Question

A polyatomic gas $(\gamma =\frac{4}{3})$ is compressed to $\frac{1}{8}$ of its volume adiabatically. If its initial pressure is P, the new pressure will be

• A. $8P$
• B. $16P$
• C. $6P$
• D. $2P$

Answer 1

The correct option is B $16P$

In an adiabatic process we have $P\times V^{\gamma }$ constant .
or
$P_f=P(\frac{V_1}{V_2}{)}^{\frac{4}{3}}$
Therefore if V become 1/8 . Substituting values in the equation will give final P to be 16P.