1. An uninsulated cylinder with a locked piston containing 0.35 moles of gas is placed in a boiling water bath at TH = 100°C. The volume of the piston is 0.52 liters. This point is labeled as 1 in the diagram below. P. TH > Te TH Tc 3 Vi V2 (a) The piston is unlocked and the gas is allowed to expand to a volume of 1.14 liters, moving the system from point 1 to point 2. What is the heat flow? What is the work done by the gas? (b) The piston is locked and moved to an ice bath at Tc = 0°C, moving the system from point 2 to point 3. What is the heat flow? What is the work done by the gas? (c) The piston is unlocked to move the system from point 3 to point 4. What is the heat flow? What is the work done by the gas? (d) To move the system from point 4 to point 1, the cylinder is locked and the gas is returned to the boiling water bath. What is the heat flow? What is the work done by the gas? (e) This heat engine is called a Stirling Cycle. What is its efficiency? (f) If a Carnot engine were operated using the same boiling water bath and ice bath as the hot and cold reservoirs, what would its efficiency be?

1. An uninsulated cylinder with a locked piston containing 0.35 moles of gas is placed in a boiling water bath at TH = 100°C. The volume of the piston is 0.52 liters. This point is labeled as 1 in the diagram below. P. TH > Te TH Tc 3 Vi V2 (a) The piston is unlocked and the gas is allowed to expand to a volume of 1.14 liters, moving the system from point 1 to point 2. What is the heat flow? What is the work done by the gas? (b) The piston is locked and moved to an ice bath at Tc = 0°C, moving the system from point 2 to point 3. What is the heat flow? What is the work done by the gas? (c) The piston is unlocked to move the system from point 3 to point 4. What is the heat flow? What is the work done by the gas? (d) To move the system from point 4 to point 1, the cylinder is locked and the gas is returned to the boiling water bath. What is the heat flow? What is the work done by the gas? (e) This heat engine is called a Stirling Cycle. What is its efficiency? (f) If a Carnot engine were operated using the same boiling water bath and ice bath as the hot and cold reservoirs, what would its efficiency be?