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 \[\log P\] versus \[1/T\] is linear at constant volume
D) A plot of \[P\] versus \[1/V\] is linear at constant temperature
Correct Answer: A
Solution :
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 is correct is also correct as plot of log (X) vs time is linear. is wrong because \[p\propto T\] at constant volume. is correct by Boyle?s law.
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