Two moles of an ideal gas are confined in a piston-cylinder device, initially at P = 5 bar and T = 300 K. The surroundings are also at T = 300 K. The atmosphere is at P=1 bar but clamps hold the piston in place, as shown in Figure 4-2. When the clamps are removed, the gas expands rapidly—so rapidly that heat transfer is negligible during this step—until the pressure of the gas is P = 1 bar. Heat is then transferred to the gas from the surroundings until the gas reaches a final state of P = 1 bar and T = 300 K. Find the total work done by the gas on the surroundings, and the total heat transferred to the gas.