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Question: Rate constant for a reaction is $\lambda$. Average life is represent by...

Rate constant for a reaction is λ\lambda. Average life is represent by

A

1λ\frac{1}{\lambda}

B

ln2λ\frac{ln^{2}}{\lambda}

C

λ2\frac{\lambda}{\sqrt{2}}

D

0.693λ\frac{0.693}{\lambda}

Answer

1λ\frac{1}{\lambda}

Explanation

Solution

For a first-order reaction, the average life (τ\tau) is defined as the reciprocal of the rate constant (λ\lambda). This relationship is fundamental in chemical kinetics, particularly for processes like radioactive decay. The formula is:

τ=1λ\tau = \frac{1}{\lambda}