If you consider the ideal gas law to be an acceptable approximation for substances that have compressibility factors within 10% of 1 (i.e., between 0.90 and 1.10), determine the range of acceptable temperatures for ideal gas behavior for a gas with a pressure of 500 kPa if the gas is (a) hydrogen, (b) oxygen, and (c) carbon dioxide.
Given: P = 500 kPa, 0.9 ? Z ? 1.10
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
PR = P/Pc = 0.385
So, for Z = 0.90: TR = 1.1: T = TcTR = 36.6 K
For Z = 1.10: Not achieved, take T to be infinite
Acceptable Temperature range: 36.6 K? T
(b) O2: Tc = 154.8 K, Pc = 5,080 kPa
PR = P/Pc = 0.098
So, for Z = 0.90: TR = 0.73: T = TcTR = 113 K
For Z = 1.10: Not achieved, take T to be infinite
Acceptable Temperature range: 113 K ? T
(c) CO2: Tc = 304.2 K, Pc = 7,390 kPa
PR = P/Pc = 0.068
So, for Z = 0.90: TR = 0.67: T = TcTR = 204 K
For Z = 1.10: Not achieved, take T to be infinite
Acceptable Temperature range: 204 K ? T
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