Question 18 of 20 Map General Chemistr University Science Books presented by Sap
ID: 981491 • Letter: Q
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Question 18 of 20 Map General Chemistr University Science Books presented by Sapling Learning Donald McQuarrie. Peter A. Rock Ethan Gallogly For each of the following cases, identify the order with respect to the reactant, A. Case (A products Order Number The half-life of A increases as the initial concentration of A decreases Number A threefold increase in the initial concentration of A leads to a ninefold increase in the initial rate. Number A threefold increase in the initial concentration of A leads to a 1.73-fold increase in the initial rate. Number The time required for [A] to decrease from CAlo to [Alo/2 is equal to the time required for [A] to decrease from [Alo/2 to [Alo/4. Number The rate of decrease of CA] is a constant. A Previous Give Up & View Solution Check Answer Next DI Exit HintExplanation / Answer
As for n th order reaction half life t1/2 is proportional to 1/[A0]n-1
Hence for a zero order reaction with increase in concentration of the reactant there will be increase in t1/2.
For a first order reaction t1/2 will be independent of the concentration of A.
Whereas for a second order reaction with decrease in concentration of A, t1/2 will increase.
Even for a third order reaction with decrease in the concentration of A, t1/2 will increase even more.
2. In this case the order of the reaction will be 2.
rate= k [Ao]2
if you increase the [Ao] three folds then, rate = k [3Ao]2 = 9 k[Ao]2
so the rate increases 9 folds...
3. In this case the order of the reaction is 0.5.
rate = k [Ao]1/2
if you increase the [Ao] three folds then, rate = k [3Ao]1/2 = 1.79 k[Ao]1/2
4. In fact in this case the half life remains constant, does not depend on the initial concentration of A, so the reaction is first order.
5. A zero order reaction.
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