Using the ideal gas law and the compressibility factor, determine the temperature of oxygen gas at a specific volume of 0.010 m3/kg and pressures of (a) 5,000 kPa, (b) 10,000 kPa, and (c) 20,000 kPa.
Given: v = 0.010 m3/kg, O2
What will be an ideal response?
For O2, R = 0.2598 kJ/kg-K
The temperature will be found by the following means:
Ideal Gas Law: T = Pv/R
Compressibility factor: T = Pv/ZR where Z is found from the compressibility charts,
using the critical properties of oxygen: Tc = 154.8 K, Pc = 5,080 kPa .
The reduced temperature is PR = P/Pc = 1.57
The pseudo-reduced specific volume is
The results for the temperature are as follows:
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