Q: Which of the following correctly expresses the rate of the reaction $$aA + bB \rightarrow cC + dD in $$terms of the change in concentration of each species?

$$\text{Rate} = -\frac{1}{a} \frac{d[A]}{dt} = -\frac{1}{b} \frac{d[B]}{dt} = \frac{1}{c} \frac{d[C]}{dt} = \frac{1}{d} \frac{d[D]}{dt}$$

Question 1

For the reaction $$2 \mathrm{O}_3(g) \rightarrow 3 \mathrm{O}_2(g)$$, if the average rate of disappearance of ozone is $$0.040\ \mathrm{M/s}$$, what is the rate of appearance of $$\mathrm{O}_2$$ during the same interval?

Accepted Answer

$$0.060\ \mathrm{M/s}$$

Question 2

Which of the following correctly expresses the rate of the reaction $$aA + bB \rightarrow cC + dD in $$terms of the change in concentration of each species?

Accepted Answer

$$	ext{Rate} = -\frac{1}{a} \frac{d[A]}{dt} = -\frac{1}{b} \frac{d[B]}{dt} = \frac{1}{c} \frac{d[C]}{dt} = \frac{1}{d} \frac{d[D]}{dt}$$

Question 3

A reaction is found to be first order in reactant A. Which of the following is the correct differential rate law for this reaction?

Accepted Answer

$$	ext{Rate} = k[A]$$

Question 4

Which statement best describes the method of initial rates for determining the order of a reaction?

Accepted Answer

It involves measuring the initial rate of reaction at different initial concentrations of reactants to determine how the rate depends on concentration.

Question 5

For a zero-order reaction $$A \rightarrow B$$, which of the following is the correct integrated rate law?

Accepted Answer

$$[A]_t = [A]_0 - kt$$

Question 6

A reaction has the following rate law: $$	ext{Rate} = k[$$CHCl_3$$][Cl_2$]^0. If $$the concentration of $$CHCl_3 is $$doubled and $$Cl_2 is $$kept constant, what happens to the rate?

Accepted Answer

The rate doubles.

Question 7

The isomerization of cyclopropane to propene is first order with $$k = 3.36 	imes 10$$^{-5}$$\ \mathrm{s}^{-1} at$$ $$720\ \mathrm{K}. If $$the initial concentration is $$0.0445\ \mathrm{M}$$, what is the concentration after $$235.0$$ minutes?

Accepted Answer

$$0.0096\ \mathrm{M}$$

Question 8

A first order reaction has a half-life of $$26.4$$ seconds. How long does it take for the concentration of the reactant to fall to one-eighth of its initial value?

Accepted Answer

$$79.2$$ seconds

Question 9

Which of the following best defines the integrated rate law?

Accepted Answer

An equation that expresses the concentration of a reactant as a function of time.

Question 10

For a second order reaction $$A \rightarrow$$ products, which of the following is the correct integrated rate law?

Accepted Answer

$$\frac{1}{[A]_t} = \frac{1}{[A]_0} + kt$$

Question 11

Which of the following statements about the average rate and instantaneous rate of a reaction is correct?

Accepted Answer

The average rate is measured over a finite time interval, while the instantaneous rate is the rate at a specific moment.

Question 12

In the reaction $$H_2O_2 (aq) + 3 I^- (aq) + 2 H^+ (aq) \rightarrow I_3$^- (aq) + 2 H_2O (l)$$, if the rate of disappearance of $$I^- is$$ $$0.0132\ \mathrm{M/s}$$, what is the rate of appearance of $$I_3$$^-$$?

Accepted Answer

$$0.0044\ \mathrm{M/s}$$

Question 13

Which of the following is NOT a correct statement about rate laws?

Accepted Answer

The exponents in the rate law are always equal to the stoichiometric coefficients.

Question 14

A reaction is second order in A. If the initial concentration of A is $$0.50\ \mathrm{M}$$ and the rate constant $$k = 0.20\ \mathrm{M}^{-1}\mathrm{s}^{-1}$$, what is the concentration of A after $$5.0$$ seconds?

Accepted Answer

$$0.20\ \mathrm{M}$$

Question 15

Which of the following is a correct statement about the units of the rate constant $$k$$ for a first order reaction?

Accepted Answer

$$\mathrm{s}^{-1}$$

Question 16

If a reaction is zero order in reactant A, what happens to the rate if the concentration of A is doubled?

Accepted Answer

The rate remains unchanged.

Question 17

Which of the following best describes a real-world application of reaction kinetics?

Accepted Answer

The rate of drug metabolism in the human body affects how often medication must be administered.

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