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Given the following balanced equation,determine the rate of reaction with respect to [O2]. 2O3(g) ? 3O2(g)


A) Rate = - 2Δ[O2]Δt\frac { 2 \Delta \left[ \mathrm { O } _ { 2 } \right] } { \Delta t }
B) Rate = - 23\frac { 2 } { 3 } Δ[O2]Δt\frac { \Delta \left[ \mathrm { O } _ { 2 } \right] } { \Delta t }
C) Rate = + 13\frac { 1 } { 3 } Δ[O2]Dt\frac { \Delta \left[ \mathrm { O } _ { 2 } \right] } { \mathrm { D } t }
D) Rate = + 3Δ[O2]Δt\frac { 3 \Delta \left[ \mathrm { O } _ { 2 } \right] } { \Delta t }
E) It is not possible to determine the answer without more information.

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Which of the following represents the equation for a zero-order half-life?


A) t1/2=1k[ A]0t 1 / 2 = \frac { 1 } { k [ \mathrm {~A} ] _ { 0 } }
B) t1/2=0.693kt 1 / 2 = \frac { 0.693 } { k }
C) t1/2=[A]02kt 1 / 2 = \frac { [ \mathrm { A } ] _ { 0 } } { 2 k }
D) t1/2=2k[ A]0t 1 / 2 = \frac { 2 k } { [ \mathrm {~A} ] _ { 0 } }
E) t1/2=k[ A]0t 1 / 2 = \frac { k } { [ \mathrm {~A} ] _ { 0 } }

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A reaction with an activation energy of 61.0 kJ mol-1 has a rate constant of 0.0345 L mol-1 s-1 at 301 K.What is the rate constant at 401 K?


A) 1.92 L mol-1 s-1
B) 7.90 × 10-5 L mol-1 s-1
C) 0.0445 L mol-1 s-1
D) 0.345 L mol-1 s-1
E) 15.1 L mol-1 s-1

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Calculate the temperature if a reaction has a rate constant,k,of 1234 s-1,a frequency factor,A,of 1.34 × 1014 s-1,and an activation energy,Ea,of 79.6 kJ mol-1.


A) 298 K
B) 341 K
C) 377 K
D) 418 K
E) 447 K

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The decomposition of N2\mathrm { N } _ { 2 } O5\mathrm { O } _ { 5 } in solution in carbon tetrachloride proceeds via the reaction 2N2O5 (soln) ? 4NO24 \mathrm { NO } _ { 2 } (soln) + O2\mathrm { O } _ { 2 } (soln) The reaction is first order and has a rate constant of 4.82 × 10310 ^ { - 3 } s1s ^ { - 1 } at 64 °C.If the reaction is initiated with 0.073 mol in a 1.00 L vessel,how many moles remain after 151 s?


A) 0.077 mol
B) 0.053 mol
C) 0.038 mol
D) 15 mol
E) 0.035 mol

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The decomposition of dinitrogen pentoxide is described by the chemical equation 2N2O5(g) → 4NO2(g) + O2(g) . If the rate of disappearance of N2O5 is equal to 1.60 mol min-1 at a particular moment,what is the rate of appearance of NO2 at that moment?


A) 0.800 mol min-1
B) 1.60 mol min-1
C) 3.20 mol min-1
D) 6.40 mol min-1

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The first-order decomposition of N2O5 at 328 K has a rate constant of 1.70 × 10-3 s-1.If the initial concentration of N2O5 is 2.88 mol L-1,what is the concentration of N2O5 after 12.5 minutes?


A) 0.124 mol L-1
B) 0.805 mol L-1
C) 2.82 mol L-1
D) 0.355 mol L-1
E) 0.174 mol L-1

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Given the following balanced equation,determine the rate of reaction with respect to [NH3]. N2(g) + 3H2(g) ? 2NH3(g)


A) Rate = + 2Δ[NH3]Δt\frac { 2 \Delta \left[ \mathrm { NH } _ { 3 } \right] } { \Delta t }
B) Rate = - 2Δ[NH3]Δt\frac { 2 \Delta \left[ \mathrm { NH } _ { 3 } \right] } { \Delta t }
C) Rate = + 12\frac { 1 } { 2 } Δ[NH3]Δt\frac { \Delta \left[ \mathrm { NH } _ { 3 } \right] } { \Delta t }
D) Rate = - 12\frac { 1 } { 2 } Δ[NH3]Δt\frac { \Delta \left[ \mathrm { NH } _ { 3 } \right] } { \Delta t }
E) It is not possible to determine the answer without more information.

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Which of the following represents the integrated rate law for a first-order reaction?


A) ln[A]t[ A]0=kt\ln \frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } = - k t
B) 1[ A]t1[ A]0=kt\frac { 1 } { [ \mathrm {~A} ] _ { t } } - \frac { 1 } { [ \mathrm {~A} ] _ { 0 } } = k t
C) [A]t - [A]0 = -kt
D) k = Ae(-Ea/RT)
E)
lnk2k1=EaR(1T) +lnA\ln \frac { k _ { 2 } } { k _ { 1 } } = \frac { E _ { \mathrm { a } } } { R } \left( \frac { 1 } { T } \right) + \mid \ln \mathrm { A }

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The first-order decay of radon has a half-life of 3.823 days.How many grams of radon decomposes after 5.55 days if the sample initially weighs 100.0 grams?


A) 83.4 g
B) 16.6 g
C) 50.0 g
D) 36.6 g
E) 63.4 g

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Derive an expression for a "1/4-life" for a first-order reaction.


A) ln[A]t[ A]0k\frac { \ln \frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } } { - k }
B) 0.347k\frac { 0.347 } { k }
C) ln[A]t[ A]04k\frac { \ln \frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } } { - 4 k }
D) 4k\frac { 4 } { k }
E) 1.386k\frac { 1.386 } { k }

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What is the activation energy for a reaction that has a rate constant of 1.087 L mol-1 s-1 at 273 and 12.99 L mol-1 s-1 at 373 K?


A) 48.6 kJ mol-1
B) 18.4 kJ mol-1
C) 37.9 kJ mol-1
D) 12.7 kJ mol-1
E) 21.0 kJ mol-1

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Without performing complex calculations,determine the order of a reaction that has the following initial rates for the specified starting concentration: [A](molL1)  Initial Rate (molL1 s1) 0.200.2500.400.5000.600.750\begin{array} { l | l } { [ \mathrm { A } ] \left( \mathrm { mol } \mathrm { L } ^ { - 1 } \right) } & \text { Initial Rate } \left( \mathrm { mol } \mathrm { L } ^{- 1} \mathrm {~s} ^ { - 1 } \right) \\\hline 0.20 & 0.250 \\0.40 & 0.500 \\0.60 & 0.750\end{array}


A) zero order
B) first order
C) second order
D) third order
E) impossible to determine

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Calculate the frequency factor,A,for a reaction with a rate constant of 7834 s-1 and an activation energy,Ea,of 68.4 kJ mol-1 at 305 K.


A) 4.1 × 103 s-1
B) 8.1 × 103 s-1
C) 8.1 × 1015 s-1
D) 4.1 × 1015 s-1
E) 1.0 × 104 s-1

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Which of the following is the characteristic of a zero-order reaction having only one reactant?


A) The rate of the reaction is not proportional to the concentration of the reactant.
B) The rate of the reaction is proportional to the square of the concentration of the reactant.
C) The rate of the reaction is proportional to the square root of the concentration of the reactant.
D) The rate of the reaction is proportional to the natural logarithm of the concentration of the reactant.
E) The rate of the reaction is directly proportional to the concentration of the reactant.

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The rate constant for a zero-order reaction is 0.54 L mol-1 s-1.What is the half-life of this reaction if the initial concentration is 0.27 mol L-1?


A) 2.0 s
B) 5.0 s
C) 0.25 s
D) 6.9 s
E) 1.3 s

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What is the unit of k in a zero-order reaction?


A) mol L-1 s-1
B) mol L-1 s
C) L mol-1 s-1
D) M2 s-1
E) s-1

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A reaction with an activation energy of 71.6 kJ mol-1 has a rate constant of 5.30 × 10 -6 L mol-1 s-1 at 298 K.At what temperature will the rate constant be 0.530 L mol-1 s-1?


A) 461 K
B) 410 K
C) 310 K
D) 495 K
E) 328 K

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Which of the following represents the integrated rate law for a zeroth-order reaction?


A) ln[A]t[ A]0=kt\ln \frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } = - k t
B)
1[ A]t1[ A]0=kt\frac { 1 } { [ \mathrm {~A} ] _ { t } } - \frac { 1 } { [ \mathrm {~A} ] _ { 0 } } = k t
C) [A]t - [A]0 = -kt
D) k = Ae(-Ea/RT)
E) lnk2k1=EaR(1T) +lnA\ln \frac { k _ { 2 } } { k _ { 1 } } = \frac { E _ { \mathrm { a } } } { R } \left( \frac { 1 } { T } \right) + \ln \mathrm { A }

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For a reaction,what generally happens if the temperature is increased?


A) a decrease in k occurs,which results in a faster rate
B) a decrease in k occurs,which results in a slower rate
C) an increase in k occurs,which results in a faster rate
D) an increase in k occurs,which results in a slower rate
E) there is no change to either k or the rate

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