Consider a Carnot engine operating between 500C and 0C using 1.00mol of an ideal monoatomic gas. a) Draw the thermodynamic cycle with the proper labels for all the state variables involved in the overall cycle. (10 points) b) What does the area between the curves represent? (5 points) c) Given V1=0.010m3 and V2=0.100m3, determine V3 and V4. (15 points each) d) Determine q,w, and U for each step. (10 points each =120 points) e) Determine q,w, and U for the overall process. (5 points each =15 points) f) Calculate the entropy change for each of the four steps in the Carnot cycle. (10 points each =40 points) g) Calculate the overall change in entropy for the complete process. (5 points)