Consider the following cycle performed on an ideal gas: Step 1: isobaric expansion from (1 , 1 , 1 ) to (1 , 2 , 2 ) Step 2: isochoric cooling from (1 , 2 , 2 ) to (3 , 2 , 3 ) Step 3: isobaric compression from (3 , 2 , 3 ) to (3 , 4 , 4 ) Step 4: isochoric heating from (3 , 4 , 4 ) to (1 , 1 , 1 ) For an ideal gas, the entropy can be defined as: = () + () + K where K is a constant and = 3/2. a. For step 1, express , , and in terms of the pressures, volumes, temperatures, and other relevant constants. b. For step 2, express , , and in terms of the pressures, volumes, temperatures, and other relevant constants. c. Plot S as a function of T for each step in the cycle and label all steps.