List of top Chemistry Questions on Thermodynamics asked in IIT JAM CY

Given $C_p = a + bT$
$a = 19.5$, $b = 0.042$, $n = 1$ mole
Temperature changes from $27^\circ C$ to $327^\circ C$.
Find $\Delta H$.
Isothermal compressibility of an ideal gas \[ -\frac{1}{V}\left(\frac{dV}{dP}\right)_T \] is equal to
Among the following, the correct condition(s) for spontaneity is(are)

One mole of a monoatomic ideal gas starting from state A, goes through B and C to state D, as shown in the figure. Total change in entropy (in J K\(^{-1}\)) during this process is ............... 

A vessel contains 1 mol of gas A and 2 mol of gas B at 2 bar and 25°C. The gas mixture is compressed such that the final pressure becomes 3 bar without any change in temperature. Considering ideal gas behaviour, the change in Gibbs free energy (in kJ) during the compression is closest to
For van der Waals gases, at the critical point, \( \frac{dP}{dV_m} = 0 \) and

A pure substance M has lesser density in solid state than in liquid state. The $\Delta S_\text{fusion}$ of M is +25 J K$^{-1}$ mol$^{-1}$. The CORRECT representative Pressure–Temperature diagram for the fusion of M is 

The thermodynamic data at 298 K for the decomposition reaction of limestone at equilibrium is given below: \[ \mathrm{CaCO_3(s)} \rightleftharpoons \mathrm{CaO(s)} + \mathrm{CO_2(g)} \] 

 

Adsorption of a toxic gas on 1.0 g activated charcoal is 0.75 cm$^3$ both at 25 atm, 140 K and at 30.0 atm, 280 K. The isosteric enthalpy for adsorption of the gas in kJ mol$^{-1}$ (rounded off to two decimal places) is ________. (Given: $R = 8.314$ J K$^{-1}$ mol$^{-1}$)
The CORRECT Maxwell relation(s) derived from the fundamental equations of thermodynamics is (are)
The thermodynamic criterion for spontaneity of a process in a system under constant volume and temperature and in the absence of any work other than expansion work (if any) is
A straight line having a slope of $-\Delta U^{0}/R$ is obtained in a plot between
At 298 K and 1 atm, the molar enthalpies of combustion of cyclopropane and propene are −2091 kJ mol$^{-1}$ and −2058 kJ mol$^{-1}$, respectively. The enthalpy change (in kJ mol$^{-1}$) for the conversion of one mole of propene to one mole of cyclopropane is ..............
Consider an isothermal reversible compression of one mole of an ideal gas in which the pressure of the system is increased from 5 atm to 30 atm at 300 K. The entropy change of the surroundings (in J K$^{-1}$) is ______ (final answer rounded to two decimals).
Intensive variable(s) is/are