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Question

Chemistry Question on Chemical Kinetics

75% of a first order reaction was completed in 32 minutes. When was 50% of the reaction completed

A

16 minutes

B

24 minutes

C

8 minutes

D

4 minutes..

Answer

16 minutes

Explanation

Solution

k=2.303tlog10(aax)k=\frac{2.303}{t}log_{10} \left(\frac{a}{a-x}\right)
k=2.303tlog(10010075)....(i)k=\frac{2.303}{t}log \left(\frac{100}{100-75}\right)....(i)
k=2.303tlog(10010050).....(ii)k= \frac{2.303}{t}log \left(\frac{100}{100-50}\right).....(ii)
From the two eqns. (i) and (ii),
t = 16 minutes.