GATE XE 2026 XE-E Q104: Thermodynamic Relations

It is given that:

and

. Here

is the mass specific enthalpy,

is the mass specific volume,

is the volume expansivity, and

is the mass specific heat capacity at constant pressure.

and

represent the temperature and the pressure, respectively. The inversion temperature is the temperature at which the Joule-Thomson coefficient,

, goes to zero.

Consider a fluid with properties:

/kg,

kJ/kg-K, and

1/K;

The inversion temperature (in K) for the fluid is ________ (rounded off to two decimal places).

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