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

How do you out pizza the hut?

Answers

Awnser : you can’t. Pizza Hut can’t be outfitted

How do plants use the energy from the sunlight?

Answers

Answer:

Hey mate....

Explanation:

This is ur answer....

Plants use a process called photosynthesis to make food. During photosynthesis, plants trap light energy with their leaves. Plants use the energy of the sun to change water and carbon dioxide into a sugar called glucose. Starch is stored in seeds and other plant parts as a food source.

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

Plants use photosynthesis to convert sun light into their own food to consume. Green plants use this light energy to change water and carbon dioxide into oxygen and nutrients called sugars. The plants use some of the sugars and store the rest. The oxygen is released into the air.

A 33.4−L volume of methane gas is heated from 22°C to 66°C at constant pressure. What is the final volume of the gas?

Answers

Answer:

38.38 L (3 d.p.)

Explanation:

In response to questions addressing the expansion of gas via heating, Charles's Law should be considered. Charles's Law is an experimental gas law explaining the tendency of gases to expand when heated.

The law states that the volume ([tex]V[/tex])  of a gas is directly proportional to its temperature ([tex]T[/tex]) given that the pressure ([tex]P[/tex]) and the amount of gas ([tex]N_{A}[/tex]) are constant.

[tex]\displaystyle\frac{V}{T} \ = \ k \ \ \ \ \ \ \ or \ \ \ \ \ \ \ V \ = \ kT[/tex], where k is a proportionality constant.

*Note that when substituting temperature into the equation, the temperature must be in terms of the Kelvin scale and not in degrees Celsius. The relation between the Kelvin scale and the Celsius scale is  [tex]\mathrm{K} \ = \ ^{\circ}\mathrm{C} \ + \ 273[/tex].

Charles's law can be used to compare changing conditions of a particular gas. Let  [tex]V_{1}[/tex]  and  [tex]T_{1}[/tex]  be the initial volume and temperature for the gas, while  [tex]V_{2}[/tex]  and  [tex]T_{2}[/tex]  be the final volume and temperature. The mathematical relationship of Charles's law becomes:

[tex]\displaystyle\frac{V_{1}}{T_{1}} \ = \ \displaystyle\frac{V_{2}}{T_{2}}[/tex].

In accordance with the question,

[tex]V_{1} \ = \ 33.4 \ \mathrm{L}, \ T_{1} \ = \ (22 \ + \ 273) \ \mathrm{K} \ = \ 295 \mathrm{K}, \ T_{2} \ = \ (66 \ + \ 273) \ \mathrm{K} \ = \ 339 \ \mathrm{K}[/tex]

while  [tex]V_{2}[/tex]  is the final volume of the gas that we would like to find. Therefore,

[tex]V_{2} \ = \ \displaystyle\frac{V_{1} \ \times \ T_{2}}{T_{1}} \\ \\ V_{2} \ = \ \displaystyle\frac{33.4 \ \mathrm{L} \ \times \ 339 \ \mathrm{K}}{295 \ \mathrm{K}} \\ \\ V_{2} \ = \ 38.38 \ \mathrm{L}[/tex].

What does Bromine-80 decays by beta decay to?



Answers

Answer:

beta to Kr-80 or Se-80

Explanation:

sorry if wrong

soaps do not work well in hard waters. But they can still be effected it large quantities of soap are added to water. Explain why.​

Answers

The minerals in hard water react with soap and affect its cleaning capacity. It's still possible to use hard water when washing by using more soap. The additional soap will no longer be affected by the minerals in the water, so they can clean just as effectively, but you'll be wasting more soap this way.

How to find total mass of water in final solution

Answers

Answer:

Explanation:

Just like a solid, the density of a liquid equals the mass of the liquid divided by its volume; D = m/v. The density of water is 1 gram per cubic centimeter.

How many theoretical plates produce a chromatography peak eluting at 12.83 min with a width at half-height of 8.7 s

Answers

Answer-Figure P38.63a
is a three-dimensional sketch of a birefringent crystal. The dotted lines illustrate how a thin, parallefaced slab of material could be cut from the larger specimen with the crystal’s optic axis parallel to the faces of the plate.”


Sorry if it’s it correct

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

Will the following replacement reaction occur? MgCl2 + I2 → ?
Yes, it will because chlorine is less reactive than iodine.
No, it will not because iodine is less reactive than chlorine.
No, it will not because iodine and chlorine will not bond.
Yes, it will because the iodine will replace the magnesium.

Answers

The replacement reaction will not occur because iodine is less reactive than chlorine.

REPLACEMENT REACTION:

A replacement reaction is a type of reaction in which one element is replaced by another in a compound.

The principle behind one element replacing the other is based on the reactivity of an element. A more reactive element will displace a less reactive one.

According to this question, the following displacement reaction is given: MgCl2 + I2 → ?

This reaction will not occur because chlorine is more reactive/electronegative than iodine, hence, iodine cannot displace it.

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Why would other scientist want to see observations from your three trials

Answers

Answer:

When we do multiple trials of the same experiment, we can make sure that our results are consistent and not altered by random events and are reliable. Multiple trials can be done at one time. E.g. If we were testing a new fertilizer, we could test it on lots of individual plants at the same time.

Hope that helped.x

the weak base ionization constant (ka) for h2c2o4 is equal to what?

Answers

The acid ionization constant is the quantitative measure of the acidic strength. For oxalic acid, Ka = [H⁺] [HC₂O₄⁻] / [H₂C₂O₄]

What is acid dissociation?

Acid dissociation (Ka) is the ratio of the concentration of the conjugate base and hydrogen ion to the concentration of the chemical.

Oxalic acid is a weak acid and gets dissociated as:

H₂C₂O₄ ⇌ H⁺ + HC₂O₄⁻

or

HC₂O₄⁻ ⇌ H⁺ + C₂O₄²⁻

The acid ionization constant for the reactant and the product is given as:

Ka = [H⁺] [A⁻] / [HA]

Ka = [H⁺] [HC₂O₄⁻] / [H₂C₂O₄]

Therefore, the ionization constant for oxalic acid is given as Ka = [H⁺] [HC₂O₄⁻] / [H₂C₂O₄]

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If you add the same amount of heat to two different substances, will they both change phase?

Answers

Answer:

It depends on their melting and/or their boiling points, because the heat provides the particles with kinetic energy to break the electrosatic bonds in the substances, which can differ in strength

Explanation:

How many K are in 32 o C?

Answers

Answer:

273.15 Kelvins

Explanation:

Hope this helps !!!

Calculate the weight of a 1 kg object on Earth which has a gravitational acceleration of 9.8 m/s2?



A. 0.1 kg


B. 9.8 kg


C. 10.8 N


D. 9.8 N

Answers

Mass (m) = 1 KgAcceleration due to gravity (g) = 9.8 m/s^2We know, weight = mass × acceleration due to gravity.Therefore, weight of the object

[tex] = 1kg \: \: \times 9.8 {ms}^{ - 2} \\ = 9.8 \: \: N[/tex]

Answer:

B. 9.8 N

Hope you could get an idea from here.

Doubt clarification - use comment section.

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:

I have a hard time telling the difference between convection, conduction, and radiation, anybody got any tips?

Answers

Conduction
In conduction, heat transfer takes place between objects by direct contact.

Convection

In convection, the heat transfer takes within the fluid.

Radiation

In radiation, heat transfer occurs through electromagnetic waves without involving particles.

pa help po science po​​

Answers

Answer:

1. molecule, cell, tissue, organ, organ system, organism, population, community, ecosystem, biosphere

2. A

3. D

4. C

5. C

6. C

7. C

8. B

9. Sorry I don't know :(

10. B

11. A

12. C

13. Sorry :((

14. C

15. a

16. d

Sorry I don't know the rest.. I hope this helps though!!

Pls answer this question

Answers

Answer:

A carbon dioxide and oxygen

The density of crystalline cl2 at 160K is 2.02g/cm3. calculate the molar volumes

Answers

molar volumes of the density of crystalline is 60

The molar volume (Vm) is the volume occupied by one mole of a chemical element or chemical compound at standard temperature and pressure (STP). The molar volume of Cl₂ is 35.10 cm³/mol.

One mole of any gas has a defined volume when it is at a particular temperature and pressure. The relationship between molar mass and molar volume is direct and inverse, respectively.

Two gases have equal molecules if their volumes are the same at a given temperature and pressure. A gas's volume is directly proportional to the number of moles it contains. One mole of any gas takes up 22.4 L of space at STP.

The expression used to calculate molar volume is:

Molar volume = Molar mass / Density

The molar mass of Cl₂ = 70.906 g/mol

Molar volume = 70.906 / 2.02

Molar volume = 35.10 cm³/mol

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Why was the war in Peru difficult?

Answers

Answer:

in contrast, peru and Bolivia entered the war hindered by numerous domestic fractures and by an economic and insititutional backwardness that nearly prevented the two countries from fighting the war at all

please help
write the correct IUPAC name for these componds

Answers

Answer:

A. 4,6-dimethyloct-1,4,6-yne

B. deconic acid

C. 3-ethyl-4-methyl-7-bromocyclohexene

D. 2,2,3-trimethyl-4-butyl-heptane

E. 3-methylhexane

F. ethyl hexanoate

G. butanal

H. propyne

J. 2,4-dimethyl-pent-2-ene

Explanation:

sorry i didn't have time to do I

Producers are the most numerous group in an ecosystem. Why?
-------------------------------------------------------------------------------------------------
Producers produce food energy for themselves and all the other levels. ⬜

Soil and temperature conditions in an ecosystem always favor producers. ⬜

As energy flows through the ecosystem, some energy is added at each step. ⬜

There is more room for small organisms than there is for large ones. ⬜

Answers

Answer:

The primary producer uses some of that energy. Because we lose energy each time we move up a trophic level, we have more producers than consumers, more herbivores than carnivores, more primary consumers than secondary consumers. See this Socratic answer for more detail.

Explanation:

Answer:

Producers produce food energy for themselves and all the other levels

Explanation:

need little help pls

Answers

Answer:

0.354 molal

Explanation:

The molarity (M) or the concentration of a solution is defined as the number of moles of a compound in the solution per liter of solution (mol/L), whereas molality, is defined as the number of moles of a compound in the solution per kg of the compound (mol/kg).

Given that the density of the solution is 1.202 g/mL, which is equivalent to 1.202 kg/L. Since the prefix mili- denotes a factor of one thousandth ( [tex]10^{-3}[/tex] ) and kilo- denotes a factor of one thousand ( [tex]{10}^3[/tex] ),

[tex]1.202 \ \frac{g}{mL} \ = \ 1.202 \ \frac{g}{(10^{-3}) L} \ = \ 1.202 \ \frac{{10}^3g}{L} \ = \ 1.202 \ \frac{kg}{L}[/tex].

To calculate the corresponding molality of the solution, the formula

[tex]Molality \ (mol/kg) \ = \ \frac{Molarity \ (mol/L)}{Density \ (kg/L)}[/tex] is used.

Therefore,

[tex]Molality \ = \ \frac{0.426 \ mol/L}{1.202 \ kg/L} \ = \ 0.354 \ mol/kg \ \ (3 \ s.f.)[/tex]

Please give help and label them giving brainiest

Answers

Answer:

huh

Explanation:

Consider a box divided in half. One side is filled with 1 mol Ne at 300. Kelvin, and the other is filled with 1 mol Rn at 300. Kelvin. A small hole is opened in the divider between the sides, allowing the gases to mix. Suppose it takes 4.0 minutes for the Rn pressure to equilibrate between the two sides. How long (min) will it take the Ne pressure to equilibrate? Enter your answer to 1 decimal place.

Answers

It will take the Ne gas approximately 1.2 s to equilibrate between the two sides.

We know that the time taken for a gas to diffuse is dependent on the molar mass of the gas. This is one of the interpretations of Graham's law of diffusion in gases. Thus, Let;

t1 = time taken for Rn to equilibrate = 4.0 s

t2 = time taken for Ne to equilibrate = ?

M1 = molar mass of Rn = 222g/mol

M2 = molar mass of Ne = 20 g/mol

Using

t1/t2 = √M1/M2

4/t2 = √222/20

4/t2 = 3.33

t2 = 4/3.33

t2 = 1.2 seconds

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The ion of aluminum is

Al+

Al2-


Al2+


Al3+


Al3-

Answers

Answer:

A13+

Explanation:

I took a test that had this question.

How is the atomic mass of an element related to a mole?
O A. The atomic mass, in grams, is the mass of 6.02 x 1023 moles.
O B. The atomic mass, in grams, is the mass of 6.02 x 1023 electrons.
O C. The atomic mass, in grams, is the mass of one mole of atoms.
O D. The atomic mass, in grams, is the mass of one mole of protons.

Answers

Answer:

i the answer to your question should be C

Explanation:

Hope this helps!

The atomic mass of an element related to a mole in grams, is the mass of one mole of atoms. Therefore, option C is correct.

What is an atomic mass ?

An atom's mass is its atomic mass. Although the kilogramme is the SI measure of mass, the unified atomic mass unit, or dalton, is a common way to express atomic mass. An unbound carbon-12 atom in its ground state has a mass of 112 of a Da.

A mass that is one-twelfth the mass of an atom of carbon-12 is known as an atomic mass unit. Any isotope of any element's mass is represented in terms of the carbon-12 reference standard.

The size of an atom is indicated by its atomic mass. Technically speaking, an atom's mass is the total weight of its protons, neutrons, and electrons.

Thus, option C is correct.

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Nitrogen H2 has :

a)Double bonds

b)Bounded by 6 electrons

c) The bond is ionic

d) Can forms der Waals bonds

e) B& d​

Answers

Answer:

the bond is ionic

Explanation:

Van der Waals bonds initiate
a) Between non-metals
b) Within ionic binds
c) Between metals
d) With H-bond
e) All of the above​

Answers

I think e no

I am giving you hint

I figured it out no problem

Answers

Answer:

good job ;0

Explanation:

Thank you kind sir your a god beyond my eyes
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