Question

The pressure of a gas at $0^{o}C$ is $50cmHg.$ At constant volume, when it is heated to ${80}^{o}C,$ its pressure is $64cmHg.$ Then pressure coefficient of the gas is:

• A. $0.0035{/}^{o}C$
• B. $0.00175{/}^{o}C$
• C. $0.0070{/}^{o}C$
• D. $0.0036{/}^{o}C$

Answer 1

The correct option is A $0.0035{/}^{o}C$

pressure coefficient of gas is given by,

$\alpha =\frac{P_T-P_0}{P_0.T}$

where $P_T$ is the pressure of the gas at temperature T and $P_0$ is the pressure of the gas at temperature $0^{o}C$.

here, $P_T$ $=64$ cm Hg

$P_0$ $=50$ cmHg

$T={80}^{o}C$

then, $\alpha =\frac{(64-50)}{(50\times 80)}$

$=\frac{14}{4000}$

$=0.0035{/}^{o}C$

Hence, the correct option is $\text{A}$