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 the 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 isothermic then final pressure will be different

Answer 1

The correct option is A If the compression is adiabatic then the monoatomic gas will have maximum final pressure

For an adiabatic process,
$P{V}^{\gamma }=constant$
or
$\frac{P_1}{P_2}=(\frac{V_2}{V_1}{)}^{\gamma }$
or
$P_2=2^{\gamma }{P}_1$
Now, for a monoatomic gas, the value of $\gamma$ is the highest
Thus, for the same change in volume, the monoatomic gas will have the maximum pressure.