two moles of an ideal gas is initially at P = 2*20^5 Pa expands adiabaticaly to four times its original volume. it is then compressed at constant pressure to its original volume. what is the change in entropy of the gas
Cp = 20.78 joules/mole-deg
Cv = 12.47 joules/mole-deg
gamma = 5/3
adiabatic expansion --> PV^gamma = constant, Q = 0
isovolumetric compression --> nCv(deltaT)
entropy deltaS= deltaQ/T
The Attempt at a Solution
i am not sure how to use the adiabatic equation because although P and V is given aswell as gamma, i can solve for 'constant' but where does constant come into play?
since for an adiabat Q = 0, do i just take it as zero and move on or do i actually need to solve for something.
as for the isovolumetric compression, moles is given, Cv is given but not deltaT so i solved the Pv=nRT eq for T and subbed it in, i then assumed P and V to be constants as stated in the problem?? and solved for Q getting 1.5 joules
when i solved for entropy i did (compression - expansion, so isovolumetric minus adibat = i subbed in the equation from the isovolumetric equation in and cancelled out the T's and was able to get deltaS = 24.94 joules per kelvin
did i take the correct approach? help appreciated...