Which of the following relations is correct f | vedclass

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(D) For a zero order reaction,the rate law is given by $Rate = k[R]^0 = k$. Integrating this,we get $[R]_t = [R]_0 - kt$. At half-life $(t = t_{1/2})$

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$t_{1/2} \propto [R]_0$

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(D) For a zero order reaction,the rate law is given by $Rate = k[R]^0 = k$. Integrating this,we get $[R]_t = [R]_0 - kt$. At half-life $(t = t_{1/2})$,the concentration $[R]_t = \frac{[R]_0}{2}$. Substituting this into the integrated rate equation: $\frac{[R]_0}{2} = [R]_0 - kt_{1/2}$. Rearranging for $t_{1/2}$,we get $kt_{1/2} = \frac{[R]_0}{2}$,which simplifies to $t_{1/2} = \frac{[R]_0}{2k}$. Since $k$ is a constant,$t_{1/2} \propto [R]_0$. Therefore,the correct relation is $t_{1/2} \propto [R]_0$.

Which of the following relations is correct for a zero order reaction?

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