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Question

Under the same reaction conditions, the initial concentration of 1.386 mol dm3 of a substance becomes half in 40 seconds and 20 seconds through first order and zero order kinetics, respectively.

The ratio (k1/k0) of the rate constants for first order (k1) and zero order (k0)of the reaction is


A
0.5
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B
1.0
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C
1.5
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D
2.0
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Solution

The correct option is A 0.5

For the first order reaction,the rate constant

k1=0.693t1/2=0.69340

For zero order reaction, the rate constant

k0=A02×t1/2=1.3862×20

Hence,

k1k0=0.6931.386=0.5

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