The Clausius equation of state is 

a. Show that for this volumetric equation of state 

b. For a certain process the pressure of a gas must be reduced from an initial pressure P₁ to the final pressure P₂. The gas obeys the Clausius equation of state, and the pressure reduction is to be accomplished either by passing the gas through a flow constriction, such as a pressure-reducing valve, or by passing it through a small gas turbine (which we can assume to be both reversible and adiabatic). Obtain expressions for the final gas temperature in each of these cases in terms of the initial state and the properties of the gas.

Transcribed Image Text:

P(V - b) = RT