A 1 kmol mixture of CO_2 and C_2H_6 (ethane) occupies a volume of 0.2 m^3 at a t
ID: 1020723 • Letter: A
Question
A 1 kmol mixture of CO_2 and C_2H_6 (ethane) occupies a volume of 0.2 m^3 at a temperature of 410 K. The mole fraction of CO_2 is 0.3. Using the RG model (Nelson-Obert chart), determine (a) the mixture pressure. (b) What-if Scenario: What would the mixture pressure be if IG model were used? Problem Type: Key Problem: A key problem is designed to guide you (with hints and customized study plan) through a successful solution. Key problems are carefully selected to serve as building blocks to improve your problem solving skill on a specific ideal learning outcome (ILO) listed below. Mastery in 25 ILOs will makes one an expert in engineering thermodynamics analysis. Status: Not yet attempted! Number of Attempts: 0; My Answers: Difficulty rating [1], notequalto of attempts.Explanation / Answer
First we calculate the critical pressure and critical temperature of the mixture
Tc = 0.3 x 304.25 K + 0.7 x 305.1
Tc = 304.89 K
Pc= 0.3 x 72.9 + 0.7 x 48.06
Pc = 55.5 atm
Now the reduced pressure and reduced temperature
Tr = 410K/304.89 K = 1.344
NOw use the ideal gas to calculate the pressure
PV = nRT
P x 0.2 = 1000 x 8.314 x 10-5 x 410
P = 170.4 bar which is 168.2 atm this is the pressure using IG model
Pr = P/Pc = 168.2/55.5 = 3.03 is the reduced pressure of the mixture using RG model
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