Question

A gas at NTP is suddenly compressed to one-fourth of its original volume.If $\gamma$ is supposed to be $\frac{3}{2}$,n then the final pressure is

• A. 4 atmosphere
• B.
• C. 8 atmosphere
• D.

Answer 1

The correct option is C

8 atmosphere

(c) $P{V}^{\gamma }=constant\Rightarrow \frac{P_2}{P_1}={\left(\frac{V_1}{V_2}\right)}^{\gamma }\Rightarrow \frac{P_2}{1}={\left(\frac{V_1}{\frac{V_1}{4}}\right)}^{\frac{3}{2}}=8$

$\Rightarrow P_2=8atm$.