Reaction Orders Summary A. [ vs. t data Order Test Plot . Test plots . Getting v

Question

Reaction Orders Summary A. [ vs. t data Order Test Plot . Test plots . Getting value of k . How half-life changes as rxn Change Slope of test plot if linear in half- life proceeds B. Initial [] and Initial Rate data Order If [ Jo doubles then Rateo 2 How change in initial concentration affects initial rate How to get value of k Order If [ lo doubles then half- life Equation C. Initial [] and half-life data How change in initial [] affects half-life . How to get value of k D. Equations relating [A] (reactant

Explanation / Answer

A. is the substrate of the reaction.[A] denotes the concentration of A.

For ZERO order reaction

Rate = k

THus the integrated rate law is [At] = [A0] - kt and the linear plot of [A] vs t will give the slope having the value -k.

The half life is 1/2 [A0] k which is dependent of the initial concentration of [A]. thus the t-half will decrease on the course of reaction.

For FIRST order reaction

rate = k[A] and the integrated rate law is ln[At]-ln[Ao] = -kt and the slope of ln[A] vs t will give the rate constant.

The t-half is 0.693/k which is independent of the concentration of A , hence doesnt change.

For SECOND order reaction

rate = k[A]^2 and the integrated rate law is 1/[At] - 1/[A0] = kt and the plot of 1/[A] vs t will give a slope of k (the rate constant).THe t-half is 1/k[A0] which shows that as the reaction proceeds the reaction half life increases ( as the [A0] decreases.)

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