Two moles of ethane in a piston-cylinder assembly undergo a reversible adiabatic compression. The initial pressure is

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Two moles of ethane in a piston-cylinder assembly undergo a reversible adiabatic compression.

The initial pressure is 0.5 bar, and the initial volume is 0.1 m3. The fi nal volume is 0.002 m3.

Use the van der Waals equation of state to account for intermolecular interactions. Answer the following questions:

(a) What is the initial temperature?

(b) What is the entropy change of the system for this process?

(c) What is the fi nal pressure? What is the fi nal temperature?

(d) How much work in [J] is done during this process?

(e) How much heat is transferred this process?

(f) Do you expecting the magnitude of work to be larger or smaller than what you would obtain if ethane behaved like an ideal gas? Please comment on your answer based on molecular interactions.

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