Calculating Efficiency of an Engine with Moving Piston

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SUMMARY

The efficiency of an engine with a moving piston is expressed by the formula: (Pressure(from burning))(Volume)/(moles)(delta H). This formula relates the mechanical work output to the heat energy input, where work is calculated as the pressure inside the cylinder multiplied by the change in volume (P*delta V). The heat input is determined by the number of moles of reactants multiplied by the change in enthalpy (delta H) per mole. Understanding this relationship is crucial for analyzing engine performance.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat engines.
  • Familiarity with the ideal gas law (PV = nRT).
  • Knowledge of the concept of enthalpy (delta H) in chemical reactions.
  • Basic mechanics, particularly work and force calculations (Work = Fd).
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  • Research the first law of thermodynamics as it applies to heat engines.
  • Learn about the Carnot efficiency and its implications for engine performance.
  • Explore the relationship between pressure, volume, and temperature in gas laws.
  • Investigate methods for calculating work done by a piston in various engine designs.
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Engineers, mechanical designers, and students studying thermodynamics who seek to understand the efficiency calculations of combustion engines.

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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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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