Question

For an adiabatic compression, the quantity $PV$ for an ideal gas

• A. Increases
• B. Decreases
• C. Remains constant
• D. Depends on $\gamma$

Answer 1

The correct option is A Increases

In an adiabatic process,
$T{V}^{\gamma -1}=\text{constant}$
$\Rightarrow \frac{T_2}{T_1}={\left(\frac{V_1}{V_2}\right)}^{\gamma -1}$
Since $\gamma >1$, therefore during adiabatic compression when the gas gets compressed, the temperature increases.
Since, $PV=nRT$
Hence, quantity $PV$ also increases.