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A piston–cylinder assembly contains two sections. Section A contains 2 kmole of acetylene, while section B contains 1 kmole of CO2. The body (or collisional) volume of CO2 and acetylene are, respectively, 0.043 and 0.0326 m3 kmole–1.
a. Determine the volumes of both gases in their pure states at 100 bar and 320 K using the state equation

where denotes the body volume.
b. What is the total volume VA + VB under those conditions?
c. If the partition between the two sections is removed and the gases allowed to mix, what is the partial molal volume of the two gases if they are maintained at 100 bar and 320 K? Assume linear rule for with βk = bk.
d. What is the total volume at this state?

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