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Carnot Cycle for a Heat Engine

The Carnot cycle is a theoretical thermodynamic cycle conducted on an ideal gas consisting of an isothermal expansion, an isentropic expansion and an isothermal compression, concluding with an isentropic compression.

The thermal efficiency equals 1 minus the ratio of the cold temperature of the cycle to the hot temperature of the cycle.

Formula

QuantityVariable[Subscript["η", "th"], "ThermalEfficiency"] == 1 - QuantityVariable[Subscript["T", "c"], "Temperature"]/QuantityVariable[Subscript["T", "h"], "Temperature"]

symbol description physical quantity
ηth thermal efficiency "ThermalEfficiency"
Tc cold reservoir temperature "Temperature"
Th hot reservoir temperature "Temperature"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Carnot Cycle for a Heat Engine"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Carnot Cycle for a Heat Engine"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject["Carnot Cycle for a Heat Engine"], {QuantityVariable[ \!\(\*SubscriptBox[\("T"\), \("h"\)]\),"Temperature"] -> Quantity[400, "Kelvins"], QuantityVariable[ \!\(\*SubscriptBox[\("T"\), \("c"\)]\),"Temperature"] -> Quantity[300, "Kelvins"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1824

Publisher Information