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Question: The half life period of a first order chemical reaction is 6.93 minutes. Time required for the compl...

The half life period of a first order chemical reaction is 6.93 minutes. Time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301) :

A

23.03 minutes

B

46.06 minutes

C

460.6 minutes

D

230.3 minutes

Answer

46.06 minutes

Explanation

Solution

In first order reaction for X% complation

0.693t1/2=2.303tlog(10010090)\frac{0.693}{t_{1/2}} = \frac{2.303}{t}\log\left( \frac{100}{100 - 90} \right)

=0.6936.93=2.303×2t= \frac{0.693}{6.93} = \frac{2.303 \times 2}{t}

So, t = 46.06 min.