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Question

The reaction A(aq)B(aq)+C(aq) is monitored by measuring optical rotation of reaction mixture at different time interval. The species A, B and C are optically active with specific rotations 20,30 and 40 respectively. Starting with pure A if the value of optical rotation was found to be 2.5 after 6.93 minutes and optical rotation was 5 after infinite time. Find the rate constant for the first-order conversion into A into B and C:

A
0.1min1
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B
0.2min1
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C
0.3min1
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D
0.4min1
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Solution

The correct option is D 0.1min1
As after completion of the reaction rotation is 5So according to first order reactionk=2.303log(r0r)/(rtr)/6.93=0.1/min

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