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Q. The following statement(s) is (are) correct :
(i) A plot of $\log K_{p}$ versus $1 / T$ is linear
(ii) A plot of $\log [ X ]$ versus time is linear for a first order reaction, $X \rightarrow P$
(iii) A plot of $\log P$ versus $1 / T$ is linear at constant volume
(iv) A plot of $P$ versus $1 / V$ is linear at constant temperature

Chemical Kinetics

Solution:

The relevant expressions are as follows.
(i) $\log K_{p}=-\frac{\Delta H }{R} \frac{1}{T}+ I$
(ii) $\log [ X ]=\log [ X ]_{0}+k t$
(iii) $P / T=$ constant ( $V$ constant)
(iv) $P V=$ constant $(T$ constant $)$