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Question

Question: A first order reaction which is 30% complete in 30 minutes has a half-life period of....

A first order reaction which is 30% complete in 30 minutes has a half-life period of.

A

24.2 min

B

58.2 min

C

102.2 min

D

120.2 min

Answer

58.2 min

Explanation

Solution

k=2.303tlogaaxk = \frac{2.303}{t}\log\frac{a}{a - x}

0.693T=2.303tlog10010030\frac{0.693}{T} = \frac{2.303}{t}\log\frac{100}{100 - 30}

T=58.2\therefore T = 58.2min.