denver, Austin, Saint Paul, Madison, Lansing, Indianapolis, Nashville, Atlanta.
What city is located at approximately 45° north latitude and 85° west longitude?

Boise
Lansing
Madison
Nashville

Answers

Based on the information given, there is Lansing city among the options provided that is located at approximately 45° north latitude and 85° west longitude. Option B

To determine the city located at approximately 45° north latitude and 85° west longitude, we can refer to the given list of cities and their corresponding latitude and longitude coordinates.

Based on the latitude and longitude values provided, the city located at approximately 45° north latitude and 85° west longitude is Lansing. Lansing is the capital city of the state of Michigan and is situated in the Lower Peninsula of Michigan.

Boise, Denver, Austin, Saint Paul, Madison, Lansing, Indianapolis, Nashville, and Atlanta are all listed cities, but by examining their approximate latitude and longitude coordinates, we can see that Lansing is the closest match to the given coordinates.

It's important to note that the accuracy of the answer may depend on the precision of the latitude and longitude values provided for each city. However, based on the information given, Lansing is the city that aligns closest to the approximate coordinates of 45° north latitude and 85° west longitude.

Option B

For more such question on longitude visit;

https://brainly.com/question/26115924

#SPJ8

"Nurse Sam gave the mother of the sick child a 16 oz bottle of
liquid medication and told her the child should take 30 mL twice a
day. How many tablespoons is
one dose?

Answers

One dose is approximately 2.028 tablespoons long (rounded to three decimal places). Thus, one dose of the liquid medication is approximately 2.028 tablespoons long.

Nurse Sam gave the mother of the sick child a 16 oz bottle of liquid medication and told her the child should take 30 mL twice a day. We have to find the number of tablespoons in one dose of the liquid medication.First, we need to find how many milliliters are in one fluid ounce. There are approximately 29.5735 milliliters in one fluid ounce.

So, the total milliliters in 16 ounces will be 16 × 29.5735 ≈ 473.974 milliliters.

Each dose is 30 mL, so we need to find how many tablespoons are in 30 mL. One tablespoon is equal to 14.7868 milliliters (approximately).

So, 30 mL ÷ 14.7868

≈ 2.028 tablespoons (rounded to three decimal places).

To know more about medication  visit:-

https://brainly.com/question/28335307

#SPJ11

Draw the major organic product(s) of the following reaction. CH3CH₂-CEC-H ▾ -85 NaNH, / NH3(I) . You do not have to consider stereochemistry. • If no reaction occurs, draw the organic starting material. • Draw one structure per sketcher. Add additional sketchers using the dr right corner. Separate multiple products using the + sign from the drop-down menu **** H₂C H3C 000 F n [References] CH-CH₂CH₂-Br

Answers

The final structure of the product is as follows:

H₂C

H3C

CH₃CH₂-C≡CH

The given reaction is a deprotonation reaction. The compound, CH3CH2-C≡C-H, is treated with sodium amide in liquid ammonia, resulting in the formation of an alkyne. The mechanism of the reaction is given below:

CH3CH2-C≡C-H + NaNH2 (Liquid ammonia) → CH3CH2-C≡C^-Na^+ + NH3

The alkynide ion formed then reacts with the solvent, liquid ammonia, and gives an alkyne as the final product. The equation for the reaction is given below:

CH3CH2-C≡C^-Na^+ + NH3 → CH3CH2-C≡CH + Na^+NH2

Therefore, the major organic product obtained from the given reaction is propyne. The final structure of the product is shown below:

H₂C

H3C

CH₃CH₂-C≡CH

To learn more about structure, refer below:

https://brainly.com/question/33100618

#SPJ11

4. Consider a 0.243M aqueous solution of sodium hydroxide, NaOH. (1pts) A. How many grams of NaOH are dissolved in 23.31 mL ? (1pts) B. How many moles of hydroxide ions (OH−)are found in 23.31 mL ? (1pts) C. How many moles of sulfuric acid, H2SO4, are neutralized by 23.31 mL of 0.243MNaOH(aq) ?

Answers

A 0.243M aqueous solution of sodium hydroxide, NaOH. 23.31 mL of 0.243M NaOH neutralizes 0.00283477 moles of H2SO4.

A. To find the number of grams of NaOH dissolved in 23.31 mL of a 0.243M solution, we need to calculate the amount of NaOH in moles and then convert it to grams using the molar mass of NaOH.

First, calculate the moles of NaOH:

Moles of NaOH = Concentration (M) × Volume (L)

= 0.243 mol/L × 0.02331 L

= 0.00566953 mol

Next, convert moles of NaOH to grams:

Grams of NaOH = Moles × Molar Mass

= 0.00566953 mol × (22.99 g/mol + 16.00 g/mol + 1.01 g/mol)

= 0.196 g

Therefore, there are 0.196 grams of NaOH dissolved in 23.31 mL.

B. Since NaOH dissociates into one hydroxide ion (OH-) per molecule, the number of moles of hydroxide ions in the solution is the same as the number of moles of NaOH dissolved.

Hence, there are 0.00566953 moles of hydroxide ions (OH-) in 23.31 mL.

C. To determine the number of moles of sulfuric acid (H2SO4) neutralized by 23.31 mL of 0.243M NaOH, we need to use the stoichiometry of the balanced chemical equation between NaOH and H2SO4.

The balanced equation is:

2 NaOH + HSO -> Na SO + 2 H O

From the equation, we can see that 2 moles of NaOH react with 1 mole of H2SO4.

Therefore, the number of moles of H2SO4 neutralized by 0.00566953 moles of NaOH is:

Moles of H2SO4 = 0.00566953 mol / 2

= 0.00283477 mol

So, 23.31 mL of 0.243M NaOH neutralizes 0.00283477 moles of H2SO4.

To know more about aqueous refer here:

https://brainly.com/question/30215562#

#SPJ11

A. Nuclear Equations Complete the nuclear equations by filling in the correct symbols: 31e+ 96 404 + AI + on + Mo Na + He B. Radiation Measurement 1. Time (min) 1 Counts 34 38 1 34 2. Average background count. Total counts 3 counts/min (cpm) C. Radiation Levels from Radioactive Sources 1. Radiation Source 2. Counts/min 3. Average Back- (cpm) ground (cpm) - 35 mineral 1 615 Mineral 2 3293 Smoke detector 489 Plate Radio Source 6719 7349 Questions and Problems Q1 Which item was the most radioactive? -35 -35 -35 -35 4. Radiation from Source (cpm)

Answers

The radiation levels from different radioactive sources are listed, and it is determined that the Plate Radio Source was the most radioactive. The radiation from this source was measured at 6719 counts per minute (cpm)

The answer for the following Nuclear equation, radiation level and count, and radioactivity is as follows:

A. Nuclear Equations:

31e+ + 96 404AI → 96 41Mo + 0n + 2He

235U + 1n → 93 36Kr + 140 56Ba + 3 1n

B. Radiation Measurement:

Time (min) Counts

1 34

2 38

Average background count: 3 counts/min (cpm)

Total counts: 34 + 38 = 72

C. Radiation Levels from Radioactive Sources:

Radiation Source 2. Counts/min 3. Average Background (cpm)

-35 mineral 1 615

Mineral 2 3293 489

Smoke detector 489 489

Plate Radio Source 6719 7349

Q1. Which item was the most radioactive?

The Plate Radio Source was the most radioactive with a count of 6719 counts/min (cpm).

Q4. Radiation from Source (cpm):

The radiation from the Plate Radio Source was 6719 cpm.

To know more on nuclear equations: https://brainly.com/question/24166732

#SPJ11

If 1.25 g of sodium bicarbonate had reacted with excess acid, what volume of carbon dioxide would have been produced at 789.0mmHg and 24.0 ∘ C ?

Answers

The volume of carbon dioxide produced can be calculated using the ideal gas law equation.

The formula that will be used is:

PV = nRT

The number of moles of CO₂ can be calculated as:

Number of moles of CO₂ = ([tex]\frac{1.25 g NaHCO3}{84.01 g/mol NaHCO3}[/tex]) = 0.01487 mol

P = 789.0 mmHg = (789.0 × 1 ÷760) atm

n = 0.01487 mol

R = 0.0821 L·atm/(mol·K)

T = 297.15 K

Substituting the above values in the ideal gas equation, we get:

V = [tex]\frac{0.01487 x 0.0821 x 297.15}{789 x 1/760}[/tex]

V = 0.000805 L or 0.805 mL

Therefore, the volume of carbon dioxide produced would be approximately 0.805 mL.

Learn more about ideal gas equation in:

https://brainly.com/question/30935329

#SPJ4

What is the hydronium ion concentration in an aqueous nitric acid solution with a pH of 1.430 ? [H 3

O +
]= What is the pH of an aqueous solution of 1.40×10 −2
M hydrochloric acid?

Answers

The hydronium ion concentration in the nitric acid solution is [H3O+] = 4.48 × 10^−2 M.

The pH of the hydrochloric acid solution is pH = 1.85.

1. To find the hydronium ion concentration in the nitric acid solution with a pH of 1.430, we can use the equation pH = -log[H3O+]. Rearranging the equation, we have [H3O+] = 10^(-pH). Plugging in the given pH value:

[H3O+] = 10^(-1.430) = 4.48 × 10^(-2) M

Therefore, the hydronium ion concentration in the nitric acid solution is [H3O+] = 4.48 × 10^(-2) M.

2. The pH of an aqueous solution can be calculated using the equation pH = -log[H3O+]. In the case of hydrochloric acid (HCl), it is a strong acid, meaning it completely ionizes in water to produce H3O+ ions. Therefore, the concentration of H3O+ is equal to the concentration of HCl.

Given that the concentration of hydrochloric acid is 1.40 × 10^(-2) M, we can directly use this value to calculate the pH:

pH = -log(1.40 × 10^(-2)) = 1.85

Therefore, the pH of the hydrochloric acid solution is pH = 1.85.

To know more about "pH" refer here:

https://brainly.com/question/30761746#

#SPJ11

The normal boiling point of a certain liquid X is 131.5°C, but when 64.1g of urea NH22CO are dissolved in 700.g of X, it is found that the solution boils at 135.0°C instead. Use this information to calculate the molal boiling point elevation constant Kb of X.

Answers

The molal boiling point elevation constant (Kb) of liquid X is determined by dissolving 64.1g of urea ([tex]NH_2CONH_2[/tex]) in 700g of X, causing the solution to boil at 135.0°C instead of the normal boiling point of 131.5°C. Calculations yield a Kb value of approximately 2.29°C·kg/mol.

To calculate the molal boiling point elevation constant (Kb), we need to use the formula:

ΔTb = Kb * m

Where ΔTb is the boiling point elevation, Kb is the molal boiling point elevation constant, and m is the molality of the solution.

First, we need to calculate the molality of the solution.

The molar mass of urea ([tex]NH_2CONH_2[/tex]) is:

1 * 14.01 (N) + 4 * 1.01 (H) + 1 * 12.01 (C) + 1 * 16.00 (O) = 60.06 g/mol

The number of moles of urea in the solution can be calculated by dividing the mass of urea by its molar mass:

n = mass / molar mass = 64.1 g / 60.06 g/mol = 1.068 mol

The mass of the solvent (X) is 700 g.

The molality (m) is given by the formula:

m = n / mass of solvent (in kg) = 1.068 mol / 0.7 kg = 1.526 mol/kg

Now, we can calculate the boiling point elevation (ΔTb) using the formula:

ΔTb = boiling point of the solution - boiling point of the pure solvent = 135.0°C - 131.5°C = 3.5°C

Finally, we can calculate Kb by rearranging the formula:

Kb = ΔTb / m = 3.5°C / 1.526 mol/kg = 2.29°C·kg/mol

Therefore, the molal boiling point elevation constant (Kb) of liquid X is approximately 2.29°C·kg/mol.

To know more about boiling point refer here:

https://brainly.com/question/31074906#

#SPJ11

Determine the total yield of ATP from the complete oxidation of palimitic acid, a 16-C saturated fatty acid. Show your work.

Answers

The total yield of ATP from the complete oxidation of palmitic acid, a 16-C saturated fatty acid, is 82 ATP molecules.

Palmitic acid has a 16-carbon chain and undergoes a process called beta-oxidation to generate acetyl-CoA molecules. Each round of beta-oxidation results in the production of one acetyl-CoA molecule, which enters the citric acid cycle (also known as the Krebs cycle).

In the citric acid cycle, each acetyl-CoA molecule produces three NADH molecules, one FADH₂ molecule, and one GTP molecule (which can be converted to ATP). The NADH and FADH₂ molecules generated from the citric acid cycle then enter the electron transport chain, where they donate electrons to produce ATP through oxidative phosphorylation.

The net result is that each acetyl-CoA molecule yields about 10 ATP molecules through oxidative phosphorylation. Since palmitic acid generates 8 acetyl-CoA molecules (two per each round of beta-oxidation), the total yield of ATP is approximately 8 × 10 = 80 ATP molecules.

Additionally, during the beta-oxidation process, there is an initial investment of 2 ATP molecules to activate palmitic acid. Hence, we add 2 ATP to the total, resulting in a final total yield of 80 + 2 = 82 ATP molecules.

learn more Yeild here:

https://brainly.com/question/32796303

#SPJ11

1. The decomposition of \( \mathrm{N} O \), procecds according to the equation \[ 2 \mathrm{NO}_{s} \text { à } 4 \mathrm{NO}_{s}+\mathrm{O}_{\text {se }} \] If the rate of decompesition of \( \mathr

Answers

If the rate of decomposition of NO is 0.25 mol/(L·s), the rate of formation of NO₂ is 0.50 mol/(L·s), and the rate of formation of O₂ is 0.25 mol/(L·s), the rate of disappearance of NO is 0.50 mol/(L·s).

According to the given equation, the decomposition of NO (nitric oxide) proceeds as follows:

2NO(g) → 4NO₂(g) + O₂(g)

The rates of reaction can be expressed in terms of the rate of disappearance of NO and the rates of formation of NO₂ and O₂.

Given:

Rate of decomposition of NO = 0.25 mol/(L·s)

Rate of formation of NO₂ = 0.50 mol/(L·s)

Rate of formation of O₂ = 0.25 mol/(L·s)

Since the stoichiometric coefficient of NO in the balanced equation is 2, the rate of disappearance of NO is twice the rate of decomposition:

Rate of disappearance of NO = 2 × 0.25 mol/(L·s) = 0.50 mol/(L·s)

Therefore, the rate of disappearance of NO is 0.50 mol/(L·s).

It's important to note that the given rates are in terms of concentration changes over time (mol/L·s). The rates can be determined experimentally using techniques such as the initial rate method or the method of continuous variations.

To know more about stoichiometric coefficient refer here:

https://brainly.com/question/32088573#

#SPJ11

calculate the solubility in g/L of silver chloride in water at 25°C
if the Ksp for AgCl is 1.77•10^-10

Answers

The solubility of silver chloride (AgCl) in water at 25°C is approximately 1.90 x 10⁻³g/L.

The solubility of a compound can be determined using its equilibrium constant, known as the solubility product constant (Ksp). For the dissolution of AgCl, the equilibrium equation can be written as follows:

AgCl (s) ⇌ Ag⁺ (aq) + Cl⁻ (aq)

The Ksp expression for this equilibrium is given by:

Ksp = [Ag⁺] [Cl⁻]

At equilibrium, the concentration of Ag⁺ ions and Cl⁻ ions in solution will be equal to the solubility of AgCl, which we'll represent as "s" (in mol/L). Therefore, we can write:

Ksp = s * s = s²

Substituting the given value of Ksp (1.77 x 10⁻¹⁰) into the equation, we have:

1.77 x 10⁻¹⁰ = s²

Solving for s, we find:

s ≈ √(1.77 x 10⁻¹⁰) ≈ 1.33 x 10⁻⁵ mol/L

To convert the solubility from mol/L to g/L, we need to multiply by the molar mass of AgCl, which is approximately 143.32 g/mol. Therefore:

Solubility = 1.33 x 10⁻⁵ mol/L * 143.32 g/mol ≈ 1.90 x 10⁻³ g/L

learn more about Solubility here:

https://brainly.com/question/14470720

#SPJ11

1.
What is the pH of 0.0100 M solution of phthalic acid (H2P)
2.If 25.0 mL of 0.20 M NaOH is added to 20.0 mL of 0.25 M
boric acid (HaBO3).
what is the pH of the resultant solution?H3BO3, Ka1= 6.4 ×

Answers

Boric acid ([tex]H3BO3[/tex]) is a weak acid, and the pH of the resultant solution is determined by the acid's dissociation in water. H3BO3 has two dissociation constants: [tex]Ka1=6.4 × 10-10 andKa2=5.8 × 10-14[/tex].

We must first determine the degree of dissociation (α) of the acid before calculating the pH of the solution, given that the acid is a weak acid. [tex]α=√(K_a/[H_3BO_3])At 25°C, [H3BO3] = 0.1 mol/Lα=√((6.4×10^-10)/(0.1))=2.02×10^-5.[/tex]

The [H3O+] of the resulting solution can now be determined from the equation: [tex]Ka=[H_3O^+]^2/[H_3BO_3]Ka1=(H_3O^+)2/[H3BO3]H3BO3 = 0.1 mol/L, Ka1 = 6.4 x 10^-10.[/tex]

Therefore,[tex][H3O+]2 = 0.1 x 6.4 x 10^-10[/tex]. Hence, [tex][H3O+] = 8.0 x 10^-6 M.[/tex]The pH of the resulting solution can be calculated using the following equation: [tex]pH = -log[H3O+].[/tex] Therefore, [tex]pH = -log(8.0 x 10^-6) = 5.10.[/tex]Thus, the pH of the resulting solution is 5.10.

To know more about Boric acid here

https://brainly.com/question/24002052

#SPJ11

You want a buffer solution, and you choose the following acid and conjugate base: carbonic acid and sodlum hydrogen carbonate. \( K_{L} a=4.3 \) times \( 10^{\wedge}\{-7) \) for carbonic acid. The ini

Answers

The exact concentrations required for the buffer solution, we need additional information such as the desired pH range and the total volume of the buffer solution.

The initial step in preparing a buffer solution using carbonic acid ([tex]H_2CO_3[/tex]) and sodium hydrogen carbonate ([tex]NaHCO_3[/tex]) is to calculate the required ratio between the acid and its conjugate base.

To achieve an effective buffer, you typically want the ratio of the concentrations of the acid and the conjugate base to be close to 1.

To determine the appropriate concentrations, you can start by writing the dissociation reactions for carbonic acid and sodium hydrogen carbonate:

Carbonic acid dissociation:

[tex]\ce{H2CO3 \rightleftharpoons H+ + HCO3-}[/tex]

Sodium hydrogen carbonate dissociation:

[tex]\ce{NaHCO3 \rightleftharpoons Na+ + HCO3-}[/tex]

Given the acid dissociation constant (Ka) for carbonic acid as

[tex]Ka = 4.3 * 10^{-7}[/tex],

we can set up an equation to calculate the concentration ratio between [tex]HCO_3^-[/tex] and [tex]H_2CO_3[/tex]:

Ka =[tex][H^+][HCO_3^-] / [H_2CO_3][/tex]

Since the concentration of [tex]H_2CO_3[/tex] is unknown, we need to express it in terms of the concentration of [tex]HCO_3^-[/tex] using the Henderson-Hasselbalch equation:

[tex]pH = pKa + \log\left(\frac{{[HCO_3^-]}}{{[H_2CO_3]}}\right)[/tex]

In this case, the pKa is equal to the negative logarithm of the Ka value:

[tex]pKa = -\log_{10}(Ka) = -\log_{10}(4.3 \times 10^{-7})[/tex]

Once you know the pH and the pKa, you can calculate the ratio [[tex]HCO_3^-[/tex]] / [[tex]H_2CO_3[/tex]]. However, for a buffer solution, you need the ratio of the concentrations of [tex]H_2CO_3[/tex] and [tex]NaHCO_3[/tex] to be close to 1.

To proceed further and determine the exact concentrations required for the buffer solution, we need additional information such as the desired pH range and the total volume of the buffer solution. Please provide more details to continue the calculation.

To learn more about buffer solution,

https://brainly.com/question/8676275

#SPJ4

At -67 oC the equilibrium constant for the reaction:
2 HBr(g) H2(g) + Br2(g)
is KP = 4.89e-21. If the initial pressure of HBr is 0.00690 atm, what are the equilibrium partial pressures of HBr, H2, and Br2?
p(HBr) = .
p(H2) = .
p(Br2) = .

Answers

The equilibrium partial pressures are as follows: p(HBr) = [tex]2.47e^{-11}[/tex] atm, p(H2) = [tex]1.23e^{-11}[/tex] atm, and p(Br2) = [tex]1.23e^{-11}[/tex] atm.

The equilibrium constant ([tex]K_P[/tex]) expression for the reaction is:

[tex]K_P = \frac{[H2][Br2] }{[HBr]^2}[/tex]

Given the value of [tex]K_P[/tex] as [tex]4.89e^{-21}[/tex], we can substitute the equilibrium partial pressures of the species into the expression and solve for the unknowns.

Let's assume the equilibrium partial pressure of HBr is x atm. Then, the partial pressures of [tex]H_2[/tex] and [tex]Br_2[/tex] will be (2x) and (x), respectively, based on the stoichiometry of the reaction.

Substituting these values into the [tex]K_P[/tex] expression, we have:

[tex]4.89e^{-21} = \frac{[(2x)(x)] }{(x^2)^2}[/tex]

Simplifying the expression, we get:

[tex]4.89e^{-21} = \frac{2x^2}{x^4}[/tex]

Rearranging the equation, we have:

[tex]x^4 = \frac{2}{4.89e^{-21}}\\x^4 = 4.08e^{20}[/tex]

Taking the fourth root of both sides, we get:

[tex]x \approx 2.47e^{-5} atm[/tex]

Since the equilibrium partial pressure of HBr is x, the equilibrium partial pressures of [tex]H_2[/tex] and [tex]Br_2[/tex] will be (2x) and (x), respectively.

Therefore, the equilibrium partial pressures are as follows:

p(HBr) ≈ [tex]2.47e^{-11}[/tex] atm

p(H2) ≈ [tex]1.23e^{-11}[/tex] atm

p(Br2) ≈ [tex]1.23e^{-11}[/tex] atm

Learn more about partial here: brainly.com/question/14119417

#SPJ11

Most organic liquids have a lower density than water, with the exception of chlorinated organic solvents, and will settle to the bottom of the separatory funnel. True: False

Answers

False. Most organic liquids have a lower density than water and will float on top of water in a separatory funnel.

In a separatory funnel, the immiscible liquids are separated based on their density differences. Organic liquids, such as hydrocarbons and many organic solvents, typically have lower densities than water. As a result, they will float on top of the aqueous layer in the separatory funnel.

This property is utilized in various extraction and separation techniques in organic chemistry. By carefully adding the organic liquid to the separatory funnel and allowing it to settle, the denser aqueous layer can be drained from the bottom while the organic layer remains on top. This allows for the separation of different components or purification of the desired organic compound.

However, chlorinated organic solvents, such as chloroform or carbon tetrachloride, are exceptions to this general rule. These solvents have higher densities than water and will settle to the bottom of the separatory funnel. Therefore, the statement that chlorinated organic solvents are an exception to the lower density of organic liquids compared to water is true.

In summary, most organic liquids have lower densities than water and will float on top of water in a separatory funnel, except for chlorinated organic solvents, which have higher densities and will settle to the bottom.

To know more about density, click here:

brainly.com/question/29775886

#SPJ11

Specify substances that react with bromine water (addition or oxidation reactions). palmitic acid linolenic acid glycaric acid trioleine glycose tristearine

Answers

Bromine water is a reddish-brown solution of Br2 dissolved in water that is frequently utilized as a reagent to identify double or triple bonds in an organic substance or to identify phenols.

The solution reacts with several chemicals, resulting in oxidation or addition reactions.In the presence of bromine water, addition reactions occur when unsaturated compounds are reacted. Palmitic acid, linolenic acid, and glycaric acid, which are unsaturated compounds, can react with bromine water. Bromine water is added to them in this case. The bromine water solution will become colorless if there are any unsaturated compounds in the solution.

Palmitic acid is a saturated fatty acid, meaning that it does not contain any double bonds; as a result, it does not react with bromine water.Oxidation reactions occur when the oxidizing agent is bromine water and the reaction is used to distinguish between primary, secondary, and tertiary alcohols. Glycose, tristearine, and trioleine are organic compounds that contain hydroxyl groups; as a result, they can react with bromine water. When these compounds react with bromine water, they undergo oxidation reactions.Overall, substances such as palmitic acid, linolenic acid, glycaric acid, trioleine, and glycose can react with bromine water in either addition or oxidation reactions.

To know more about phenols visit:-

https://brainly.com/question/10361409

#SPJ11

What would the splitting be for each peak found in molecules A & B? 7 A. B. O

Answers

To provide the splitting for each peak found in molecules A and B, I would need more specific information about the molecular structures and the nature of the splitting.

The splitting of peaks in NMR (nuclear magnetic resonance) spectroscopy is determined by various factors such as neighboring atoms, spin-spin coupling constants, and symmetry of the molecule.

In general, the splitting pattern is determined by the n+1 rule, where "n" represents the number of neighboring protons. Here are a few common splitting patterns:

Singlet (s): A single peak with no neighboring protons. It appears as a single line or peak.

Doublet (d): A peak split into two equal-intensity peaks by one neighboring proton. The ratio of peak intensities is approximately 1:1.

Triplet (t): A peak split into three equal-intensity peaks by two neighboring protons. The ratio of peak intensities is approximately 1:2:1.

Quartet (q): A peak split into four equal-intensity peaks by three neighboring protons. The ratio of peak intensities is approximately 1:3:3:1.

These splitting patterns can further extend to more complex patterns like quintet (five peaks), sextet (six peaks), septet (seven peaks), and so on.

To know more about NMR:

https://brainly.com/question/17564948
#SPJ11

Other Questions
11.4 8. x + (x + 2) = 1 (y 4 (a) Find the center, vertices, and foci of the ellipse. (b) Determine the lengths of the major and minor axes. (c) Sketch a graph of the ellipse The author claims that a shortage of sleep can be unsafe . Describe how the author supports this claim. identify and discuss the advantages of the case study method i need to pass can you help me 4) CalculateMoles in 50.0 mL of 0.25 MNaOH. Volume of 0.50 M NaOH needed to neutralize 20.0 mL of 0.10 Macetic acid. A survey found that 39% of all gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent games who play video games on their smartphones. What is the value of n ? Homework Help: 3DE. Definitions, assumptions and elements (n,x,p) of binomial experiments (DOCX) 0.10 0.39 x, the counter 10 13Select the correct answer from each drop-down menu.A composite figure is shown.6 ft6 ft6 ft20 ftWhat is the surface area for each part of the figure? What is the total surface area of the figure?The surface area of the pyramid isThe surface area of the square prism isThe surface area of the cube isThe total surface area issquare feet.square feet.square feet.square feet.4 ft What is the most important value in "Patagonia company" among effectiveness, efficiency, equity? Why? How has online or web-based banking has changed how people choose and use financial services? [1024(32)]+[(125)5] The Parent in 2 above will report after tax profits of $______ and the consolidated after tax profits will be $_____ in year 1 related to these intercompany sales.a) $2,100, $1,050 b) $4,200, $2,100 c) $2,500, $1,250 d) $3,000, $1,500 The table below shows the freezing points of four substances.Substance Freezing point (C)benzene 5.50water 0.00butane 138nitrogen210.The substances are placed in separate containers at room temperature, and each container is gradually cooled. Which of these substances will solidify before the temperature reaches 0C?benzenewaterbutanenitrogen f(x)=ln(3x 4+7x) 8/3(9) f(x)=3xln(9x+8) (10) f(x)=e 2x+5ln(9x8) Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms in her motel. There are two plans before her. Plan A calls for an immediate cash outlay of $400,000, whereas plan B calls for an immediate outlay of $200,000. Sharon estimates that adopting plan A would yield an income stream of f(t) = 3,060,000e0.03t dollars/year for the next 5 years, whereas adopting plan B would yield an income stream of g(t) = 3,200,000 dollars/year for the next 5 years. If the prevailing rate of interest is 4%/year compounded continuously, which plan will yield the higher net income (in dollars) at the end of 5 years? a. plan A b.plan B The angle of elevation to the top of a particular skyscraper inNew York is 300 from the ground at distance of 500 meters from thebase of the building. Find the height of the skyscraper. Includethe A group of cyclists recorded the distance they have traveled.Draw a line plot and answer the questions below.NameGinaReyFayeMarkJohnJamesAlbertWilliamNathanKateMaryRisaPaulAbiJoanDistance inmiles40 1/25035 3/4604555 1/4604540 1/2504540 1/26040 1/235 3/4Title:1. How many cyclists were there?2. What was the longest distance traveled?3. How many cyclists traveled less than 50 miles?4. What was the most common distance traveled bythe cyclists?5. How many more cyclists traveled 45 miles than55 1/4 miles?6. How many cyclists traveled more than 45 miles Suppose hamburgers are on the horizontal axis and root beer on the vertical axis. You have a budget allowance of $10, and the price of hamburgers is $4 and root beer is $2. The slope of your budget constraint is Fill in the blank. Between 2006 and 2016, the number of applications for patents, N, grew by about 4.6% per year. That is, N'(t)=0.046N(t). a) Find the function that satisfies this equation. Assume that t=0 corresponds to 2006, when approximately 460,000 patent applications were received. b) Estimate the number of patent applications in 2020. c) Estimate the rate of change in the number of patent applications in 2020. calculate the concentration of the standard naoh solution after dilution ZILLDIFFEQMODAP11 7.R.015. Fill in the blank. (Enter your answer in terms of t.) L1{(s6)61}=