Repeat problem 3.40 for each gas having a temperature of (a) 200 K, and (b) 500 K.
(a)
Given: T = 200 K, 0.9 ? Z ? 1.10
(b) T = 500 K
What will be an ideal response?
The compressibility chart will be used to find the values of PR at the acceptable limits of
the compressibility chart for each gas.
(a) H2: Tc = 33.3 K, Pc = 1,300 kPa
TR = T/Tc = 6.0
So, for Z = 0.90: Never achieved: take P = 0
For Z = 1.10: PR = 7, so P = PcPR = 9,100 kPa
Acceptable Pressure range: 0 ? P ? 9,100 kPa
(b) O2: Tc = 154.8 K, Pc = 5,080 kPa
TR = T/Tc = 1.29
So, for Z = 0.90: PR = 0.68, so P = PcPR = 3,450 kPa, and also at PR = 7, so P = 35,600
kPa
For Z = 1.10: PR = 8.6, so P = PcPR = 43,700 kPa
Acceptable Pressure range: P ? 3,450 kPa and 35,600 kPa ? P ? 43,700 kPa
(c) CO2: Tc = 304.2 K, Pc = 7,390 kPa
TR = T/Tc = 0.657
So, for Z = 0.90: PR = 0.05, so PcPR = 370 kPa
For Z = 1.10: PR = unknown,
Acceptable Pressure range: P ? 370 kPa
(b) T = 500 K
(a) H2: Tc = 33.3 K, Pc = 1,300 kPa
TR = T/Tc = 15
So, for Z = 0.90: Never achieved: take P = 0
For Z = 1.10: PR = 15, so P = PcPR = 19,500 kPa
Acceptable Pressure range: 0 ? P ? 19,500 kPa
(b) O2: Tc = 154.8 K, Pc = 5,080 kPa
TR = T/Tc = 3.22
So, for Z = 0.90: Never achieved: take P = 0
For Z = 1.10: PR = 6.4, so P = PcPR = 32,500 kPa
Acceptable Pressure range: 0 kPa ? P ? 32,500 kPa
(c) CO2: Tc = 304.2 K, Pc = 7,390 kPa
TR = T/Tc = 1.64
So, for Z = 0.90: PR = 2, so P = PcPR = 14,800 kPa and PR = 5.2, so P = 38,400 kPa
For Z = 1.10: PR = 9, so P = 66,500 kPa
Acceptable Pressure range: P ? 14,800 kPa and 38,400 kPa ? P ? 66,500 kPa
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