The time for the half-life period of a certai | vedclass

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(C) For a zero-order reaction,the half-life is given by $t_{1/2} = \frac{[A]_0}{2k}$.Given $t_{1/2} = 1 \ hr$ and $[A]_0 = 2.0 \ mol \ L^{-1}$,we calc

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$0.25$

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(C) For a zero-order reaction,the half-life is given by $t_{1/2} = \frac{[A]_0}{2k}$.Given $t_{1/2} = 1 \ hr$ and $[A]_0 = 2.0 \ mol \ L^{-1}$,we calculate the rate constant $k$:$k = \frac{[A]_0}{2 t_{1/2}} = \frac{2.0 \ mol \ L^{-1}}{2 	imes 1 \ hr} = 1 \ mol \ L^{-1} \ hr^{-1}$.For a zero-order reaction,the time $t$ required for the concentration to change from $[A]_1$ to $[A]_2$ is given by $k = \frac{[A]_1 - [A]_2}{t}$.Substituting the values: $1 \ mol \ L^{-1} \ hr^{-1} = \frac{0.50 \ mol \ L^{-1} - 0.25 \ mol \ L^{-1}}{t}$.$t = \frac{0.25 \ mol \ L^{-1}}{1 \ mol \ L^{-1} \ hr^{-1}} = 0.25 \ hr$.

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