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Question

A reactant with initial concentration 1.386 mol litre1 showing first order change takes 40 minutes to become half. If it shows zero-order change taking 20 minutes to becomes half under the similar conditions, the ratio, K1K0 for the first order and zero order kinetics will be:

A
1.0mollitre
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B
0.5mol1litre
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C
1.5mollitre
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D
None of these
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Solution

The correct option is B 0.5mol1litre
For 1st order, (t1/2)1=0.693K1
For zero order, (t1/2)0=a2K0
K1K0×1.3862×0.693=(t1/2)0(t1/2)1
K1K0=20×2×0.69340×1.386=0.5mol1litre

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