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In the given example, when propane burns in stiochiometric amount of air in clos

ID: 700473 • Letter: I

Question

In the given example, when propane burns in stiochiometric amount of air in closed chamber then the reaction occur

C3H8 + 6O2 -----------------> 3CO2 + 4H2O + O2

Molar mass of propane = 44

Molar mass of oxygen = 6 X 16 = 96

Molar mass of CO2 = 3 X 44 = 132

Molar mass of water = 72

Initial pressure = 1 atm

Initial Temp = 298 K

Final Temp = 2000K

Now Initial pressure = Final Pressure + Pox

Pf = 1 X 1 / 7 = 0.143 atm

Pox = 1 X 6/7 =0.857 atm

Considering volume = 22.4 L or 0.022 m3

Mass of fuel = PVn/RT = 0.143 X 44 X 0.02 X 105/ 8314.4 X 298 = 0.125 X 105/ 2477691.2 = 0.0050 Kg

Mass of oxygen = 0.857 X 96 X 0.02 X 105/ 8314.4 X 298 = 1.64 X 105/ 2477691.2 = 0.066 Kg

Total mass = 0.0050 + 0.066 = 0.071 Kg

Mass of CO2 = 132/204 X 0.143 = 0.092 Kg

Mass of H2O = 72 / 204 X 0.143 = 0.050 Kg

Total mass = 0.092 + 0.050 = 0.142 Kg

P(CO2) = mRT/NV = 0.092 X 8314.4 X 2000 / 132 X 0.02 = 1529849.6/ 2.64 = 5.79 X 105 bar

Heat removed = Change in enthalpy

Explanation / Answer

propane gas burned completely with stochiometric amount of air in closed rigid combustion chamber. initial temperature and pressure for both substances are 25 C and 1 atm. The final temperature in the chamber is 2000K. Determine the final pressure, the heat removed, the entropy generation and the exergy destruction if the surroundings temperature is 25 C

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