Which of the following statement(s) is (are) | vedclass

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(D) $1$. According to the Van't Hoff equation,$\ln K_p = -\frac{\Delta H^o}{RT} + C$. Thus,a plot of $\log \, K_p$ versus $1/T$ is linear. Statement $

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All of the above.

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(D) $1$. According to the Van't Hoff equation,$\ln K_p = -\frac{\Delta H^o}{RT} + C$. Thus,a plot of $\log \, K_p$ versus $1/T$ is linear. Statement $(a)$ is correct.$2$. For a first-order reaction,$\ln [X]_t = -kt + \ln [X]_0$. Converting to base $10$,$\log \, [X]_t = -\frac{kt}{2.303} + \log \, [X]_0$. Thus,a plot of $\log \, [X]$ versus time is linear. Statement $(b)$ is correct.$3$. According to Boyle's law,at constant temperature,$P \propto 1/V$,which implies $P = k(1/V)$. Thus,a plot of $P$ versus $1/V$ is linear. Statement $(c)$ is correct.$4$. Since $(a)$,$(b)$,and $(c)$ are all correct,the correct option is $(d)$.

Which of the following statement$(s)$ is (are) correct?

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