A gas has CP* = 5R and is described by the following equation of state:
?V=RT/P+ aTP
where a = 0.150 m3/mol•Pa•K. Determine the change in molar enthalpy when this gas is compressed and heated from 400 K and 0.2 MPa to 700 K and 1.5 MPa.
A.-12.5 J/mol
B.0 J/mol
C.12.5 kJ/mol
D.The given equation of state makes this problem impossible to solve.
E.None of these are correct.
A. Incorrect. You are making both a sign and a units error. Your calculus is apparently fine though.
B. Incorrect. There is an increase in both temperature and pressure; it is unlikely the effects on enthalpy would cancel each other out perfectly and they do not.
C. Correct. The residual function does not affect the enthalpy when using this EoS.
D. Incorrect. It is possible to solve the problem, make sure you are using the correct residual property equation from Section 6.3.5.
E. Incorrect. One of the four answers is correct.
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