For a constant temperature process involving an ideal gas, pressure can be expressed in terms of the volume:
The result of a heat engine process leading to expansion from to gives the work expression below.
Isothermal Process
Adiabatic Process
An adiabatic process is one in which no heat is gained or lost by the system. Thefirst law of thermodynamics with Q=0 shows that all the change in internal energyis in the form of work done. This puts a constraint on the heat engine process leading to the adiabatic condition shown below. This condition can be used to derive the expression for the work done during an adiabatic process.
The ratio of the specific heats γ = CP/CV is a factor in determining the speed of sound in a gas and other adiabatic processes as well as this application to heat engines. This ratio γ = 1.66 for an ideal monoatomic gas and γ = 1.4 for air, which is predominantly a diatomic gas.
Constant Pressure Process
Constant Volume Process
Isothermal Process
For a constant temperature process involving an ideal gas, pressure can be expressed in terms of the volume:
The result of a heat engine process leading to expansion from to gives the work expression below.
Isothermal Process
Adiabatic Process
An adiabatic process is one in which no heat is gained or lost by the system. Thefirst law of thermodynamics with Q=0 shows that all the change in internal energyis in the form of work done. This puts a constraint on the heat engine process leading to the adiabatic condition shown below. This condition can be used to derive the expression for the work done during an adiabatic process.
The ratio of the specific heats γ = CP/CV is a factor in determining the speed of sound in a gas and other adiabatic processes as well as this application to heat engines. This ratio γ = 1.66 for an ideal monoatomic gas and γ = 1.4 for air, which is predominantly a diatomic gas.