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

Gaseous methane reacts with gaseous oxygen gas to produce gaseous carbon dioxide and gaseous water. If 0.809g of carbon dioxide is produced from the reaction of 0.80g of methane and 2.1g of oxygen gas, calculate the percent yield of carbon dioxide.

Be sure your answer has the correct number of significant digits in it.

Answers

Answer:

About 58%.

Explanation:

We first need to write the balanced chemical equation:

[tex]\displaystyle \text{CH$_4$(g)} + 2\text{O$_2$(g)} \longrightarrow \text{CO$_2$(g)} + 2\text{H$_2$O(g)}[/tex]

We are given that 0.809 g of carbon dioxide was produced from the reaction of 0.80 g of methane and 2.1 g of oxygen gas. We want to calculate the percent yield of carbon dioxide.

First, determine the limiting reagent. We can convert each initial mass to the mass of carbon dioxide using stoichiometry. The molar mass of methane is 16.05 g/mol and the molar mass of carbon dioxie is 44.01 g/mol. From the equation, every one mole of carbon dioxide is produced from every one mole of methane and every two moles of oxygen gas.

0.80 g of methane will (theoretically) produce:

[tex]\displaystyle \begin{aligned} 0.80 \text{ g CH$_4$} &\cdot \frac{1 \text{ mol CH$_4$}}{16.05 \text{ g CH$_4$}} \cdot \frac{1 \text{ mol CO$_2$}}{1 \text{ mol CH$_4$}} \cdot \frac{44.01 \text{ g CO$_2$}}{1 \text{ mol CO$_2$}} \\ \\ & = 2.2 \text{ g CO$_2$}\end{aligned}[/tex]

2.1 g of oxygen gas will (theoretically) produce:

[tex]\displaystyle \begin{aligned} 2.1 \text{ g O$_2$} & \cdot \frac{ 1 \text{ mol O$_2$}}{32.00 \text{ g O$_2$}} \cdot \frac{1 \text{ mol CO$_2$}}{2 \text{ mol O$_2$}}\cdot \frac{44.01 \text{ g CO$_2$}}{1 \text{ mol CO$_2$}} \\ \\ & = 1.4 \text{ g CO$_2$} \end{aligned}[/tex]

Hence, oxygen gas is the limiting reagent. A maximum of 1.4 g of carbon dioxide can be produced.

To calculate the percent yield, we divide the actual yield by the theoretical yield. The actual yield was 0.809 g and the theoretical yield is 1.4 g. Hence:

[tex]\displaystyle \begin{aligned} \%\text{Yield} & = \frac{\text{Actual}}{\text{Theoretical}} \times 100\% \\ \\ & = \frac{(0.809\text{ g CO$_2$})}{(1.4\text{ g CO$_2$})} \times 100\% \\ \\ & = 58\%\end{aligned}[/tex]

In conclusion, the percent yield of carbon dioxide is about 58%.

Which of the following could be classified as unleavened bread?

sourdough bread
muffins
tortilla
bagels

Answers

Answer:

Tortilla

Explanation:

Answer:

tortilla

Explanation:

A quantity of HCL ( 1.5*10⁻³ M) is added to water at 25°C to increase the hydrogen ion concentration from 1*10⁻⁷ to 1.5* 10⁻³ moles per liter. What is the new hydroxyl ion concentration?

Answers

Do you have a paper?

Which statements prove the law of conservation of matter (select all that apply)
a) burning a piece of paper
b) sugar dissolving into water
c) cookie dough is baked into a cookie
d) water evaporating in the water cycle which is an open system

Answers

d . Water evaporating in the water cycle is an open system

Answer:

It's all of the above.

Explanation:

I took the quiz.

2). How are simple carbohydrates, like glucose, used to build starches?​

Answers

Carbohydrates which include sugars and starches are the primary energy sources produced in plants and used by heterotrophic organisms.

Carbohydrates are composed of a basic chemical formula that typically contains a ratio of one Carbon atom for every two Hydrogen atoms and one Oxygen atom C1H2O1. Basically one carbon atom for every one water molecule Carbon + Water = Carbohydrate.

Monosaccharides or Single Carbon Chain Sugars include Glucose C6H12O6

Disaccharides or Double Carbon Chain Sugars include Sucrose C12H22O11

Combining monosaccharides and disaccharides create Polysaccharides which are complex sugars called starches.

An unknown substance has a boiling point of 174°C. Which statement is true about this unknown substance?
a) It has a higher boiling point than water, and it likely has stronger electrostatic forces between its molecules than water.
b) It has a higher boiling point than water, and it likely has weaker electrostatic forces between its molecules than water.
c) It has a lower boiling point than water, and it likely has weaker electrostatic forces between its molecules than water.
D) It has a lower boiling point than water, and it likely has stronger electrostatic forces between its molecules than water.

Answers

Answer:

It has a higher boiling point than water, and it likely has a stronger electrostatic forces between its molecules than water.

Explanation:

The unknown substance has a higher boiling point than water, and it likely has stronger electrostatic forces between its molecules than water.

What is the meaning of Boiling Point ?

The temperature at which a liquid's saturated vapour pressure equals the air pressure surrounding it is known as the boiling point.

It is given that an unknown substance has a boiling point of 174°C.

The boiling point of water is 100°C.

So the boiling point of the unknown substance is higher than that of water.

Higher boiling point signifies more heat required to break the bonds.

Higher boiling point means existence of strong non covalent bonds.

This means  it likely has stronger electrostatic forces between its molecules than water.

Therefore Option A is the correct answer.

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Heart, 5 stars, and Brainiest to first right answer!

Which of these is a likely impact of stronger than normal trade winds in the Pacific Northwest of the United States?
A. Jet stream would be displaced northwards causing drought
B. Jet stream would be displaced southwards causing drought
C. Jet stream would be displaced southwards causing heavy rain and flooding
D. Jet stream would be displaced northwards causing heavy rain and flooding

Answers

I think correct answer is C.Jet stream would be displaced southwards causing heavy rain and flooding

The statement that is a likely impact of stronger than normal trade winds in the Pacific Northwest to the United States is Jet stream would be displaced southwards causing heavy rain and flooding.

CO 2 is an element. true or false

Answers

Answer: false

Explanation:

f this helps typically an element wont have a 2 next to it, to see if something is an element or compound check for the element on the periodic table and see if the structure or name matches the one given to you on the question. for example here it is Co2 on the periodic table it's simply written as Co

co2 or carbon dioxide is a  compound not an element, you can even check this on the periodic table

Answer:

true

Explanation:

co2 is carbon dioxide

Hope this helps.

What makes a cyclone rotate counter-clockwise north of the Equator and clockwise south of the Equator?
1 Ocean currents
2 Coriolis Effect
3 the Jet Stream
4 Landscape differences

Answers

The Coriolis Effect (Core-nol-e-us)

The ocean currents move differently on both equator‘s so it makes the cyclones rotate different

what is the chemical formula of copper (ii) hyddroxide

Answers

Answer:

Cu(OH)₂

Explanation:

Hope that helps

Answer: The chemical formula is Cu(OH)₂

The person who answerers this will get 100 points pls answer all the question's

Answers

Answer:

I think that is the literal answer

What volume in liters of carbon dioxide will be produced by the reaction of 18.5 liters of oxygen gas at STP?
L CO2

C3H8(g) + 5 O2(g) --> 3 CO2(g) + 4 H2O(g)
**Report your answer to the correct number of significant digits!

Answers

Answer:

0.16 L

Explanation:

Step 1: Write the balanced equation

C₃H₈(g) + 5 O₂(g) → 3 CO₂(g) + 4 H₂O(g)

Step 2: Calculate the moles of CO₂ produced from 0.012 moles of O₂

The molar ratio of O₂ to CO₂ is 5:3. The moles of CO₂ produced are 3/5 × 0.012 mol = 0.0072 mol.

Step 3: Calculate the volume occupied by 0.0072 moles of CO₂ at standard temperature and pressure

At STP, 1 mole of CO₂ occupies 22.4 L.

0.0072 mol × 22.4 L/1 mol = 0.16 L

HOPE THAT HELP YOU mark me brinilylist

Y’all what’s this I don’t feel like doing it and I’ll give brainlist too

Answers

Answer:

2.Closed System: A closed system is a thermodynamic system where energy can be exchanged with its surrounding but not matter. Open System: Open systems can exchange matter with the surrounding. Closed System: Closed systems cannot exchange matter with the surrounding. Open System: The mass of the system will vary with time in open systems.

Explanation:

1.The particle model is the name for the diagrams used to draw solids, liquids and gases. In the model, the particles are shown as circles or spheres. However, the particles in ice, liquid water and steam look the same because they are all water, but in different states of matter. Why do we use the particle model in science?

3.An open system can be defined as a system which can exchange both matter and energy with the surrounding. For example, the earth can be recognized as an open system. In this case, the earth is the system, and space is the surrounding. Sunlight can reach the earth surface and we can send rockets to space.

If I place an egg in orange soda will it gain mass or lose mass?

Answers

Answer:

The soda or the egg?

Explanation:

The soda will gain but the egg will lose it may take a while though

Answer:

Gains Weight UwU

Explanation:

Which species has 54 electrons

Answers

Answer: Neutral Xe atom

The lab stockroom has a bottle of Sulfuric acid labeled 15.5M. How many mL of water will you need to add to 5.41mL of the acid solution in order to get a concentration of 0.175M?

Answers

The volume of water needed to make the solution is 473.76 mL

We'll begin by calculating the volume of the diluted solution.

Molarity of stock solution (M₁) = 15.5 MVolume of stock solution needed (V₁) = 5.41 mL Molarity of diluted solution (M₂) = 0.175 MVolume of diluted solution (V₂) =?

M₁V₁ = M₂V₂

15.5 × 5.41 = 0.175 × V₂

83.855 = 0.175 × V₂

Divide both side by 0.175

V₂ = 83.855 / 0.175

V₂ = 479.17 mL

Finally, we shall determine the volume of water needed.

Volume of stock solution needed (V₁) = 5.41 mLVolume of diluted solution (V₂) = 479.17 mLVolume of water =?

Volume of water = V₂ – V₁

Volume of water = 479.17 – 5.41

Volume of water = 473.76 mL

Therefore, the volume of the water needed is 473.76 mL

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Seeds Roots Cones Stem Spores Leaves 1. Mongo 2. Moss 3. Ferns 4. Pine Tree 5. Guava 6. Mango 7. Coconut 8. Katakataka 9. Potato 10. Okra 14​

Answers

The method of propagation of the given organisms is shown below:

1. Mongo ---> seeds

2. Moss ---> spores

3. Ferns ---> stem

4. Pine Tree ---> cones

5. Guava ---> seeds

6. Mango ---> seeds

7. Coconut ---> seeds

8. Katakataka ---> leaves

9. Potato ---> stem

10. Okra ---> seeds

Definition of reproduction

Repr0duction is the process by which living organisms produce young ones of their kind.

Repr0duction can either involve two parents through the joining of male and female gametes to produce a zygote i.e. seeds in plants and embryo in animals or can involve only one parent and occurs through vegetative parts such as roots, stem, or leaves.

List of organisms and their propagation parts

The table below gives organisms and their propagation parts:

1. Mongo ---> seed

2. Moss ---> spores

3. Ferns ---> stem

4. Pine Tree ---> cones

5. Guava ---> seeds

6. Mango ---> seeds

7. Coconut ---> seeds

8. Katakataka ---> leaves

9. Potato ---> stem

10. Okra ---> seeds

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What kind of intermolecular forces act between two chloramine (NH2CI) molecules?

Answers

Explanation:

brain and heart froce acts between two chloramine

Answer:

Dispersion, Hydrogen-bonding, and Dipole forces act between two chloramine (NH2CI) molecules.

Explanation:

Dispersion is exerted between all molecules. Chloramine is polar, therefore dipole forces are present. The molecular geometry of chloramine (NH2Cl) is a trigonal pyramidal, therefore hydrogen-bonding forces are present.

How many moles are in 50 g of CO2

Answers

Answer:

1.1 mol

Explanation:

n=m/M, where n is moles, m is mass, and M is molar mass.

M of CO2 = 12.01+16.00+16.00 = 44.01g/mol

n=50g/44.01g/mol

n = 1.13610543 mol

n ≈ 1.1 mol

Hope that helps

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.

To know more about molecular geometry, visit;

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pa help thank yoeee <3333 ​

Answers

Answer:

1.c

2.c

3.a

4.b

5.a

i think that's the answer

given the reaction 4Na(s) +O2 -> 2Na2O How many grams of Na2O can form from 3.0g of Na? use these molecular weight Na=23g/mole and O = 16g / mole​

Answers

No. of moles = mass / molecular weight
n = m / Mr
n = 3 g / 23 g/mol
n = 0.13 mol / 4
n = 0.0326 mol

Mr of Na2O = 23+23+16 = 62 g/mol

n = 0.0326 mol x 2 (because you have 2x Na2O) = 0.0652 mol

m = n x Mr
m = 0.0652 mol x 62 g/mol
m = 4.04 g

please help me and promise I will mark as brainiest I need it in ISEF please
how much energy does the vehicle hydrogen fuel cell need to break hydrogen into ions ?! ​

Answers

Answer: A typical hydrogen fuel cell produces 0.5 V to 0.8 V per cell. To increase the voltage individual cells can be connected in series.

Oxygen-15 decays through the release of a beta particle. Draw what the nucleus would look like after a beta particle is emitted. What element does it become?

Answers

When oxygen -15 nucleus undergoes beta emission, it is transformed into Fluorine - 15 nucleus.

Beta decay is said to occur when a neutron is converted to a proton. This process leads to the emission of en electron. The neutron - proton ratio decreases and the atomic number of the daughter nucleus is greater than that of the parent nucleus by one  unit.

Hence, when oxygen -15 nucleus undergoes beta emission, it is transformed into Fluorine 15 nucleus.

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a solid substance a is soluble in water to the extent of 10 mg/ml of water at 25oc and 100 mg/ml of water at 100oc. you have a sample that contains 100 mg of a and 25 mg of an impurity b. a and b have the same solubility behavior. if one 10ml portion of water was used for the recrystallization, what was the % recovery of a

Answers

Answer:

join the provisonal IRA and help free and unite ireland

Explanation:

fight aganst the english oppressors and free ireland

erinn go braugh

452 grams of ammonium carbonate are dissolved to make 1050 mL of solution. What is the molarity of the solution?
Do not forget significant figures. Write your final answer with no units.

Answers

Answer:

1050-452 = 598, the liquid is more than the ammonium chloride so it is the majority

Mole problems. See the image for reference. Please show your work.

Answers

Sorry you’ll need to attach an image

What is the most soluble in water? iconic, covalent, metallic or nonmetallic

Answers

Iconic is most soluble in water

PLEASE PLEASE HELP! CHEM!

Answers

Answer:

0.963158 maybe just put 0.96

Explanation:

732mmhg to atm is 0.963158 i looket it up sorry if I am wrong

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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