Question

Graph between $\log \left(\frac{x}{m}\right)$ and $\log p$ is a straight line at angle ${45}^{\circ }$ with intercept $OA$ as shown. The value of $\left(\frac{x}{m}\right)$ at a pressure of $0.2atm$ is:

• A. $0.8$
• B. $0.6$
• C. $0.4$
• D. $0.2$

Answer 1

The correct option is C $0.4$

$\log \left(\frac{x}{m}\right)=\log k+\frac{1}{n}\log p$

Given, $\log k=0.3010=$ intercept on y-axis

and $\frac{1}{n}=\tan {45}^{\circ }=1=slope$

$\therefore \log \left(\frac{x}{m}\right)=0.3010+log0.2$

$=\log 2+\log 0.2$

$=\log 0.4$

$\therefore \frac{x}{m}=0.4$

Hence, option $C$ is correct.