MCQ
The following statements(s) is (are) correct
  • A
    A plot of $\log \,{K_p}$ versus $1/T$ is linear
  • B
    A plot of $\log \,[X]$ versus time is linear for a first order reaction $X \to P$
  • C
    A plot of $P$ versus $1/V$ is linear at constant temperature
  • All of the above

Answer

Correct option: D.
All of the above
d
By Vant’s Hoff equation,

$\frac{{d\ln k}}{{dt}} = \frac{{\Delta {H^o}}}{{R{T^2}}}$

or $\ln {k_p} = - \frac{{\Delta {H^o}}}{{RT}} + I$.

Hence $(a)$ is correct $(b)$  is also correct as plot of $log\,(X)$ vs $time$ is linear.

$ (c) $ is wrong because $p \propto T$ at constant volume. $(d)$ is correct by Boyle’s law.

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