Question

For reaction: $A\left(s\right)\rightleftharpoons B\left(g\right)+C\left(g\right)$. What will be the value of natural logarithm of ratio of total pressure at $400K$ to that at $300K[=ln\frac{P_{400}}{P_{300}}]$ if $△H=16.628kJ$. [Given: $R=8.314J/K-mole]$.

• A. $\frac{5}{3}$
• B. $\frac{5}{6}$
• C. $\frac{3}{5}$
• D. $\frac{6}{5}$

Answer 1

The correct option is A $\frac{5}{3}$

According to Clausius Clapeyron equation,

$ln\frac{P_1}{P_2}=-\frac{\Delta H}{R}\times [\frac{1}{T_1}-\frac{1}{T_2}]$

$\Rightarrow ln\frac{P_{400}}{P_{300}}=-\frac{16628}{8.314}\times [\frac{1}{400}-\frac{1}{300}]$

$\Rightarrow ln\frac{P_{400}}{P_{300}}=-\frac{16628(300-400)}{8.314\times 400\times 300}$

$\Rightarrow ln\frac{P_1}{P_2}=\frac{2000\times 100}{300\times 400}=\frac{5}{3}$

Hence, the correct option is A.