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For the overall reaction A + 2B ? C, which of the following mechanisms yields the correct overall chemical equation and is consistent with the rate equation below? Rate = k[A][B]


A) A + B \rightleftharpoons I (fast)
I + A ? C (slow)
B) A + B ? I (slow)
I + B ? C (fast)
C) 2B ? I (slow)
A + I ? C (fast)
D) 2B \rightleftharpoons I (fast)
I + A ? C (slow)
E) A + 2B \rightleftharpoons I (fast)
I + B ? C + B (slow)

F) All of the above
G) B) and D)

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For the second-order reaction below, the initial concentration of reactant A is 0.24 M. If the rate constant for the reaction is 1.5 × 10-2 M-1s-1, what is the concentration of A after 265 seconds? 2A → B + C Rate = k[A]2


A) 0.12 M
B) 0.19 M
C) 0.95 M
D) 4.0 M
E) 5.2 M

F) None of the above
G) A) and E)

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The reaction kinetics for a certain reaction are studied over several temperatures. Which of the following is/are not effected by a change in reaction temperature?


A) the reaction rate
B) the rate constant, k
C) the energy of activation, Ea
D) a and b
E) a, b, and c

F) A) and C)
G) A) and D)

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Which of the given relationships correctly compares the rates of the reactants and products for the reaction below? 2 NOCl(g) ? 2 NO(g) + Cl2(g)


A) Δ[NOCl]Δt=Δ[NO]Δt+Δ[Cl2]Δt- \frac { \Delta [ \mathrm { NOCl } ] } { \Delta t } = \frac { \Delta [ \mathrm { NO } ] } { \Delta t } + \frac { \Delta \left[ \mathrm { Cl } _ { 2 } \right] } { \Delta t }
B) Δ[NOCl]Δt=Δ[NO]Δt=Δ[Cl2]Δt\frac { \Delta [ \mathrm { NOCl } ] } { \Delta t } = \frac { \Delta [ \mathrm { NO } ] } { \Delta t } = \frac { \Delta \left[ \mathrm { Cl } _ { 2 } \right] } { \Delta t }
C) 12Δ[NOCl]Δt=12Δ[NO]Δt=Δ[Cl2]Δt- \frac { 1 } { 2 } \frac { \Delta [ \mathrm { NOCl } ] } { \Delta t } = \frac { 1 } { 2 } \frac { \Delta [ \mathrm { NO } ] } { \Delta t } = \frac { \Delta \left[ \mathrm { Cl } _ { 2 } \right] } { \Delta t }
D) 2Δ[NOCl]Δt=2Δ[NO]Δt=Δ[Cl2]Δt\frac { - 2 \Delta [ \mathrm { NOCl } ] } { \Delta t } = \frac { 2 \Delta [ \mathrm { NO } ] } { \Delta t } = \frac { \Delta \left[ \mathrm { Cl } _ { 2 } \right] } { \Delta t }
E) Δ[NOCl]Δt=ΔtΔ[NO]=ΔtΔ[Cl2]\frac { \Delta [ \mathrm { NOCl } ] } { \Delta t } = \frac { \Delta t } { \Delta [ \mathrm { NO } ] } = \frac { \Delta t } { \Delta \left[ \mathrm { Cl } _ { 2 } \right] }

F) A) and E)
G) D) and E)

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The rate constant of a first-order decomposition reaction is 0.0147 s-1. If the initial concentration of reactant is 0.178 M, what is the concentration of reactant after 30.0 seconds?


A) 8.72 × 105 M
B) 0.0645 M
C) 0.115 M
D) 0.0785 M
E) 0.643 M

F) A) and E)
G) A) and C)

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Termolecular elementary steps are rare. Why?

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A termolecular elementary step requires ...

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For a certain overall second-order reaction with the general form aA → products, the initial rate of reaction is 0.50 M·s−1 when the initial concentration of the reactant is 0.27 M. What is the rate constant for this reaction?


A) 0.039 M-1·s−1
B) 6.9 M-1·s−1
C) 0.50 M-1·s−1
D) 0.54 M-1·s−1
E) 25 M-1·s−1

F) B) and E)
G) A) and E)

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The reaction of NO and O2 produces NO2. 2 NO(g) + O2(g) ? 2 NO2(g) The reaction is second-order with respect to NO(g) and first-order with respect to O2(g) . At a given temperature, the rate constant, k, equals 4.7 × 102 M-2s-1. What is the rate of reaction when the initial concentrations of NO and O2 are 0.025 M and 0.015 M, respectively?


A) 2.6 × 10-3 M/s
B) 4.4 × 10-3 M/s
C) 0.18 M/s
D) 2.0 × 10-8 M/s
E) 3.8 × 102 M/s

F) B) and C)
G) A) and E)

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Hydrogen peroxide decomposes into water and oxygen in a first-order process. H2O2(aq) ? H2O( \ell ) + 1/2 O2(g) At 20.0 °C, the half-life for the reaction is 3.92 × 104 seconds. If the initial concentration of hydrogen peroxide is 0.52 M, what is the concentration after 7.00 days?


A) 1.2 × 10-5 M
B) 0.034 M
C) 0.074 M
D) 0.22 M
E) 0.52 M

F) A) and C)
G) B) and E)

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Carbon dating may be used to date (once living) materials that are between 100 and 40,000 years old. The half-life of the first-order decay of carbon-14 is 5730 years. What percentage of carbon-14 remains in a sample after 40,000 years.

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What is the half-life of the first-order reaction if it takes 4.4 × 10-2 seconds for a concentration to decrease from 0.50 M to 0.20 M?


A) 2.5 × 10-2 s
B) 3.3 × 10-2 s
C) 1.6 s
D) 21 s
E) 27 s

F) A) and E)
G) D) and E)

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Which of the following statements is true of the Arrhenius equation?


A) The factor eEa/RTe ^ { - E a / R T } always has a value more than 1.
B) Ea represents the fraction of molecules having the minimum energy required for a reaction.
C) It can be used to calculate Ea from the temperature dependence of the rate constant.
D) It can be used to calculate the rate constant if eEa/RTe ^ { - E a / R T } is known.
E) The factor eEa/RTe ^ { - E a / R T } always has a value more than 10.

F) B) and E)
G) All of the above

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Which of the following statements is correct for the first-order reaction: A → 2B?


A) The concentration of A decreases linearly with respect to time.
B) The concentration of A is constant with respect to time.
C) The natural logarithm of the concentration of A decreases linearly with respect to time.
D) The rate of reaction is constant with respect to time.
E) The rate constant, k, of the reaction decreases linearly with respect to time.

F) B) and E)
G) A) and C)

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For the reaction A ? B + C, which of the following equations corresponds to the integrated expression for a second-order decomposition reaction?


A) [A]t=kt+[A]0[ \mathrm { A } ] _ { t } = - k t + [ \mathrm { A } ] _ { 0 }
B) ln[A]t[ A]0=kt\ln \frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } = - k t
C) ln[A]t=ln[kt]+ln[A]0\ln [ \mathrm { A } ] _ { t } = \ln [ - k t ] + \ln [ \mathrm { A } ] _ { 0 }
D) [A]t[ A]0=kt\frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } = - k t
E) 1[ A]t=kt+1[ A]0\frac { 1 } { [ \mathrm {~A} ] _ { t } } = k t + \frac { 1 } { [ \mathrm {~A} ] _ { 0 } }

F) A) and E)
G) C) and E)

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