Exam #2

25 July 2022
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question
Which rate law is termolecular? -rate = k[A][B] -rate = k[A]^2 -rate = k[A]^2[B] -rate = k[A] -rate = k[A][B][C][D]
answer
rate = k[A]^2[B]
question
What are the units of k in the following rate law? Rate = k[X][Y]^1/2
answer
M^-1/2 s^-1
question
The combustion of ethylene proceeds by the reaction C2H4(g) + 3 O2(g) β†’ 2 CO2(g) + 2 H2O(g) When the rate of disappearance of O2 is 0.13 M s^-1, the rate of appearance of CO2 is ________ M s^-1.
answer
0.087
question
How many half-lives are required for the concentration of reactant to decrease to 12.5% of its original value?
answer
3
question
What are the units of k in the following rate law? Rate = k[X][Y]^3
answer
1/(M^3 s)
question
What is the rate law for the elementary step Cl + CO β†’ ClCO?
answer
The generic chemical equation of the elementary step is A + B β†’ products. The elementary step is bimolecular. The rate law for the bimolecular elementary step is Rate=k[A][B]. The correct law for Cl + CO β†’ ClCO is the following: Rate=k[Cl][CO]
question
What is the overall order of the following reaction, given the rate law? 2NO(g) + H2(g) β†’ N2(g) + 2 H2O(g) Rate = k[NO]^2[H2]
answer
3rd Order
question
Describe catalyst and its function. Check all that apply. -A catalyst is a substance that is not used up during a reaction. -A catalyst does not affect the products obtained in the reaction. -A catalyst is a substance that is used up during a reaction. -A catalyst changes the pathway of the reactants to products in a way that reduces the activation energy and speeds up the reaction. -A catalyst does not change the pathway of the reactants to products in a way that reduces the activation energy and lowers the speed of the reaction. -A catalyst affects the products obtained in the reaction.
answer
-A catalyst is a substance that is not used up during a reaction. -A catalyst does not affect the products obtained in the reaction. -A catalyst changes the pathway of the reactants to products in a way that reduces the activation energy and speeds up the reaction.
question
The data below were collected for the following reaction: CH3Cl(g) + 3Cl2(g) β†’ CCl4(g) + 3HCl(g) [CH3Cl](M) [Cl2](M) Initial rate (M/s) 0.050 0.050 0.014 0.100 0.050 0.029 0.100 0.100 0.041 0.200 0.200 0.115 -Choose an expression for the reaction rate law. -Calculate the value of the rate constant, k. -What is the overall order of the reaction?
answer
-rate=k[CH3Cl][Cl2]^1/2 -k = 1.3 M^βˆ’1/2 s^βˆ’1 -n = 1.5
question
Given the following proposed mechanism, predict the rate law for the overall reaction. A2 + 2 B β†’ 2 AB (overall reaction) Mechanism A2 β‡Œ 2 A fast A + B β†’ AB slow
answer
Rate = k[A2]^1/2[B]
question
Given the following balanced equation, determine the rate of reaction with respect to [O2]. 2O3(g) β†’ 3 O2(g)
answer
Rate = +1/3 Ξ”[O2]/Ξ”t
question
A first-order reaction has a half-life of 27.8 s . How long does it take for the concentration of the reactant in the reaction to fall to one-eighth of its initial value?
answer
t = 83.4 s
question
Consider the equation for the decomposition of NO2, NO2(g)β†’NO(g)+O(g) The graph of 1/[NO2] versus time (s) is 1/[NO2] = 0.225x +100 Use the graph and the best fitting line to predict the concentration of NO2 at 1900 s.
answer
1.7Γ—10^βˆ’3 M
question
Which statement is true regarding the function of a catalyst in a chemical reaction? -A catalyst provides an alternate mechanism for the reaction in which the rate-determining step has a higher activation energy. -Enzymes are biological catalysts capable of decreasing the rate of specific biochemical reactions by many orders of magnitude. -A catalyst is consumed by the reaction. -A catalyst increases the rate of a reaction.
answer
A catalyst is a substance that increases the rate of a chemical reaction but is not consumed by the reaction.
question
The rate constant for a first-order reaction is 0.54 s^-1. What is the half-life of this reaction if the initial concentration is 0.27 M?
answer
1.3s
question
What happens to the concentrations of reactants and products during a chemical reaction?
answer
The concentration of reactants decreases and the concentration of products increases during a chemical reaction.
question
A decomposition reaction has a half-life that is directly proportional to the initial concentration of the reactant. What is the order of the reaction?
answer
The half-life of a zero-order reaction is directly proportional to the initial concentration of the reactant.
question
For a particular reaction in which A β†’ products, doubling the concentration of A causes the reaction rate to double. What is the order of the reaction?
answer
1
question
The elementary reaction 2NO2(g) β†’ 2 NO(g) + O2(g) is second order in NO2 and the rate constant at 720 K is 2.88 Γ— 10^1 M^-1 s^-1. The reaction half-life at this temperature when [NO2]0 = 0.45 M is ________ s.
answer
0.077
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The reaction X β†’ products is second order in X and has a rate constant of 0.035 M^βˆ’1 s^βˆ’1. If a reaction mixture is initially 0.80 M in X, what is the concentration of X after 120. seconds?
answer
0.18M
question
Reaction A and reaction B have identical frequency factors. However, reaction B has a higher activation energy than reaction A. Which reaction has a greater rate constant at room temperature?
answer
Reaction A has a faster rate because it has a lower activation energy; therefore, the exponential factor is larger at a given temperature, making the rate constant larger. (With a larger rate constant and the same initial concentration, the rate is faster.)
question
The following reaction is first order in N2O5: N2O5(g) β†’ NO3(g) + NO2(g) The rate constant for the reaction at a certain temperature is 0.053/s. -Calculate the rate of the reaction when [N2O5]= 5.2Γ—10^βˆ’2 M. -What would the rate of the reaction be at the same concentration as in Part A if the reaction were zero order?
answer
-rate = 2.8Γ—10^βˆ’3 M/s -rate = 5.3Γ—10^βˆ’2 M/s
question
Consider the following reaction: O3(g)β†’O2(g)+O(g) Using the results of the Arrhenius analysis (Ea=93.1 kJ/mol and A=4.36Γ—1011 Mβ‹…s^βˆ’1), predict the rate constant at 303 K .
answer
3.88 Γ— 10^βˆ’5 L/(molβ‹…s)
question
Given the following rate law, how does the rate of reaction change if the concentration of Y is doubled? Rate = k[X][Y]^2
answer
The reaction will increase by a factor of 4.
question
Determine the rate law and the value of k for the following reaction using the data provided. 2N2O5(g) β†’ 4NO2(g) + O2(g) [N2O5]i (M) Initial Rate (M/s) 0.093 4.84 Γ— 10^-4 0.186 9.67 Γ— 10^-4 0.279 1.45 Γ— 10^-3
answer
Rate = 5.2 Γ— 10^-3 s^-1 [N2O5]
question
Which of the following represents the integrated rate law for a first-order reaction? -1/[A]o βˆ’ 1/[A]t = βˆ’kt -ln(k1/k2) = ln(Ea/R)(1T) + lnA -k = Ae^(Ea/RT) -[A]o βˆ’ [A]t= βˆ’kt -ln([A]t/[A]o) = βˆ’kt
answer
ln([A]t/[A]o) = βˆ’kt
question
A particular first-order reaction has a rate constant of 1.35 Γ— 102 s^-1 at 25.0Β°C. What is the magnitude of k at 75.0Β°C if Ea = 64.5 kJ/mol?
answer
5.69 Γ— 10^3 s^-1
question
The reaction between nitrogen dioxide and carbon monoxide is NO2(g)+CO(g)β†’NO(g)+CO2(g) The rate constant at 701 K is measured as 2.57 M^βˆ’1β‹…s^βˆ’1 and that at 895 K is measured as 567 M^βˆ’1β‹…s^βˆ’1. Use the value of the activation energy (Ea=1.50Γ—10^2 kJ/mol) and the given rate constant of the reaction at either of the two temperatures to predict the rate constant at 495 K.
answer
k = 4.78Γ—10^βˆ’5 M^βˆ’1β‹…s^βˆ’1
question
The rate constant of a reaction is measured at different temperatures. A plot of the natural log of the rate constant as a function of the inverse of the temperature (in kelvins) yields a straight line with a slope of βˆ’8.35 Γ— 10^3 K. What is the activation energy (Ea) for the reaction?
answer
69.4 kJ
question
The mechanism shown here is proposed for the gas phase reaction, O2 + 2NO(g)β†’2NO2. 2NO2NO β‡Œk1/k-1 N2O2 Fast O2+N2O2β†’2NO2 Slow What rate law does the mechanism predict?
answer
Using the slow step, rate= k[O2][N2O2]. The intermediates cannot appear in the rate law, so use the first step to determine k1[NO]2=kβˆ’1[N2O2]. Substituting into the initial equation, rate=k[O2][N2O2] = k1/kβˆ’1 [O2][NO]^2 = k[O2][NO]^2.
question
The following reaction was monitored as a function of time: ABβ†’A+B A plot of 1/[AB] versus time yields a straight line with slope 5.9Γ—10^βˆ’2 (Mβ‹…s)^βˆ’1. -What is the value of the rate constant (k) for this reaction at this temperature? -Write the rate law for the reaction. -What is the half-life when the initial concentration is 0.51 M? -If the initial concentration of AB is 0.220 M, and the reaction mixture initially contains no products, what are the concentrations of A and B after 80 s?
answer
-k = 5.9Γ—10^βˆ’2 M^βˆ’1 s^βˆ’1 -Rate = k[AB]^2 -t1/2 = 33 s -[A],[B] = 0.11,0.11 M
question
Identify an homogeneous catalyst. -Pd with methane -H2SO4 with concentrated HCl -SO2 over vanadium (V) oxide -Pt in H2 gas -N2 catalyzed by Fe
answer
H2SO4 with concentrated HCl