List of top Physics Questions on Thermodynamics asked in GATE PH

For an ideal gas undergoing an adiabatic process, which quantity remains constant?

One mole of an ideal monatomic gas at absolute temperature $ T $ undergoes free expansion to double its original volume, so that the entropy change is $ \Delta S_1 $. An identical amount of the same gas at absolute temperature $ 2T $ undergoes isothermal expansion to double its original volume, so that the entropy change is $ \Delta S_2 $. The value of $ \frac{\Delta S_1}{\Delta S_2} $ (in integer) is:

A schematic Pressure-Temperature diagram of water is shown in the figure. Which of the following option(s) is/are correct?

The Joule-Thomson expansion of a gas is:

A simple harmonic oscillator with an angular frequency $\omega$ is in thermal equilibrium with a reservoir at absolute temperature $T$, with $\omega = \dfrac{2\pi k_B T}{h}$. Which one of the following is the partition function of the system?

For a non-magnetic metal, which one of the following graphs best represents the behaviour of $\frac{C}{T}$ vs. $T^2$, where $C$ is the heat capacity and $T$ is the temperature?

Which one of the following entropy (S) - temperature (T) diagrams CORRECTLY represents the Carnot cycle abcda shown in the P-V diagram?

Two identical bodies kept at temperatures 800 K and 200 K act as the hot and the cold reservoirs of an ideal heat engine, respectively. Assume that their heat capacity ($C$) in Joules/K is independent of temperature and that they do not undergo any phase change. Then, the maximum work that can be obtained from the heat engine is $n \times C$ Joules. What is the value of $n$ (in integer)?

Which of the following is/are the CORRECT option(s) for the Joule-Thomson effect?