A chemical engineer must be able to predict the changes in chemical concentration in a reaction. dC/dt = -kCn where C is chemical concentration and k is rate constant. Order of reaction is the value of n. The first order reaction that combines tert-butyl bromide and water to produce tert-butyl alcohol and hydrogen bromide is shown below; (CH3)3CBr + H2O  (CH3)3COH +HBr From the experimental data, k was estimated to be k = 0.0537 (h -1 ). Determine concentration after 1 hour, if C(0) = 0.2 mol/L

Answers

Answer 1

Answer:

Explanation:

Consider the general chemical reaction

                                                       [tex]\mathrm{A} \ \overset{k}{\longrightarrow} \ \mathrm{product}[/tex]  .

If [A] is the concentration of A (reactant) at any time t and n is the reaction order for the whole equation, the rate is then related to the concentration of reactant A with the following differential form of equation

                                               [tex]Rate \ = \ -\displaystyle\frac{d[\mathrm{A}]}{dt} \ = \ k[\mathrm{A}]^{n}[/tex]  .

where k is the rate constant.

*Note that the differential term [tex]\displaystyle\frac{d[\mathrm{A}]}{dt}[/tex] has a negative sign to denote that the concentration of A is decreasing over time t.

Since the chemical reaction between tert-butyl bromide and water is given to be a first-order reaction, hence n = 1, and the resulting differential equation becomes

                                        [tex]Rate \ = \ -\displaystyle\frac{d[\mathrm{A}]}{dt} \ = \ k[\mathrm{A}]^{1} \ = \ k[\mathrm{A}][/tex]

To solve this first-order linear homogenous differential equation, the method of separation of variables can be used.

[tex]\-\hspace{1cm} \displaystyle\frac{d[\mathrm{A}]}{dt} \ = -\ k[\mathrm{A}] \\ \\ \-\hspace{0.5cm} \displaystyle\frac{1}{[\mathrm{A}]} \, d[\mathrm{A}] \ = -\ k \, dt \\ \\ \int\ {\displaystyle\frac{1}{[\mathrm{A}]} \, d[\mathrm{A}] \ = \ -\int {k} \, {dt}[/tex]

         [tex]\ln{[\mathrm{A}]} \ = \ -kt \ + \ C \\ \\ \-\hspace{0.45cm} $[A]$ \ = \ e^{-kt \ + \ C} \\ \\ \-\hspace{0.45cm} $[A]$ \ = \ e^{-kt}e^{C} \ \ \ \ \ \ \ \ \ (e^{a \ + \ b} \ = \ e^{a}e^{b} \ \ \ \mathrm{by \ the \ law \ of \ indices})[/tex]

Since the term [tex]e^{C}[/tex] is a constant, let [tex]\alpha \ = \ e^{C}[/tex], hence [tex][\mathrm{A}] \ = \ \alpha e^{-kt}[/tex] or [tex]C \ = \ \alpha e^{-kt}[/tex] according to the question. Given that the initial concentration (t = 0) of tert-butyl bromide is 0.2 mol/L and k = 0.0537[tex]\mathrm{h^{-1}}[/tex], so

[tex]0.2 \ = \ \alpha e^{-0.0537 \ \times \ 0} \\ \\ 0.2 \ = \ \alpha \ \ \ \ \ (e^{0} \ = \ 1)[/tex]

Therefore, the rate equation is [tex]C \ = \ 0.2e^{-0.0537t}[/tex].

The concentration of tert-butyl alcohol after 1 hour is

[tex]C \ = \ 0.2e^{-0.0537 \ \times \ 1} \\ \\ C \ = \ 0.2e^{-0.0537} \\ \\ C \ = \ 0.190 \ \mathrm{mol/L} \ \ \ (3 \ \ \mathrm{s.f.})[/tex]


Related Questions

What is the pH of a solution with a 3.2 x 10−5 M hydronium ion concentration? (5 points)

Select one:
a.4.3
b.4.5
c.11
d.12

Answers

B. 4.5

I looked it up

Answer:

b. 4.5

Explanation:

Since it is hydronium ion concentration, that means it is an acid.

pH formula = -log[H3O+]

-log(3.2 x 10^{-5} = 4.5

13. Which has the largest atomic radius?
A. fluorine B. chlorine C. bromine
D. a bromine anion with a charge of 1-

Answers

Answer:

bromine

Explanation:

Help asapp plzz!!!!

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Answer:

Determining what data to collect.

Explanation:

How many oxygen do we have in the FE2(so4)3

Answers

Explanation:

What do you mean by 'how many oxygen'?

oxygen atoms? or oxygen percentage?

if oxygen atoms is 12 atoms

determine the gram-formula mass of stearin acid C17H35COOH

Answers

Answer:

284.48 g/mol

Explanation:

You can find the molar mass of any molecule by looking at a periodic table and adding up all of the masses of each element. When you do this with stearic acid, you get somewhere around 284.5 g/mol. Hope this helped!

1) Convert the following:
900g to kg

2.87L to uL

Answers

Answer:

0.9 kg

2870000 uL

there is a conversion calculator online

Write the symbol for every chemical element that has atomic number greater than 3 and atomic mass less than 15.4 u.

Answers

Answer:

N, B, Be, C

Explanation:

N (Nitrogen) has 14.0067 B (Boron) has 10.81 Be (Beryllium) has 9 and C (Carbon) has 12

The symbols for every chemical element that has atomic number greater than 3 and atomic mass less than 15.4 u are C, N, O, F, and Ne.

To find elements with atomic number greater than 3 and atomic mass less than 15.4 u, we'll consider the periodic table. Elements with atomic numbers 4 (Be) and higher meet the atomic number criterion. For the atomic mass, we'll look at elements with atomic masses below 15.4 u.

The chemical elements that fulfill both criteria are: Carbon (C) with atomic number 6 and atomic mass 12.01 u, Nitrogen (N) with atomic number 7 and atomic mass 14.01 u, Oxygen (O) with atomic number 8 and atomic mass 16.00 u, Fluorine (F) with atomic number 9 and atomic mass 18.99 u, and Neon (Ne) with atomic number 10 and atomic mass 20.18 u.

These elements meet the conditions of having atomic number greater than 3 and atomic mass less than 15.4 u. Therefore, the symbols for these elements are C, N, O, F, and Ne.

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I need the skeleton equation for the following sentence!

Carbon dioxide gas and solid calcium oxide are produced in the decomposition of solid calcium carbonate.

Answers

Answer:

A. CaCO(s)+SO(g)+O(g) --> CaSO(s)+CO(g)

A. CaCO(s)+SO(g)+O(g) --> CaSO(s)+CO(g)

Which list correctly compares how adding energy affects a substance during a phase change and not during a phase change?(1 point)

during a phase change: particles overcome forces of attraction and temperature stays the same
not during a phase change: particles become closer together
during a phase change: particles overcome forces of attraction and temperature stays the same
not during a phase change: temperature rises
during a phase change: particles overcome forces of attraction and temperature rises
not during a phase change: particles become closer together
during a phase change: particles overcome forces of attraction and temperature rises
not during a phase change: temperature rises


Which action happens at the microscopic scale as the temperature of a substance decreases and it eventually freezes?(1 point)

Particle motion decreases, and electrostatic forces pull particles closer together.
Particle motion increases, and the particles overcome electrostatic forces.
Particle motion decreases, and the particles overcome electrostatic forces.
Particle motion increases, and electrostatic forces pull particles closer together.

Which statement describes how a macroscopic property of gases provides information about microscopic gas particles?(1 point)

Gases fill their container, showing that gas particles are strongly attracted through electrostatic forces.
Gases have a fixed volume, showing that gas particles are strongly attracted through electrostatic forces.
Gases fill their container, showing that gas particles are not tied together and can move far apart.
Gases have a fixed volume, showing that gas particles are not tied together and can move far apart.

Answers

Answer:

1) during a phase change: particles overcome forces of attraction and temperature stays the same not during a phase change: temperature rises 2)Particle motion decreases, and electrostatic forces pull particles closer together.

3) Gases fill their container, showing that gas particles are not tied together and can move far apart.

Explanation:

What element makes up graphene

Answers

Carbon makes up graphene NOT carbon dioxide

At a certain temperature, the equilibrium pressures of NO2 and N2O4 are 1.4 bar and 0.46 bar, respectively. If the volume of the container is doubled at constant temperature, what would be the partial pressures of the gases when equilibrium is re-established?

Answers

The partial pressure of NO₂ at equilibrium is 0.70 bar and the partial pressure of N₂O₄, at equilibrium is 0.23 bar.

Let x be the mole fraction of NO₂ and x' be the mole fraction of N₂O₄.

The total pressure according to Dalton's law of partial pressure is the sum of the partial pressures of each gas.

Let P be the total pressure of the gases, P' be the partial pressure of NO₂ = 1.4 bar and P" be the partial pressure of N₂O₄ = 0.46 bar.

So, P = P' + P"

= 1.4 bar + 0.46 bar

= 1.86 bar

Since P' = xP

x = P'/P

= 1.4 bar/1.86 bar

= 0.753

Also, P" = xP

x' = P"/P

= 0.46 bar/1.86 bar

= 0.247

Now, since the volume of the container is doubled at constant temperature, we use Boyle's law to determine the new pressure. P₁.

Boyle's law states that the pressure of a given mass of gas is inversely proportional to its volume provided the temperature remains constant. It is written mathematicaly as PV = constant

So, PV = P₁V₁

P₁ = (V/V₁)P

Since V/V₁ = 1/2

P₁ = (V/V₁)P

P₁ = P/2

P₁ = 1.86/2 bar

P₁ = 0.93 bar

So, the new partial pressure of NO₂, P₂ = xP₁

= 0.753 × 0.93 bar

= 0.70 bar

The new partial pressure of N₂O₄, P₃ = x'P₁

= 0.247 × 0.93 bar

= 0.23 bar

So, the partial pressure of NO₂ at equilibrium is 0.70 bar and the partial pressure of N₂O₄, at equilibrium is 0.23 bar.

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*WILL GIVE BRAINLIEST* Which of the following best approximates the percentages of sand, clay, and silt in a sandy loam? Use the soil texture table below to answer.

A. Sand 40
Clay 30
Silt 30

B. Sand 60
Clay 10
Silt 30

C. Sand 20
Clay 60
Silt 20

D. Sand 25
Clay 15
Silt 60

Answers

B
Answer: The answer is B

Another fact that many organisms are " linked " together is

Answers

Answer:

Individual organisms live together in an ecosystem and depend on one another. ... Some organisms can make their own food, and other organisms have to get their food by eating other organisms. An organism that must obtain their nutrients by eating (consuming) other organisms is called a consumer, or a heterotroph.

Explanation:



All living organisms are linked to one another because


A
all have cellular organization.
B
they have common genetic material of same type.
C
they share common genetic material but to varying degrees.
D
all the above.


The correct option is C
all the above.

Their interrelationships are based on all the given factors.

what is the molecular geometry of AsCl3?

Answers

what is the molecular geometry of AsCl3?
Answer: The arsenic atom is surrounded by 4 regions of electron density, which means that its has a steric number equal to 4. According to VSEPR Theory, the molecular geometry will be trigonal pyramidal, AX3E1.

Picture:

Molecules' general shape, as well as bond lengths, bond angles, torsional angles, and any other geometrical factors that affect each atom's position, are revealed by their molecular geometry. The molecular geometry of AsCl₃ is trigonal pyramidal.

Molecule geometry is the study of the three-dimensional configuration of the atoms that make up a molecule. Because the shared pairs of electrons remain localized in a specific location between the nuclei of the involved atoms, covalent molecules have directed bonds.

The arsenic atom is surrounded by 4 regions of electron density which means that it has a steric number equal to 4. According to VSPER Theory, the molecular geometry will be trigonal pyramidal, AX₃E₁.

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which of the following forces could be used in electronic devices?

spring
gravitational
applied
magnetic

Answers

It’s should be magnetic

Answer:

Explanation:

poop

How many atoms of copper in 3. 11 g of copper

Answers

Atomic weight of copper = 63.5 g1 mole of copper contains = 63.5g = 6.023 × 10²³ atoms of copper1 g of copper contains[tex] = \frac{ 6.023 \times 10²³}{63.5} [/tex]= 9.4 × 10²¹ atomsTherefore, 3.11g of copper contains[tex] = 3.11 \times 9.4 \times {10}^{21} \\ [/tex]= 29.234 × 10²¹ atoms

Hope you could get an idea from here.

Doubt clarification - use comment section.

One student made the incomplete diagram shown below to represent the relationship between Magma, Igneous Rocks, and Metamorphic Rocks.

Which of these is the correct next step to complete the diagram?

A. Put an arrow labeled deposition and lithification, pointing from Igneous Rocks to Magma.
B. Put an arrow labeled heat and pressure, pointing from Magma to Igneous Rocks.
C. Put an arrow labeled heat and melt, pointing from Metamorphic Rocks to Magma.
D. Put an arrow labeled cools and crystallizes, pointing from Igneous Rocks to Metamorphic Rocks.

Answers

Answer:

the answer is B

Explanation:

this shows the next step and shows how magma turns into igneous rocks by heat and pressure

1 gallon is how many mm

Answers

Answer:

0.133681 (cubic foot)

Explanation:

How many electrons does chlorine need to gain in order to be like Argon ?


- 2 electrons

- 3 electrons

- 1 electron

Answers

Chlorine is in group 7 and thus requires 1 more valence electron in order to form a full valence shell as Argon (group 8 or also known as group 0). Therefore, the answer is 1 electron

What is a proofreading tip you should use to double check that your work is error free

Answers

How you can check to make sure your work is error-free is by:

Placing a ruler under each line as you are reading itIf you are able to, try checking your work when you are the most alert so it can be easier to track a mistakeTry to read it out loud if you are comfortable with thatYou can have a friend, family member, or teacher help read it and check over itThink about the common mistakes you makeIf your work is computer written then you can use a spell checker app such as GrammarlyRead over your work at least two or three times

Hope this Helps

chemist wished to find the volume of a large barrel and had no equipment for measuring the amount of water needed to fit it. He added of 400g of pure sodium chloride barrel and filled with chlorine free water. After thorough mixing a 100 ml sample of the solution re

Answers

Answer:

Place the object in the graduated cylinder, and record the resulting water volume as "b." Subtract the volume of the water alone from the volume of the water plus the object. For instance, if "b" was 50 milliliters and "a" was 25 milliliters, the volume of the irregularly shaped object would be 25 milliliters.

What does Bromine-80 decays by beta decay to?



Answers

Answer:

beta to Kr-80 or Se-80

Explanation:

sorry if wrong

Choose the correct interpretation for the statement below:

"Relative atomic mass of T is 2"


A) The mass of one mole of T is two.

B) The mass of one T atom is double compared to the mass of one carbon-12 atom.

C)Mole ratio of T atom to 1/12 of carbon-12 atom is two.

D)The ratio of the mass of one T atom to 1/12 of the mass of one carbon-12 atom is two.​

Answers

Answer:

b

Explanation:

4.
TRUE OR FALSE?
Frequency is how often a wave occurs in a given time period.
Group of answer choices

True
False

Answers

Answer:

The answer to this question is True

true or false in a chemical reaction the same number of each type of atom will always be present before and after the reaction takes place​

Answers

Answer:

True

Explanation:

True because of the law of conservation of mass, the same same amount of atoms will be on both sides of the reaction.

What is the name of the compound K3N

Answers

K3N is a compound known as Potassium Nitride. It’s composed of a Potassium ion (K+) and a Nitride ion (N3-).

A chemical compound is a material made up of several types of molecules. Therefore, potassium Nitride is the name of the compound K[tex]_3[/tex]N.

What is chemical compound?

A compound is indeed a substance that is composed of two or more separate chemical elements mixed in a defined ratio in chemistry. When the elements combine, they react and generate chemical connections that really are hard to break. These bonds occur as a result of atoms sharing or exchanging electrons.

A chemical compound is a material made up of several types of molecules (or molecular entities) that include atoms from much more than one chemical element and are bound together by chemical bonds. Potassium Nitride is the name of the compound K[tex]_3[/tex]N.

Therefore, potassium Nitride is the name of the compound K[tex]_3[/tex]N.

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true or false in a chemical reaction some of the atoms will be changed into different type of atoms​

Answers

Answer:

It's false

Explanation:

true or false
a. very little oxygen and nitrogen are found in air.
b. oxygen is the main cause of the formation of rust in iron.
c. impure air is odourless.
d. plants take in oxygen gas during respiration.
e. air contains water vapour. ​

Answers

Answer:

true or false

a. very little oxygen and nitrogen are found in air. false

b. oxygen is the main cause of the formation of rust in iron.   false

c.  impure air is odourless true

.d.  plants take in oxygen gas during respiration. true

e. air contains water vapour. ​true

Explanation:

the empirical mass is a whole number multiple of the molar mass true or false?​

Answers

Answer:

True

Explanation:

graph

1. You represented the allele for green peas with green clay and the allele for yellow peas with yellow clay. Are the alleles really these colors?

Answers

Answer:

pure-bred green with pure-bred yellow peas. Since yellow is dominant to green, all of the offspring were yellow. The green phenotype had disappeared. ... When a pure-bred green plant is crossed with a pure-bred yellow plant, the offspring inherit one allele of the color gene from each parent.

Explanation:

Ppbag at it again

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