Methane gas at 25°C, 1 atm enters a reactor operating at steady-state and burns with 80% theoretical air entering at 227°C, 1 at
m. An equilibrium mixture of CO2, CO, H2O(g), H2, and N2 exits at 1427°C, 1 atm. Assume N2 is inert.
Determine, per kmol of methane entering;
(a) the composition of the exiting mixture.
(b) the heat transfer between the reactor and its surroundings, in kJ.
Neglect kinetic and potential energy effects.
Determine, per kmol of methane entering;
(a) the composition of the exiting mixture.
(b) the heat transfer between the reactor and its surroundings, in kJ.
Neglect kinetic and potential energy effects.
1 answer:
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Answer:
a) 75%
b) 82%
Explanation:
Assumptions:
Properties: The density of water
Conversions:
Analysis:
Note that the bottom of the lake is the reference level. The potential energy of water at the surface becomes gh. Consider that kinetic energy of water at the lake surface & the turbine exit is negligible and the pressure at both locations is the atmospheric pressure and change in the mechanical energy of water between lake surface & turbine exit are:
Then;
gh = 0.491 kJ/kg
= 1559 kW
Therefore; the overall efficiency is:
= 0.75
= 75%
b) mechanical efficiency of the turbine:
thus;