1. A copper flask with a volume of 150 cm3 is filled to the brim with olive oil. The coefficient of volume expansion is 51 x 10-6 C-1 for the flask and 680 x 10-6 C-1 for the olive oil. If the temperature of the system is increased from 6 C to 31 C, how much oil overflows from the flask?
(a) 10 cm3
(b) 15 cm3
(c) 2.4 cm3
(d) 5.2 cm3
(e) 7.8 cm3
2. Block A has a mass M and an initial temperature of 0 C. Block B has a mass of 2M and an initial temperature of 100 C. Both blocks are made of the same material. Now the blocks are brought into thermal contact, so that they both end up at the same final temperature T. Assuming no heat is lost to the surroundings, then
(a) T > 50 C
(b) T = 50 C
(c) T < 50 C
3. The specific heat of alcohol is about half that of water. Suppose you have identical masses of alcohol and water. The alcohol is initially at temperature TA. The water is initially at a different temperature TW. Now the two fluids are mixed in the same container and allowed to come into thermal equilibrium, with no loss of heat to the surroundings. The final temperature of the mixture will be
(a) closer to TA than TW.
(b) closer to TW than TA.
(c) exactly halfway between TA and TW.
3. It takes a certain amount of time to boil away a pot of water. How long would it take to boil away the same pot of water if the applied heat rate was the same but the latent heat of vaporization of water was larger?
(a) It would take more time.
(b) It would take less time.
(c) It would take the same time.
4. A metal cup has mass 0.12 kg and initial temperature 20 C. Into this cup is poured 0.30 kg of water (specific heat 4190 J/kg-C) , which is initially at temperature 70 C. The final temperature of the cup-water system is 66 C. Assuming no heat is lost to the surroundings, what is the specific heat of the cup.
(a) 150 J/kg-C
(b) 300 J/kg-C
(c) 460 J/kg-C
(d) 910 J/kg-C
(e) 5200 J/kg-C
5. You have a large styrofoam container containing 5 kg of ice (specific heat = 2000 J/kg-C) at -20 C. You want to add just enough water (specific heat = 4190 J/kg-C) at an initial temperature of 25 C so that the final temperature of the system is 0 C with all the ice melted. The latent heat of fusion of water is 3.34 x 105 J/kg. How much water should you add?
(a) 18 kg
(b) 25 kg
(c) 9.5 kg
(d) 2.7 kg
(e) 1.4 kg