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Q. Assertion : For a first order reaction, $t_{1/2}$ is independent of rate constant.
Reason: For a first order reaction, $t_{1 /2} \propto\left[R\right]_{0}$.

Chemical Kinetics

Solution:

For a first order reaction half-life period is constant i.e. it is independent of initial concentration of the reacting species. It is related to rate constant as $t_{1 /2} =\frac{0.693}{k}$.