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Question

Question: Half-life period of a first order reaction is 10 min. what percentage of the reaction will be comple...

Half-life period of a first order reaction is 10 min. what percentage of the reaction will be completed in 100 min?

A

25%

B

50%

C

99.9%99.9\%

D

75%

Answer

99.9%99.9\%

Explanation

Solution

0.693t1/2=2.303tlogaax\frac{0.693}{t_{1/2}} = \frac{2.303}{t}\log\frac{a}{a - x}

0.69310=2.303tlog100100xx=99.9\frac{0.693}{10} = \frac{2.303}{t}\log\frac{100}{100 - x} \Rightarrow x = 99.9