1. Suppose 3 moles of a monatomic ideal gas occupies 4 m3 at a pressure of 1800 Pa. Q1: Find the temperature of the gas in Kelvin. 288.63 K Q2: Find the total internal energy of the gas. 10800 J Q3: Find the average velocity of atoms in the gas. (Hint: I suggest finding their kinetic energy first; assume that each atom has a mass of 7x10-27 kg) 1306.5 m/s

2. Suppose the gas undergoes an isobaric expansion to a volume of 6 m3. (Don't forget to include + and - in each of the problems below) Q1: Find Q 9000 J Q2: Find W -3600 J Q3: Find U 5400 J

3. Suppose the gas then undergoes adiabatic expansion to a pressure of 760 Pa and a volume of 7.5 m3. Q1: Find Q 0 J Q2: Find W -7650 J Q3: Find U -7650 J

4. The gas then undergoes isothermal compression to a volume of 4 m3. Q1: Find Q -3583.1 J Q2: Find W 3583.1 J Q3: Find U 0 J

5. The gas then undergoes an isochoric process and returns to 1800 Pa of pressure. Q1: Find Q 2250 J Q2: Find W 0 J Q3: Find U 2250 J

6. Draw the PV diagram for this entire process and calculate the net change in internal energy (U).

7. An ideal heat engine operates between the temperatures 680 C and 10 C. Q1: How much heat must be given to the engine to produce 1600 J of work? 2276.18 J Q2: How much heat is discarded to the cold reservoir as this work is done? 676.18 J

8. Suppose a 7 kg piece of iron (c=450 J/kgK) at 620 K is put in thermal contact with a 5 kg piece of lead (c=130 J/kgK) at 200 K, find the final temperature of the two metals. 548.16 K

9. The coefficient of linear expansion for steel is 13x10-6 m/mK. Suppose a 15 m piece of steel is heated from 500 K to 1900 K, find its new length. 15.273 m

10. Suppose you have a 0.3 kg icicle (c=2093 J/kgK) at -8 C. You want to eventually turn this chunk into steam (c=1890 J/kgK) at a temperature of 110 C. The only thing you possess which will help you reign triumphant is an easy-bake oven you stole from your sister years ago. It, of course, is powered by a 60 W light bulb which is only 70% efficient. How long will it take to achieve glory? (Lfus= 3.33x105 J/kg, Lvap=2.26x106 J/kg) 21,766 s