A low-pressure gas initially at 1 bar and occupying a volume of 2 m3 is isothermally compressed in a piston cylinder reducing its volume by a half. How much work is done on the system during this process? Assume a quasi-equilibrium process.

Consider 2 moles of an ideal monatomic gas at 350 K and 1 atm. First, let the gas expand isothermally and reversibly to twice the initial volume; Second, let this be followed by an isentropic expansion from twice to four times the initial volume. a) How ch heat (in added to the gas in each of these two processes? b) What is the temperature at the end of the 2nd process? c) suppose the 1st process is replaced by an irreversible expansion, into a vacuum, to a total volume twice the initial volume. What is the increase of entropy in the irreversible expansion (in J/K)?

A Carnot engine whose high-temperature reservoir is at 620 K takes in heat at a rateof 550 W and rejects it to the low-temperature reservoir at 335 W. a) What is the rate itdoes work at? b) What is the temperature of the low-temperature reservoir?