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Question

Question: A first order reaction requires 30 minutes for 50% completion. The time required to complete the rea...

A first order reaction requires 30 minutes for 50% completion. The time required to complete the reaction by 75% will be.

A

45 minutes

B

15 minutes

C

60 minutes

D

None of these

Answer

60 minutes

Explanation

Solution

k=0.69330=0.0231k = \frac{0.693}{30} = 0.0231 ; t=2.303klog(10010075)t = \frac{2.303}{k}\log\left( \frac{100}{100 - 75} \right)

t=2.3030.0231log4=60minutest = \frac{2.303}{0.0231}\log 4 = 60\text{minutes}