A sample of dry air has initial pressure p1 = 1000 hPa and temperature T1 = 300k. It undergoes a process that takes it to a new pressure p2 = 500 hPa with unchanged temperature T2 = T1. Compute the mechanical work per unit mass performed by the sample under the following scenarios:
a) Isochoric pressure reduction to p2 followed by isobaric expansion to final state.
b) Isobaric expansion to final specific volume s2 followed by isochoric pressure reduction to final state.
c) Isothermal expansion to final state.
work = ∫pds
s = Volume/mass
The Attempt at a Solution
a) I think pressure held constant at 500 and the integral preformed between s1 and s2, to get -500*(s2-s1).
b) The integral is ∫p(s)ds with limits s1 to s2 from to give p(s)*(s2-s1), then evaluate at p = 500 for the same result ???
c) The previous two were isothermal???