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Q.

A flask contains a mixture of compounds A and B. Both compounds decompose by fist order kinetics. The half-lives for A and B are 300 s and 180 s, respectively. If the concentrations of A and B are equal initially, the time required for the concentration of A to be four times that of B (in S) is. (Use In 2=0.693 )

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a

180

b

120

c

300

d

900

answer is C.

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Detailed Solution

Ak =A0 e-k1t 4x =A0 e-k1t   A0 =B0 x =80 ×e-k2t 4 =e-k1+k2t ln4 =(k2-k1)t t =lny(k2-k1) =2×0.6830.693(1180-1300)

.t =900

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