Part A The reactant concentration in a zero-order reaction was 8.00×102 M after

Question

Part A The reactant concentration in a zero-order reaction was 8.00×102 M after 200 s and 3.50×102 M after 390 s . What is the rate constant for this reaction?

Part B What was the initial reactant concentration for the reaction described in Part A?

Part C The reactant concentration in a first-order reaction was 9.20×102 M after 45.0 s and 8.80×103 M after 95.0 s . What is the rate constant for this reaction?

Part D The reactant concentration in a second-order reaction was 0.770 M after 260 s and 1.40×102 M after 770 s . What is the rate constant for this reaction?

Explanation / Answer

Part A) For zero order reaction,

rate constant = k = -(3.50 x 10^-2 - 8 x 10^-2)/(390 - 200) = 2.37 x 10^-4 M/s

Part B) Initial concentration [Ao]

[Ao] = 8 x 10^-2 + 2.37 x 10^-4 x 200 = 0.1274 M

Part C) For first order reaction,

rate constant = k = -slope

rate constant = -slope = -(ln(8.80 x 10^-3) - ln(9.20 x 10^-2))/(95 - 45) = 0.047 s-1

Part D) For a second order reaction,

rate contant = k = slope = (1/1.40 x 10^-2 - 1/0.770)/(770 - 260) = 0.1375 M-1.s-1

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