A tank with a volume of 8.6 ft3 contains 5.36 lbmol of carbon monoxide (CO) gas at a pressure of 3500 lbf/in.2 Determine the temperature, in °R. Determine the percent error in temperature of assuming ideal gas behavior at this state for CO.
Please provide the complete answer.
First, let us convert all the values into SI units.
Pressure, P = 3500 lbf/in2 = 241.3 bar = 241.3 x 105 N/m2
Volume, V = 8.6 ft3 = 0.244 m3
5.36 lbmol = 2431.26 mol
Universal Gas Constant, R = 8.314 J/K/mol
We know that,
PV = nRT,
putting values and solving for T, we have,
T = [(241.3 x 105)x0.244]/[8.314 x 2431.26] = 291.26K
Now converting unit into degree Rankine, we have T = 524.28°R
Ideal gas temp = 273K = 491.4°R
Calculating % error = (524.28 - 491.4)/491.4 x 100 = 6.72% error. Ans.
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