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Carnot Cycle for a Refrigerator

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 cold 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", "c"], "Temperature"]/(-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 Refrigerator"]
Out[1]=

Get the formula:

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

Use some values:

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

Source Metadata

  • Creator:
  • Date: 1824

Publisher Information