Problem 2 (Due Monday, September 13)

A piston contains 1 kg of argon gas at 300 K and 1 bar. The initial volume occupied by the gas is 0.624 m³. Heat, in the amount of 104.2 kJ, is added to elevate the temperature of the argon to 500 K while the pressure in the piston remains constant. The final gas volume is 1.041 m³.

1. If the expansion is reversible, calculate work associated with the process and draw a P-V diagram which schematically shows this calculation.
2. Is the value of work positive or negative? Why?
3. Calculate the extensive value U^t.
4. Calculate the extensive value H^t.
5. Calculate the intensive value H.
6. Prove that for any reversible isobaric process, such as the one above, H^t=Q.