Wb for Isentropic, Int. Rev. Processes with IG's

Can the equations for Wb be simplified if our process is

isentropic

as well as

internally reversible

(and therefore

polytropic

) and the system contains an ideal gas:

isentropic

process with constant heat capacities:
Equation.
Recall for an

ideal gas

:
Equation.
Equation.
Rearranging:
Apply the 1st Law. Remember that processes that are

internally reversible

and

isentropic

are also

adiabatic

.
0
In this case, Q equals zero.
Equation.
Equation.
Equation.
Equation.
Equation.
Equation.
Equation.
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Ch 7, Lesson E, Page 17 - Wb for Isentropic, Int. Rev. Processes with IG's