One mole of argon is initially at T1 and P1. It undergoes the following cycle of quasi-static processes:

1 - 2: isothermal compression to half of its volume

2 - 3: adiabatic expansion back to its original volume

3 - 1:an isochoric process back to T1 and P1

Assume that argon is well described as an ideal gas with constant heat capacities cV = (3/2)kB and cP = (5/2)kB.

(a) Sketch this process on a Pv diagram, where the x-axis is the molar volume v and the y-axis is the pressure P. Clearly label points 1, 2, and 3 and the direction of each process.

(b) Does this process do net work on the environment or require net work?

(c) If T1 = 25 C, find T3 in K.

(d) What are the signs of Q12 and Q31, the heat transfers in the first and last steps, respectively? For T1 = 25 C, find Qnet for the entire cycle