1. Sketch the temperature vs time curve for 80 ^oC hot chocolate put outside on a day when the temperature outside is 0^oC.

2. Sketch a temperature vs time curve for a mixture of ice and water that is heated until the water boils. Show the point on your curve at which the ice finishes melting and the point at which the water begins to boil.

3. Two neighboring houses are identical except for one thing, one has a black roof and the other has a white roof.

a) Which is cooler in the summer? Explain.

b) Which cools off the fastest at night? Explain.

4. Distinguish clearly between temperature, heat and internal energy.

5. In lab you heated 30 grams of ice mixed with 80 grams of 0^o water until all the ice melted and the water finally boiled. Given that the actual value of latent heat of fusion and vaporization for water respectively are 3.33x10⁵J/kg and 2.26x10⁶ J/kg, the ice melted at time t = 1000 s, the voltage and current are respectively 9V and 10 A, the temperature was 40^o C at time t = 1240 s:

 a) Find the experimental value L_{f exp} of the latent heat of fusion for water.

b) Find the percent error in L_f exp .

c) Find the experimental value c_{w exp} , of the specific heat of water.

d) Find the percent error in c_{w exp} .

6. One mole of an ideal gas does 3000 J work on the surroundings as it expands isothermally to a final pressure of 1 atm and volume of 25 L. Determine the

a) the temperature of the gas and

b) initial volume

7. Gas in a container is at a pressure of 2x10⁵ N/m2 and a volume of 4.0 m³ . if the pressure varies with volume according to the formula P = A( V² -V) to twice its initial volume?

a. Find the value of A (including units).

b. What is the work done by the gas

8. A heat engine performs 200 J of work in each cycle and has an efficiency of 30 %. For each cycle of operation,

a) How much heat is absorbed from the heat source? 

b) How much heat is expelled to the cool source ?

A iron ball is dropped onto a concrete floor from a height of 10 m. On the first rebound it rises to a height of 1 m. Assume that all the macroscopic mechanical energy lost in the collision with the floor goes into the ball. (none lost to the floor or air). The specific heat of iron is 448 J/(kg ^oC).

9. How much has the temperature of the ball risen after the first collision with the floor?

10. a) Has heat been added to the ball? If so, by what?

b) Has work been done on the ball? If so, by what?