In thermodynamics, the Joule-Thomson effect describes a process in which a fluid is forced through a valve or porous plug while kept insulated so that no heat is exchanged with the environment. This procedure is called a throttling process or Joule-Thomson process. The rate of change of temperature T with respect to pressure P in a Joule- Thomson process (that is, at constant enthalpy H) is the Joule-Thomson coefficient µ_JT.

(a) Find a relationship between µ_JT , Cp and β (volumetric coefficient of thermal expansion)

Hint : The final relationship will also include T and V)

(b) What is the value of µ_JT for an ideal gas?