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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

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The decomposition of formic acid follows first-order kinetics. HCO2H(g) → CO2(g) + H2(g) The half-life for the reaction at 550°C is 24 seconds.How many seconds does it take for the formic acid concentration to decrease by 87.5%?


A) 24 s
B) 36 s
C) 48 s
D) 72 s
E) 96 s

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For the second-order reaction below,the rate constant of the reaction is 9.4 × 10-3 M-1s-1.How much time (in seconds) is required to decrease the concentration of A from 2.16 M to 0.40 M? 2 AB rate =k[ A]22 \mathrm{~A} \rightarrow \mathrm{B} \quad\quad\quad\quad\quad \text { rate }=k[\mathrm{~A}]^{2}


A) 2.0 × 101 s
B) 7.8 × 101 s
C) 1.8 × 102 s
D) 1.9 × 102 s
E) 2.2 × 102 s

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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+BI (fast)  I+AC (slow)  \begin{array}{l}\mathrm{A}+\mathrm{B} \rightleftharpoons \mathrm{I} &\text { (fast) } \\\mathrm{I}+\mathrm{A} \rightarrow \mathrm{C} &\text { (slow) }\end{array}
B)
A+BI (slow)  I+BC (fast)  \begin{array}{l}\mathrm{A}+\mathrm{B} \rightarrow \mathrm{I} &\text { (slow) } \\\mathrm{I}+\mathrm{B} \rightarrow \mathrm{C} &\text { (fast) }\end{array}
C)
2 BI (slow)  A+IC (fast)  \begin{array}{l}2 \mathrm{~B} \rightarrow \mathrm{I} &\text { (slow) } \\\mathrm{A}+\mathrm{I} \rightarrow \mathrm{C} &\text { (fast) }\end{array}
D)
2 BI (fast)  I+AC (slow)  \begin{array}{l}2 \mathrm{~B} \rightleftharpoons \mathrm{I}& \text { (fast) } \\\mathrm{I}+\mathrm{A} \rightarrow \mathrm{C} &\text { (slow) }\end{array}
E)
A+2 BI (fast)  I+BC+B (slow)  \begin{array}{l}\mathrm{A}+2 \mathrm{~B} \rightleftharpoons \mathrm{I} &\text { (fast) } \\\mathrm{I}+\mathrm{B} \rightarrow \mathrm{C}+\mathrm{B} &\text { (slow) }\end{array}

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For the reaction A + 2B ? C,the rate law is Δ[C]Δt=k[ A]2×[B]\frac{\Delta[\mathrm{C}]}{\Delta t}=k[\mathrm{~A}]^{2} \times[\mathrm{B}] . What are the units of the rate constant where time is measured in seconds?


A) 1 mol/Ls\frac{1}{\mathrm{~mol} / \mathrm{L} \cdot \mathrm{s}}
B) 1( mol/L) 2s\frac{1}{(\mathrm{~mol} / \mathrm{L}) ^{2} \cdot \mathrm{s}}
C) 1 s\frac{1}{\mathrm{~s}}
D) (mol/L) 2 s\frac{(\mathrm{mol} / \mathrm{L}) ^{2}}{\mathrm{~s}}
E) molLs\frac{\mathrm{mol}}{\mathrm{L} \cdot \mathrm{s}}

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The rate constant at 373 K for a certain reaction is 8.29 × 10−4 s−1 and the activation energy is 12.0 kJ/mole.What is the value of the constant,A,in the Arrhenius equation?


A) 0.00832 s−1
B) 0.0398 s−1
C) 0.120 s−1
D) 0.998 s−1
E) 25.1 s−1

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Which equation is used to calculate the half-life of the second-order equation below? 2 AB rate =k[ A]22 \mathrm{~A} \rightarrow \mathrm{B} \quad\quad\quad\quad\quad\quad\quad \text { rate }=k[\mathrm{~A}]^{2}


A) t1/2=1k[A]0t_{1 / 2}=\frac{1}{k[A]_{0}}
B) t1/2=ln(2) k[A]0t_{1 / 2}=\frac{\ln (2) }{k[A]_{0}}
C) t1/2=ln(2) kt_{1 / 2}=\frac{\ln (2) }{k}
D) t1/2=ln(2) [A]0t_{1 / 2}=\frac{\ln (2) }{[A]_{0}}
E) t1/2=k2[A]0t_{1 / 2}=\frac{k}{2[A]_{0}}

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For the second-order reaction below,the initial concentration of A is 1.00 M.If the concentration of A is reduced to 0.43 M after 75 seconds,what is the rate constant? 2 AB rate =k[ A]22 \mathrm{~A} \rightarrow \mathrm{B} \quad\quad\quad\quad\quad \text { rate }=k[\mathrm{~A}]^{2}


A) 5.2 × 10?4 L/mol?s
B) 5.7 × 10?3 L/mol?s
C) 7.6 × 10?3 L/mol?s
D) 1.1 × 10?2 L/mol?s
E) 1.8 × 10?2 L/mol?s

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The rate constant for the decomposition of cyclobutane is 2.08 × 10−2 s−1 at high temperatures. C4H8(g) → 2C2H4(g) How many seconds are required for an initial concentration of 0.100 M C4H8(g) to decrease to 0.0450 M?


A) 0.00114 s
B) 1.07 s
C) 2.64 s
D) 38.4 s
E) 874 s

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D

Which equation is used to calculate the half-life of the zero-order equation below? A2 B \mathrm{A} \rightarrow 2 \mathrm{~B} \quad \quad \quad \quad \quad \quad \quad rate =k =k


A) t1/2=12kt_{1 / 2}=\frac{1}{2 k}
B) t1/2=[A]0kt_{1 / 2}=\frac{[\mathrm{A}]_{0}}{k}
C) t1/2=[A]02kt_{1 / 2}=\frac{[A]_{0}}{2 k}
D) t1/2=k[ A]0t_{1 / 2}=\frac{k}{[\mathrm{~A}]_{0}}
E) t1/2 = k

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The elementary steps for the catalyzed decomposition for dinitrogen monoxide are shown below.Identify the catalyst. NO(g) + N2O(g) → N2(g) + NO2(g) 2NO2(g) → 2NO(g) + O2(g)


A) NO(g)
B) N2O(g)
C) N2(g)
D) NO2(g)
E) O2(g)

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For the first-order reaction below,the initial concentration of A is 0.240 M.If the concentration of A decreases to 0.0800 M after 21.8 hours,what is the half-life of the reaction? AB \mathrm{A} \rightarrow \mathrm{B} \quad \quad \quad \quad \quad rate =k[ A] =k[\mathrm{~A}]


A) 0.0504 hrs
B) 1.28 hrs
C) 7.26 hrs
D) 10.4 hrs
E) 13.8 hrs

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E

What did Henry Eyring develop that changed how scientists study rates of reactions?


A) The catalyst model
B) The transition-state model
C) The liquid-state model
D) The temperature dependence model
E) The enzyme model

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For the second-order reaction below,the concentration of product B after 132 seconds is 0.0281 M.If the initial concentration of A is 0.932 M,what is the rate constant? 2 AB rate =k[ A]22 \mathrm{~A} \rightarrow \mathrm{B} \quad\quad\quad\quad\quad \text { rate }=k[\mathrm{~A}]^{2}


A) 1.43 × 10?5 L/mol?s
B) 4.71 × 10?4 L/mol?s
C) 5.22 × 10?4 L/mol?s
D) 6.63 × 10?3 L/mol?s
E) 96.4 L/mol?s

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Nitrogen dioxide reacts with carbon monoxide to produce nitrogen monoxide and carbon dioxide. 2NO2(g) NO3(g) +NO(g) (fast,equilibrium) NO3(g) +CO(g) NO2(g) +CO2(g) (slow) \begin{array}{l}2 \mathrm{NO}_{2}(g) \rightleftharpoons \mathrm{NO}_{3}(g) +\mathrm{NO}(g) &(fast, equilibrium) \\\mathrm{NO}_{3}(g) +\mathrm{CO}(g) \rightarrow \mathrm{NO}_{2}(g) +\mathrm{CO}_{2}(g) &(slow) \end{array} What is a rate law that is consistent with the proposed mechanism?


A) rate = k[NO2]2×[CO]× [NO]-1
B) rate = k[NO2]2×[CO]
C) rate = k[NO2]×[CO]
D) rate = k[NO3]×[CO]
E) rate = k[NO2]2

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At a high temperature,the first-order decomposition of N2O5(g) produces NO2(g) and O2(g) .If the initial concentration of 0.400 M N2O5(g) is reduced to 0.169 M after 118 seconds,what is the rate constant for the reaction?


A) 1.96 × 10−3 s−1
B) 2.29 × 10−3 s−1
C) 4.37 × 10−3 s−1
D) 7.30 × 10−3 s−1
E) 1.37 × 102 s−1

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A first-order reaction has a half-life of 4.54 seconds.How much time is required for the reactant to be reduced to 6.25% of its initial concentration?


A) 1.14 s
B) 9.08 s
C) 13.6 s
D) 18.2 s
E) 93.6 s

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The reaction A → B follows first-order kinetics with a half-life of 21.7 hours.If the concentration of A is 0.023 M after 48.0 hours,what is the initial concentration of A?


A) 0.0050 M
B) 0.051 M
C) 0.51 M
D) 0.11 M
E) 2.0 × 102 M

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The correct form of the Arrhenius equation is


A) Ea = Ae?k/RT
B) k=AeEa/RTk=A e^{-E_{a} / R T}
C) k=AeRT/Eak=A e^{-R T / E_{a}}
D) Ea = Aek/RT
E) A = Eae?k/RT

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What is the half-life of a first-order reaction if the rate constant is 6.2 × 10-3 s-1?


A) 8.9 × 10-3 s
B) 0.097 s
C) 5.77 s
D) 1.1 × 102 s
E) 1.6 × 102 s

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D

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