An ideal gas is taken through a cyclic process consisting of three successive steps: A → B, B → C, and C → A. The data for each step are given below.
• A → B: The gas does 600J of work on the surroundings while 900J of heat is supplied to it.
• B → C: The volume remains constant. The gas loses 500J of heat to the surroundings; no work is done.
• C → A: The gas is compressed; 200J of work is done \on the gas, and the cylinder is perfectly insulated so that no heat enters or leaves during this step.
a. (a) For each step, calculate the change in internal energy ΔU of the gas.
b. (b) Determine the net change in internal energy over the complete cycle.
c. (c) Using your answer in part (b), explain whether the overall cycle qualifies as a cyclic process according to thermodynamic definition.
d. (d) From the given information, classify the step C → A as isothermal, adiabatic or otherwise, giving a clear justification.