Which of the following is true for a zero ord | vedclass

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(A) For a zero order reaction,the rate constant $k$ is given by $k = \frac{[A]_0 - [A]}{t}$.At half-life $(t = t_{0.5})$,the concentration $[A] = \fra

Vedclass · Accepted Answer

$t_{0.5} \propto a$

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(A) For a zero order reaction,the rate constant $k$ is given by $k = \frac{[A]_0 - [A]}{t}$.At half-life $(t = t_{0.5})$,the concentration $[A] = \frac{[A]_0}{2}$.Substituting these values: $k = \frac{[A]_0 - \frac{[A]_0}{2}}{t_{0.5}} = \frac{[A]_0}{2t_{0.5}}$.Rearranging for $t_{0.5}$,we get $t_{0.5} = \frac{[A]_0}{2k}$.Since $k$ is constant,$t_{0.5} \propto [A]_0$ (where $a$ is the initial concentration $[A]_0$).Therefore,$t_{0.5} \propto a$.

Which of the following is true for a zero order reaction?

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