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HW4 - Department of Chemical Engineering University of...

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Department of Chemical Engineering ChE 110A University of California, Santa Barbara Winter 2010 Problem Set No. 4 Due: Wednesday, January 27, 2010 Objective : To use the First Law and the concepts of enthalpy and heat capacity to assess processes in open and closed systems. Note: Numerical values for some problems have been changed from those in the book. Problem 13 (thought problem) Experiments on an unknown gas show that its heat capacity is well-described by the following expression: g1829 g3023 /g1844g3404g1827g3397g1828g1846 where g1827 is a unitless constant and g1828 a constant with units of inverse temperature. Indicate whether each of the following statements is true or false. If false, explain why. (a) The gas cannot be considered an ideal gas. (b) Upon isochoric heating from g1846 g2869 to g1846 g2870 , the change in internal energy is given by Δg1847g3404g1844g4670g1827g3397g1828g1846 g2870 g4671g4666g1846 g2870 g3398g1846 g2869 g4667 . (c) Upon adiabatic compression to one-third its original volume, the temperature change of this gas can be found using g4666g1846 g2870 g1846 g2869 ⁄ g4667g3404g4666g1848 g2869 g1848 g2870 ⁄ g4667 g3019 g3004 g3271 g34043 g3019 g3004 g3271 .
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