Given a sample of nitrogen gas (assume ideal gas conditions), the following conditions were observed inside the container. n = 0.75 moles at 253 K, and pressure = 0.5 atm. Then, an ISOTHERMAL IRREVERSIBLE COMPRESSION on the system forced by a constant Pexternal = 10 atm reduced the initial volume by a factor of 2. Assume diathermal walls on this container. Calculate the entropy change of the system, surroundings and universe.
The entropy change of the system is under ISOTHERMAL conditions, so, dT = 0, and,
dS = nRln(P2/P1)
dS = (0.75 mol)(8.314 J/Kmol)ln(1/2)
However, I am having a difficult time conceptualizing the entropy change of the surroundings. This is obviously an integral part of computing the entropy change of this particular universe.
I'll appreciate any feedback! Thank you.