Question

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

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

Answer 1

Answer: (B)

$16P_o$

$P_o{V}^{4/3}=P_1{\left(\frac{V}{8}\right)}^{4/3}\Rightarrow P_1=P_o{8}^{4/3}=16P_o$