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Question

# Under the same reaction conditions, the initial concentration of 1.386 mol dmâˆ’3 of a substance becomes half in 40 s and 20 s 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
0.5mol 1dm3
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B
1.0mol dm3
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C
1.5mol dm3
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D
2.0mol 1dm3
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Solution

## The correct option is A 0.5mol −1dm3 For the first order reaction, rate constant k1=0.693t1/2=0.69340 For zero order reaction, rate constant k0=A02×t1/2=1.3862×20 Hence, k1k0=0.6931.386=0.5

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