For a first order reaction,which of the follo | vedclass

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(D) For a first order reaction,the concentration at time $t$ is given by $[A]_t = [A]_0 e^{-kt}$.The degree of dissociation $\alpha$ is defined as $\f

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Both $(a)$ and $(c)$

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(D) For a first order reaction,the concentration at time $t$ is given by $[A]_t = [A]_0 e^{-kt}$.The degree of dissociation $\alpha$ is defined as $\frac{[A]_0 - [A]_t}{[A]_0} = 1 - \frac{[A]_t}{[A]_0} = 1 - e^{-kt}$. Thus,$(a)$ is correct.For a first order reaction,a plot of $\ln [A]$ vs $t$ gives a straight line,not the reciprocal concentration. Thus,$(b)$ is incorrect.In the Arrhenius equation $k = A e^{-E_a/RT}$,the unit of $k$ for a first order reaction is $time^{-1}$. Since $e^{-E_a/RT}$ is dimensionless,the pre-exponential factor $A$ must have the same units as $k$,which is $T^{-1}$. Thus,$(c)$ is correct.Since both $(a)$ and $(c)$ are correct,$(d)$ is the correct option.

For a first order reaction,which of the following statements is correct?

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