Calculating Efficiency of an Engine with Moving Piston

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In summary, the question is about the efficiency of an engine with a moving piston, and the answer is given as (Pressure(from burning))(Volume)/(moles)(delta H). The efficiency is defined as the mechanical work output divided by the heat energy input, and can be expressed as pressure x volume / moles x change in enthalpy.
  • #1
edanzig
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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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  • #2
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
 

Related to Calculating Efficiency of an Engine with Moving Piston

1. How is the efficiency of an engine with a moving piston calculated?

The efficiency of an engine with a moving piston is calculated by dividing the output energy by the input energy. The output energy is the work done by the engine, while the input energy is the energy provided to the engine.

2. What factors affect the efficiency of an engine with a moving piston?

The efficiency of an engine with a moving piston is affected by various factors such as the type of fuel used, the design of the engine, the temperature and pressure of the working fluid, and the friction between the piston and the cylinder walls.

3. How does the type of fuel used affect the efficiency of an engine with a moving piston?

The type of fuel used can greatly affect the efficiency of an engine with a moving piston. Fuels with a higher energy density, such as diesel or gasoline, can produce more power and therefore increase the efficiency of the engine.

4. Can the efficiency of an engine with a moving piston be improved?

Yes, the efficiency of an engine with a moving piston can be improved through various methods such as optimizing the design of the engine, using more efficient fuels, reducing friction, and improving the combustion process.

5. How is the efficiency of an engine with a moving piston compared to other types of engines?

The efficiency of an engine with a moving piston can vary depending on the factors mentioned above. However, in general, it is considered to be lower than other types of engines such as gas turbines or steam engines, which have a higher efficiency due to their more complex designs and use of high-pressure and high-temperature working fluids.

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