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Question

Chemistry Question on Chemical Kinetics

What will be the half-life period of a first order reaction with rate constant k=5.5×1014s1k=5.5 \times 10^{-14} s^{-1} ?

A

1.26×1013s1.26\times 10^{13}s

B

2.16×1013s2.16\times 10^{13}s

C

1.26×1013s1.26\times 10^{-13}s

D

2.16×1013s2.16\times 10^{-13}s

Answer

1.26×1013s1.26\times 10^{13}s

Explanation

Solution

For the first order reaction, t1/2=0.693k\because t_{1 / 2}=\frac{0.693}{k} =0.6935.5×1014s1\therefore=\frac{0.693}{5.5 \times 10^{-14} s^{-1}} t1/2=1.26×1013st_{1 / 2}=1.26 \times 10^{13} s