Using both the ideal gas law and van der Waals equation, determine the temperature of O2 having a pressure of 1000 kPa and specific volumes of (a) 0.5 m3/kg, (b) 0.1 m3/kg, and (c) 0.05 m3/kg.
Given: O2; P = 1000 kPa
What will be an ideal response?
(a) v = 0.5 m3/kg
For O2, R = 0.2598 kJ/kg-K; Tc = 154.8 K; Pc = 5,080 kPa
From the ideal gas law: T = Pv/R = 1925 K
For van der Waals equation, first find the constants a and b:
a = 
b = 
From van der Waals equation: 
(b) v = 0.1 m3/kg
For O2, R = 0.2598 kJ/kg-K; Tc = 154.8 K; Pc = 5,080 kPa
From the ideal gas law: T = Pv/R = 385 K
For van der Waals equation, first find the constants a and b
From van der Waals equation: 
(b) v = 0.1 m3/kg
For O2, R = 0.2598 kJ/kg-K; Tc = 154.8 K; Pc = 5,080 kPa
From the ideal gas law: T = Pv/R = 385 K
For van der Waals equation, first find the constants a and b:
From van der Waals equation: 
(c) v = 0.05 m3/kg
For O2, R = 0.2598 kJ/kg-K; Tc = 154.8 K; Pc = 5,080 kPa
From the ideal gas law: T = Pv/R = 192 K
For van der Waals equation, first find the constants a and b:
From van der Waals equation: 
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