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18 Nov 2019

1. Equation shows the relation between T and V when an ideal gas is adiabatically and reversibly expanded or compressed from T1V1 to T2V2,

a) Prepare a table in an Excel spreadsheet showing the values of V, T, and p (i.e., three columns) when 200 g. CH4(g) is reversibly and adiabatically expanded starting at T1 = 350K, V1 = 0.010 m3 to a final volume of 200 L. Assume ideal gas behaviour. Needed heat capacity data can be found in the Lecture Notes Appendix.

In the first column, use values of V starting from V1 = 0.010 m3 to 200 L (0.200 m3) in steps of 0.010 m3 . In column 2 calculate each new T (eq. 2.42) and in column 3 the corresponding new pressure. Remember eq. 2.29.

b) Next prepare two separate graphs, one of T (y-axis) vs. V (L or m3, your choice) and one of p (y-axis) against V using the values from the columns in a). Present your table and graphs on the same page. Make sure your graphs include a title for each, axis legends (x-values V (m3), y-values T (K) or p (Pa).

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