What is the work done in an isobaric expansion?
(-) Work denotes expansion
(+) work denotes compression
Pext is external pressure
In mechanics,work done(work=force.displacement of body) by a body is independent of path.It only depends on the initial and final state of the body.However in thermodynamics,the work done by an ideal gas(work=pressure.change in volume of gas) depends on the path taken(isochoric,isothermal,isobaric,adiabatic)
Cv is a for a constant volume, and there is therefore no work done in the expansion whereas as Cp accounts for the work done by the gas during its expansion, as well as the change in its internal energy. Thusly Cp is generally bigger than Cv. Intuitively this would be very simple to work out yourself. We used to have to work this out ourselves back in my day, not just resort to cheap…
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