For each of the following cases, identify the order with respect to the reactant

Question

For each of the following cases, identify the order with respect to the reactant, A Case (A products) Order click to edit Number The half-life of A decreases as the initial concentration of A decreases. Number A twofold increase in the initial concentration of A leads to a fourfold increase in the initial rate Number A twofold increase in the initial concentration of A leads to a 1.41-fold increase in the initial rate. Number The time required for [A] to decrease from [Alo to [Alo/2 is equal to the time required for [A] to decrease from [Alo/2 to [A]o/4. Number The rate of decrease of IAl is a constant.

Explanation / Answer

A)

if half life depends on initial concentration, cna't be 1st order, since it is independent

HL (2) = 1/(k*[A]0)

HL (0) = [A]0/2k

then... decrease in HL when [A]0 dereases, must be ZERO order

b)

Rate = k*[A]^2

if [a] increases by 2, then rat eincreases by 4

this must be 2nd order

c)

Rate= k*[A]^x

ln(1.41) = ln(2)^x

x = ln(1.41) /ln(2) = 0.5 order

d)

if times are equal, independent of [A]0 then, this is FIRST order

e)

if Rat eis constant, then zero order

Rate = k

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