Question 3.101: Reconsider Prob. 3-100. Using EES (or other) software, compa......
Reconsider Prob. 3-100. Using EES (or other) software, compare the pressure results of the ideal-gas and Beattie-Bridgeman equations with nitrogen data supplied by EES. Plot temperature versus specific volume for a pressure of 1000 \mathrm{~kPa} with respect to the saturated liquid and saturated vapor lines of nitrogen over the range of 110 \mathrm{~K}<T<150 \mathrm{~K}.
EES Problem 3.100 is reconsidered. Using EES (or other) software, the pressure results of the ideal gas and Beattie-Bridgeman equations with nitrogen data supplied by EES are to be compared. The temperature is to be plotted versus specific volume for a pressure of 1000 kPa with respect to the saturated liquid and saturated vapor lines of nitrogen over the range of 110 \mathrm{~K}<T<150 \mathrm{~K}.
Analysis The problem is solved using EES, and the solution is given below.
Function BeattBridg(T,v,M,R_u) v_bar=v*M "Conversion from m^3/kg to m^3/kmol" "The constants for the Beattie-Bridgeman equation of state are found in text" Ao=136.2315; aa=0.02617; Bo=0.05046; bb=-0.00691; cc=4.20*1E4 B=Bo*(1-bb/v_bar) A=Ao*(1-aa/v_bar) "The Beattie-Bridgeman equation of state is" BeattBridg:=R_u*T/(v_bar**2)*(1-cc/(v_bar*T**3))*(v_bar+B)-A/v_bar**2 End
| T=150 [K] v=0.041884 [m^3/kg] P_exper=1000 [kPa] T_table=T; T_BB=T;T_idealgas=T P_table=PRESSURE(Nitrogen,T=T_table,v=v) “EES data for nitrogen as a real gas” {T_table=temperature(Nitrogen, P=P_table,v=v)} M=MOLARMASS(Nitrogen) R_u=8.314 [kJ/kmol-K] “Universal gas constant” R=R_u/M “Particular gas constant” P_idealgas=R*T_idealgas/v “Ideal gas equation” P_BB=BeattBridg(T_BB,v,M,R_u) “Beattie-Bridgeman equation of state Function” |
| \mathrm{P}_\text{BB} [kPa] | \mathrm{P}_\text{table} [kPa] | \mathrm{P} _\text{ideal gas} [kPa] | V [m³/kg] | \mathrm{T}_\text{BB} [K] | \mathrm{T}_\text{ideal gas} [K] | \mathrm{T} _\text{table} [K] |
| 1000 | 1000 | 1000 | 0.01 | 91.23 | 33.69 | 103.8 |
| 1000 | 1000 | 1000 | 0.02 | 95.52 | 67.39 | 103.8 |
| 1000 | 1000 | 1000 | 0.025 | 105 | 84.23 | 106.1 |
| 1000 | 1000 | 1000 | 0.03 | 116.8 | 101.1 | 117.2 |
| 1000 | 1000 | 1000 | 0.035 | 130.1 | 117.9 | 130.1 |
| 1000 | 1000 | 1000 | 0.04 | 144.4 | 134.8 | 144.3 |
| 1000 | 1000 | 1000 | 0.05 | 174.6 | 168.5 | 174.5 |