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Carnot Cycle for a Heat Pump

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 the ratio of the hot temperature of the cycle to the difference between the hot and cold temperatures of the cycle.

Formula

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

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

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

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

Source Metadata

  • Creator:
  • Date: 1824

Publisher Information