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PRESENTED BY:
NISHANT R. SHAH
GUIDE:
PROF. ARVIND PRASAD
INTRODUCTION
• What do you mean by exergy?
• Maximum work that can be obtained from any form of
energy or in simple words
• Exergy is a available energy
Environment can interact with system in three ways:
Thermal interaction
Mechanical interaction
Chemical interaction
Environmental State & Dead State
Mech & Thermal
eqlbm. With
environment {Thermo-
mechanical exergy}
M+T+Chemical
eqlbm.
{Total exergy}
Chemical Exergy :
Max amount of work obtainable when the
substance under consideration is brought
from environmental state to Dead State by
processes involving heat transfer & mass
transfer only with the environment
Or
Work obtainable due to the difference in
chemical potential
Chemical Exergy
Determination of Chemical Exergy for Gases:
Turbine
T,P 1
Environment
2 T0,P0
Wsh
Chemical Exergy
Making ideal gas assumption
Exch
= RT ln Po = -RT ln (yCO2)e
PCO2
mole fraction of CO2 in
environment
Similarly for ideal gas mixture
Exch
= RT0 ∑ ln(yi/ye)ye
Total Exergy
Flow Process
ex = (h-Ts) – (h0-T0s0) + V2
+ gz + Exch
2
Non-Flow Process
ex = (U-U0) + P0(V-V0) –T0(S-S0) + V2
+ gz + Exch
2
ex. Hydrocarbon fuel
O2
Ca Hb
Q
Wsh
H2O (liq)
CO2
(T0, P0)
T0
P0
Chemical Exergy of fuels
CaHb + a + b O2 aCO2 + b H2O
4 2
Assuming no irreversibility,
Exch
fue l + a + b Exch
O2 Wshmax + a(Exch
CO2) + b(Exch
H2O)
4 2
As, (Wshmax = -∆Gr & Exch
= -RT lnyi )
Exch
fuel = -∆Gr + RT ln yO2^a+b/4
yCO2^a + yH2O^b/2
Standard Environment for Calculating the
Chemical Exergy of Hydrocarbon Fuels
0.7567
0.2035
0.0303
0.0003
0.0092
N2
02
H20
C02
Other
101.325 kPa298.15 K
Mole
Fraction
xi
Substance
(All in Gas
Phase)
Pressure,P0Temperature
T0
Composition
Example
Calculate the chemical exergy in methane gas at
25degC and 101.325kPa
Solution: The reaction equation is
CH4 + 2O2 CO2 + 2H2O
Exch
= - (gCO2 + 2gH2O) – (gCH4 + 2gO2 )
+ RT0 ln (yO2)^2
(yCO2)(yH2O)^2
SOLUTION
yO2 = 0.2035
yCO2 = 0.0003
yH2O = 0.0303
At 25degC and 101.325 kPa
gCO2 = -394,630 kJ/kgmol
gH2O = -228,730 kJ/kgmol
gCH4 = -50,844 kJ/kgmol
SOLUTION
Exch
= - (-394,630) + 2(-228,730) -
(-50,844 + 0)
+ 8.314*298.15 ln (0.22035)^2
(0.0003)(0.0303)^2
= 801,250 + 29,550 kJ/kgmol
= 830,800 kJ/kgmol
Application
Exergy analysis is performed in the field of industrial
ecology to use energy more efficiently
Design engineers have recognised that a higher exergy
efficiency involves building a more expensive plant & a
balance between capital investment & operating efficiency
must be determined in the context of economic
competition
Exergy methods are computed before setting up any plant
to select the best possible & efficient design
THANK YOU

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Seminar Topic on Chemical Exergy

  • 1. PRESENTED BY: NISHANT R. SHAH GUIDE: PROF. ARVIND PRASAD
  • 2. INTRODUCTION • What do you mean by exergy? • Maximum work that can be obtained from any form of energy or in simple words • Exergy is a available energy Environment can interact with system in three ways: Thermal interaction Mechanical interaction Chemical interaction
  • 3. Environmental State & Dead State Mech & Thermal eqlbm. With environment {Thermo- mechanical exergy} M+T+Chemical eqlbm. {Total exergy}
  • 4. Chemical Exergy : Max amount of work obtainable when the substance under consideration is brought from environmental state to Dead State by processes involving heat transfer & mass transfer only with the environment Or Work obtainable due to the difference in chemical potential
  • 5. Chemical Exergy Determination of Chemical Exergy for Gases: Turbine T,P 1 Environment 2 T0,P0 Wsh
  • 6. Chemical Exergy Making ideal gas assumption Exch = RT ln Po = -RT ln (yCO2)e PCO2 mole fraction of CO2 in environment Similarly for ideal gas mixture Exch = RT0 ∑ ln(yi/ye)ye
  • 7. Total Exergy Flow Process ex = (h-Ts) – (h0-T0s0) + V2 + gz + Exch 2 Non-Flow Process ex = (U-U0) + P0(V-V0) –T0(S-S0) + V2 + gz + Exch 2
  • 8. ex. Hydrocarbon fuel O2 Ca Hb Q Wsh H2O (liq) CO2 (T0, P0) T0 P0
  • 9. Chemical Exergy of fuels CaHb + a + b O2 aCO2 + b H2O 4 2 Assuming no irreversibility, Exch fue l + a + b Exch O2 Wshmax + a(Exch CO2) + b(Exch H2O) 4 2 As, (Wshmax = -∆Gr & Exch = -RT lnyi ) Exch fuel = -∆Gr + RT ln yO2^a+b/4 yCO2^a + yH2O^b/2
  • 10. Standard Environment for Calculating the Chemical Exergy of Hydrocarbon Fuels 0.7567 0.2035 0.0303 0.0003 0.0092 N2 02 H20 C02 Other 101.325 kPa298.15 K Mole Fraction xi Substance (All in Gas Phase) Pressure,P0Temperature T0 Composition
  • 11. Example Calculate the chemical exergy in methane gas at 25degC and 101.325kPa Solution: The reaction equation is CH4 + 2O2 CO2 + 2H2O Exch = - (gCO2 + 2gH2O) – (gCH4 + 2gO2 ) + RT0 ln (yO2)^2 (yCO2)(yH2O)^2
  • 12. SOLUTION yO2 = 0.2035 yCO2 = 0.0003 yH2O = 0.0303 At 25degC and 101.325 kPa gCO2 = -394,630 kJ/kgmol gH2O = -228,730 kJ/kgmol gCH4 = -50,844 kJ/kgmol
  • 13. SOLUTION Exch = - (-394,630) + 2(-228,730) - (-50,844 + 0) + 8.314*298.15 ln (0.22035)^2 (0.0003)(0.0303)^2 = 801,250 + 29,550 kJ/kgmol = 830,800 kJ/kgmol
  • 14. Application Exergy analysis is performed in the field of industrial ecology to use energy more efficiently Design engineers have recognised that a higher exergy efficiency involves building a more expensive plant & a balance between capital investment & operating efficiency must be determined in the context of economic competition Exergy methods are computed before setting up any plant to select the best possible & efficient design