8 Due 2/13

1. Hot 500$\POW9,{\circ}$C copper with a volume of 2 L is dumped in 200 L light oil initially at 20$\POW9,{\circ}$C. Assuming no heat transfer with the surroundings, what is the final temperature?

2. Carbon dioxide changes in temperature from 500 to 1300 K. Find the change in specific internal energy, in kJ/kg,
   1. using a constant $C_v$ from table A-2(a)
   2. using the $C_v$ evaluated from equation in A-2(b) at the average temperature of 900 K.
   3. using the $C_v$ evaluated from the equation in A-2(c) at the average temperature of 900 K.
   4. Using the values listed in table A-20

3. Air in a piston cylinder at 600 kPa, 290 K has a volume of 0.01 m$\POW9,{3}$. An isobaric process produces 18 kJ of work. Find the final temperature of the air and the heat transfer input.

4. Air is kept inside a cylinder by a piston constrained by a linear spring. Initially there is 3 kg of air at 300 K and 160 kPa. It is then heated to 900 K to a final volume of twice the initial volume. Plot the process in a $Pv$ diagram. Find the work done by the substance and heat added.