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Question

Under the same reaction conditions, 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 respectivley. Ratio (k1k0) of the rate constant for first order (k1) and zero order (k0) of the reaction is:

A
0.5 mol1dm3
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B
1 mol dm3
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C
1.5 mol dm3
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D
2 mol1dm3
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Solution

The correct option is C 0.5 mol1dm3
t1/2=0.693k1, t1/2=a02k0
40=0.693k1, 20=1.3862k0=0.693k0
2040=0.693/k00.693/k1=k1k0
k1k0=0.5sec1moldm3sec1=0.5mol1dm3

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