HW5 - Department of Chemical Engineering ChE 110A University of California Santa Barbara Winter 2011 Problem Set No 5 Due Monday February 7 2011

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Unformatted text preview: Department of Chemical Engineering ChE 110A University of California, Santa Barbara Winter 2011 Problem Set No. 5 Due: Monday, February 7, 2011 Objective : To understand and perform calculations using PVT equations of state. Note: Numerical values for some problems have been changed from those in the book. Problem 19 (thought problem) A dilute gas is well-described by a short virial expansion of the form, g G 1 ¡ ¢ £ where g is the compressibility factor and ¢ the second virial coefficient, which has been measured in experiment and is known. a) Let’s say you want to find £¤¥, ¦§ , i.e., solve for the molar volume if ¥ and ¦ are known. What order is the equation that you must solve? How many roots are there? b) Find an expression for the roots £¤¥, ¦§ . Are all physically relevant? Why or why not? c) At constant temperature ¥ , this gas is compressed to half its volume. Find an expression for the work per mol required, in terms of ¥, £ ¨ , and ¢ ....
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This note was uploaded on 12/29/2011 for the course CHE 110a taught by Professor Shell during the Fall '10 term at UCSB.

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HW5 - Department of Chemical Engineering ChE 110A University of California Santa Barbara Winter 2011 Problem Set No 5 Due Monday February 7 2011

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