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Question

Chemistry Question on Chemical Kinetics

The rate constant for a first order reaction whose half-life, is 480 s480\, s is:

A

2.88×10−3s−1 2.88\times 10^{-3}s^{-1}

B

2.72×10−3s−1 2.72\times 10^{-3}s^{-1}

C

1.44×10−3s−1 1.44\times 10^{-3}s^{-1}

D

1.44 s−1 1.44\,s^{-1}

Answer

1.44×10−3s−1 1.44\times 10^{-3}s^{-1}

Explanation

Solution

We know that t1/2=0.693kt_{1 / 2} =\frac{0.693}{k} or k=0.693t1/2=0.693480k =\frac{0.693}{t_{1 / 2}}=\frac{0.693}{480} =1.44×10−3s−1=1.44 \times 10^{-3} s ^{-1}