# hw3_F - CH353M Homework assignment 3 (due Friday Oct. 14)...

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CH353M Homework assignment 3 ( due Friday Oct. 14 ) 1. ( 5 ) Derive the expression for pv C-C for a material with the following equation of state: 2 Va b P c T =+ + , where a , b , and c are constants. 2 (20). One mole of a gas occupies one half of a container that is separated from the rest of the container by a partition. The initial volume of the gas is V and its temperature is T . After the partition is removed, the gas expands irreversibly and occupies the volume 2 V . The equation of state of the gas is 2 (/ ) ( ) PaV Vb R T +− = and its heat capacity V C is temperature-independent. A. What is the temperature of the gas after expansion? B. What is the change of the entropy of the gas in this process? C. In the class, we have derived the relationship () / constant VV CRC PV + = between the pressure and the volume of an ideal gas undergoing a reversible adiabatic process, in which it receives no heat from the surroundings. Derive an analogous relationship for the gas obeying the van der Waals equation of state above (and

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## This note was uploaded on 09/06/2009 for the course CH 353M taught by Professor Lim during the Spring '08 term at University of Texas.

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hw3_F - CH353M Homework assignment 3 (due Friday Oct. 14)...

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