Calculating Efficiency of an Engine with Moving Piston

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The efficiency of an engine with a moving piston is expressed as (Pressure from burning)(Volume)/(moles)(delta H). This formula relates the work done by the piston, calculated as pressure times the change in volume, to the heat energy input, which is the product of the number of moles and the enthalpy change (delta H). The efficiency essentially measures how effectively the engine converts heat energy into mechanical work. Understanding these components clarifies the relationship between work output and heat input in the context of engine performance. The discussion emphasizes the importance of these calculations in evaluating engine efficiency.
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A question is being asked about a combustion chamber that has a moving piston; "an engine."
"Which expression expresses the efficiency of the engine?"
The answer given is:
(Pressure(from burning))(Volume)/(moles)(delta H)

While this looks some thing like PV = nRT, I don't fully understand it. What's the "efficiency" of something?
I think that the delta H is representing the "temp released per mole" which is then multiplied by number of moles. That leaves "efficiency" to be something like an "R" value.
In the explained answer section it mentions something about Work = Fd = P*delta V. P*delta V is what's on top of the fraction. This is divided by the "heat released." Why?
Any input will be helpful, thanks.
 
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edanzig said:
A question is being asked about a combustion chamber that has a moving piston; "an engine."
"Which expression expresses the efficiency of the engine?"
The answer given is:
(Pressure(from burning))(Volume)/(moles)(delta H)

While this looks some thing like PV = nRT, I don't fully understand it. What's the "efficiency" of something?
I think that the delta H is representing the "temp released per mole" which is then multiplied by number of moles. That leaves "efficiency" to be something like an "R" value.
In the explained answer section it mentions something about Work = Fd = P*delta V. P*delta V is what's on top of the fraction. This is divided by the "heat released." Why?
Any input will be helpful, thanks.
For a heat engine, the efficiency is defined as the mechanical work output/(heat) energy input.

The work output is the work done by the piston. This work is the pressure inside the cylinder x the change in volume (P = force/area and ΔV = piston displacement x area).

The heat input is the heat flow from the reaction at constant pressure, which is the number of moles of reactant x ΔH of the reaction (per mole).

AM
 
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