List of top Thermodynamics Questions on Thermodynamic relations asked in GATE XE

If 
\(h\) is the mass specific enthalpy,  
\(s\) is the mass specific entropy, 
\(P\) is the pressure, 
\(T\) is the temperature, 
\(C_V\) is the mass specific heat at constant volume, 
\(C_P\) is the mass specific heat at constant pressure,  
\(\beta\) is the coefficient of thermal expansion,  
\(v\) is the mass specific volume,  
\(\kappa\) is the isothermal compressibility,
then the partial derivative  \(\left( \frac{\partial h}{\partial s} \right)_P\) is

If 
\(v\) is the mass specific volume,
\(s\) is the mass specific entropy,
\(P\) is the pressure,
\(T\) is the temperature, 
then using Maxwell relations, \[ \left( \frac{\partial s}{\partial P} \right)_T = \]

Two identical pressure cookers, Cooker A and Cooker B, each having a total internal capacity of 6 litres are available. Cooker A is filled with 2 litres of liquid water at 110°C and Cooker B is filled with 4 litres of liquid water at 110°C. The remaining space in both the cookers is filled with saturated water vapour in equilibrium with the liquid water. If \( g \) represents the specific Gibbs free energy, and subscripts \( v \) and \( l \) represent the saturated vapour and the saturated liquid phases, respectively, which of the following expressions is correct?