Question

Oxygen, nitrogen and helium gas are kept in three identical adiabatic containers at equal pressure and temperature. When the gases are pushed to half of the original volumes:

• A. The final temperature in all three container are same
• B. The final pressure in all three container are same
• C. The pressure of oxygen and nitrogen will be same but of helium will be different
• D. The temperature of oxygen and nitrogen will be same but of helium will be different

Answer 1

The correct option is B The final pressure in all three container are same

$P{V}^{\gamma }=constant\Rightarrow P_i{V}_i^{\gamma }=P_f{V}_f^{\gamma }\Rightarrow P{V}^{\gamma }=P_f{\left(\frac{V}{2}\right)}^{\gamma }\Rightarrow P_f=2^{\gamma }P{T}_f=\frac{P_f{V}_f}{nR}=\frac{2^{\gamma }PV}{2nR}$