Chemical Kinetics - Result Question 44

####44. The following statement (s) is are correct

(a) A plot of $\log K _p v s \frac{1}{T}$ is linear

(b) A plot of $\log [X]$ vs time is linear for a first order reaction, $x \rightarrow p$

(c) A plot of $\log p v s \frac{1}{T}$ is linear at constant volume

(d) A plot of $p v s \frac{1}{V}$ is linear at constant temperature

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Answer:

Correct Answer: 44. $(b, c, d)$

Solution:

  1. Equilibrium constant is related to temperature

$$ \log K _p=\text { constant }-\frac{\Delta H}{2.3 R T} $$

$\Rightarrow$ Plot of $\log K _p v s 1 / T$ will be a straight line.

For the first order reaction $\quad X \rightarrow P$

$$ \log \frac{[X] _0}{[X]}=\frac{k t}{2.3} \Rightarrow \log [X]=\log \left[X _0\right]-\frac{k t}{2.3} $$

i.e. $\log [X] v s$ ’ $t$ ’ will give a straight line.

Also at constant temperature, $p V=$ constant

$\Rightarrow$ Plot of $p v s \frac{1}{V}$ will give a straight line.



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