You have a binary mixture of ethane and propane (C2 – C3) in a closed vessel at

Question

You have a binary mixture of ethane and propane (C2 – C3) in a closed vessel at 6 bar and a temperature of 273K. By sloshing the container around you can tell that it is partially full of liquid. At 273 K, the vapor pressure of each pure component is PC2=24.0; PC3= 4.0   all in units of bars.

a) Calculate the composition of the vapor and the composition of the liquid. List the assumptions in your calculation.

b) Your lab partner now tells you that in the container he put in 2 moles of ethane and 8 moles of propane. Calculate the number of moles of liquid and the number of moles of vapor.

Explanation / Answer

moles of C2= 2 moles

moles of C3 = 8 moles

total number of moles = 10

composition of the liquid

mole fraction of C2, XC2 = 2/10 = 0.2

mole fraction of C3, XC3 = 8/10 = 0.8

composition of vapour

Psolution = PoC2 XC2 + PoC2 XC2

Psolution = 24X0.2 + 4X0.8 = 4.8+3.2 = 8 bar

mole fraction of vapour of C2 = 4.8/8 = 0.6

mole fraction of vapour of C3 = 3.2/8 = 0.4

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