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For the first order reaction, XY the time taken for 90% completion of the reaction is 666 minutes. Time taken for 75% completion of the reaction will be ------ minutes

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a
600
b
400
c
540
d
450

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detailed solution

Correct option is B

t90%t50%=2.303K log 100100-902.303K log 100100-50; t90%t50%=1 log 2 t90%=3.33t50%; t50%=6663.33=200 minutes ; Conclusion :       t99.9%=10t50%;        t75%=2t50%;     t87.5%=3t50%;   t93.75%=4t50%; t 96.875%=5t50%;

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