Question

Monoatomic, diatomic and triatomic gases whose initial volume and pressure are same, are compressed till their volume becomes half the initial volume.

• A. If the compression is adiabatic then monoatomic gas will have maximum final pressure.
• B. If the compression is adiabatic then triatomic gas will have maximum final pressure.
• C. If the compression is adiabatic then their final pressure will be same.
• D. If the compression is isothermal then their final pressure will be different.

Answer 1

Answer: (A)

$P_{1} V_{1}^{\gamma}=P_{2} V_{2}^{\gamma}$
$\frac{P_{2}}{P_{1}}=\left(\frac{v_{1}}{v_{2}}\right)^{\gamma}$
$P_{2}=2^{\gamma} P_{1}$
$\gamma_{t}>\gamma_{d}>\gamma_{m} \Rightarrow \left(P_{2}\right)_{m}<\left(P_{2}\right)_{d}<\left(P_{2}\right)_{k}$