List of top Physics Questions on Thermodynamics and Process Calculation asked in IIT JAM PH

Using the sublimation relation $\log_{10}(P)=\frac{C_1}{T}+C_2$ for zinc, with $C_1=6790$ K, $C_2=9$, compute the latent heat of sublimation using the Clausius–Clapeyron equation. (Specify answer in kJ/mol up to one digit after decimal.)

An isolated box is divided into two equal compartments by a partition (see figure). One compartment contains a van der Waals gas while the other compartment is empty. The partition between the two compartments is now removed. After the gas has filled the entire box and equilibrium has been achieved, which of the following statement(s) is (are) correct?

Starting with the equation $ TdS = dU + p dV $ and using the appropriate Maxwell's relation along with the expression for heat capacity $ C_p $ (see useful information), the derivative $ \left( \frac{\partial p}{\partial T} \right)_V $ for a substance can be expressed in terms of its specific heat $ c_p $, density $ \rho $, coefficient of volume expansion $ \beta $, and temperature $ T $. For ice, $ c_p = 2010 \, \text{J/kg.K} $, $ \rho = 10^3 \, \text{kg/m}^3 $, and $ \beta = 1.6 \times 10^{-4} \, \text{1/K} $. If the value of $ \left( \frac{\partial p}{\partial T} \right)_V $ at 270 K is $ N \times 10^7 \, \text{Pa/K} $, then the value of $ N $ is:

Consider a Carnot engine operating between temperatures of 600 K and 400 K. The engine performs 1000 J of work per cycle. The heat (in Joules) extracted per cycle from the high temperature reservoir is:

Consider two identical, finite, isolated systems of constant heat capacity $ C $ at temperatures $ T_1 $ and $ T_2 $ ($ T_1>T_2 $). An engine works between them until their temperatures become equal. Taking into account that the work performed by the engine will be maximum ($ W_{\text{max}} $) if the process is reversible (equivalently, the entropy change of the entire system is zero), the value of $ W_{\text{max}} $ is: