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Q.

For a reaction, A→B+C, it was found that at the end of 10 minutes from the start, the total optical rotation of the system was 50o and when the reaction is complete, it was 100o. Assuming that only B and C are optically active and dextrorotatory. Calculate the rate constant of this first order reaction

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a

k=0.695 min⁡−1

b

k=0.0693 sec⁡−1

c

k=0.0693 min⁡−1

d

k=0.00693 sec⁡−1

answer is C.

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Detailed Solution

r10=50o,  r∞=100o,  r0=0∴ k=2.30310log⁡100−0100−50=0.0693 min⁡−1
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For a reaction, A→B+C, it was found that at the end of 10 minutes from the start, the total optical rotation of the system was 50o and when the reaction is complete, it was 100o. Assuming that only B and C are optically active and dextrorotatory. Calculate the rate constant of this first order reaction