The initial state of a quantity of monatomic ideal gas is p = 1 atm, v = 1 liter, and t = 373 k. the gas is isothermally expanded to a volume of 2 liters and is then cooled at constant pressure to the volume v. this volume is such that a reversible adiabatic compression to a pressure of 1 atm returns the system to its initial state. all of the changes of state are conducted reversibly. calculate the value of v and the total work done on or by the gas.