Carbon dioxide has a pressure of 1500 kPa. Using both the ideal gas law and van der Waals equation, determine the specific volume of the CO2 for temperatures of (a) 250 K, (b) 500 K, and (c) 2000 K.

Given: CO2, P = 1500 kPa

What will be an ideal response?


For CO2, R = 0.1889 kJ/kg-K; Tc = 304.2; Pc = 7,390 kPa



From the ideal gas law: v = RT/P



For van der Waals Equation, we need the constants a and b:



van der Waals equation:



(a) T = 250 K

Ideal gas law: v = 0.03148 m3/kg

van der Waals equation: v = 0.02815 m3/kg



(b) T = 500 K

Ideal gas law: v = 0.0630 m3/kg

van der Waals equation: v = 0.0619 m3/kg



(c) T = 2000 K

Ideal gas law: v = 0.2519 m3/kg

van der Waals equation: v = 0.2523 m3/kg

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