Flue gases at 10.5 bar and 700 C enter to an expander. The expander has a pressure ratio of 10/1. The isentropic efficiency of the expansion is 0.85. The volumetric composition of flue gases is:
N2 76.4%; O2 4.0%; CO2 15.1%; Ar 0.09%; H2O 4.2%; SO2 0.21%
Calculate the temperature, specific enthalpy, and specific entropy of the flue gases at the outlet. If the intake of hot gases is 5 kg/s, what is the output of the expander?
| Inputs |
Units |
|
|
Inlet Pressure |
10,5 |
bar |
|
Inlet Temperature |
700,0 |
C |
|
N2 Volumetric % |
0,7640 |
. |
|
O2 Volumetric % |
0,0400 |
. |
|
CO2 Volumetric % |
0,1510 |
. |
|
Ar Volumetric % |
0,0009 |
. |
|
H2O Volumetric % |
0,0420 |
. |
|
SO2 Volumetric % |
0,0021 |
. |
|
Isentropic Efficiency |
0,850 |
. |
|
Pressure Ratio |
10,000 |
. |
|
Mass Flow |
5,000 |
Kg/s |
Equations:
| Outputs | ||
|
Inlet Enthalpy |
833,088 |
kJ/kg |
|
Gas Constant |
0,275 |
kJ/(kg.K) |
|
Inlet Entropy |
0,726 |
kJ/(kg.K) |
|
Inlet Specific Heat Capacity |
1,198 |
kJ/(kg.K) |
|
Gamma |
1,298 |
. |
|
Kelvin |
273,150 |
C |
|
Outlet Pressure |
1,050 |
bar |
|
Ln(P1/P2) |
2,303 |
. |
|
(1-1/Gamma)*'Ln(P1/P2) |
0,528 |
. |
|
T1/T2s=.... |
1,696 |
. |
|
T2s |
573,923 |
C |
|
T2s |
300,773 |
C |
|
H2s |
376,256 |
kJ/kg |
|
Outlet Enthalpy |
444,781 |
kJ/kg |
|
Outlet Temperature |
363,341 |
C |
|
Outlet Entropy |
0,871 |
kJ/(kg.K) |
|
. |
. |
. |
|
Turbine Output |
1941,536 |
KJ/s |