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  4. Three identical adiabatic containers A, B and C contain helium, neon and oxygen respectively at equal pressure. The gases are pushed to half their original volumes :

Q. Three identical adiabatic containers $A, B$ and $C$ contain helium, neon and oxygen respectively at equal pressure. The gases are pushed to half their original volumes :

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Solution:

According to the process equation for adiabatic process $P V=$ constant for helium and neon which are monoatomic gases ratio of specific heats is same so final pressure will be same but for oxygen which is diatomic $\gamma$ is different so its pressure will also be different.

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2. 1 g of water is evaporated at 1 atmospheric pressure. Its volume in liquid phase is $1 \,cm ^{3}$ which becomes $1671 \,cm ^{3}$ in the vapour phase. If the latent heat of water is $2256 \,J / g $, then change in its internal energy is

3. One mole of an ideal gas at temperature $T$ was cooled isochorically till the gas pressure fell from $P$ to $\frac{P}{n}$. Then, by an isobaric process, the gas was restored to the initial temperature. The net amount of heat absorbed by the gas in the process is

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5. An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cros section $8.0 \times 10^{-3} \, m^2$. Initially the gas is at 300K and occupies a volume of $2.4 \times 10^{-3} \, m^3$ and the spring is in its relaxed state as shown in figure. The gas is heated by a small heater until the piston moves out slowly by $0.1\, m$. The force constant of the spring is $8000\, N/m$ and the atmospheric pressure is $1.0 \times 10^5 \, N/m^2$. The cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. The final temperature of the gas will be :
(Neglect the heat loss through the lead wires of the heater. The heat capacity of the heater coil is also negligible)

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