(c) If melting ice of mass 80 g is added to 400 g of water at 20 °C, what will be the final temperature of the water, assuming that no energy is lost to the surroundings? The specific heat capacity of water is 4200 J kg °C'. The specific latent heat of fusion of ice is 3.34 × 10° J kg'.

(II) (a) How much power is radiated by a tungsten sphere (emissivity e = 0.35) of radius 19 cm at a temperature of 25°C? (b) If the sphere is enclosed in a room whose walls are kept at –5°C, what is the net flow rate of energy out of the sphere?

(I) An automobile cooling system holds 18 L of water. Howmuch heat does it absorb if its temperature rises from 15°Cto 95°C?

When builders were constructing a sidewalk they forgot to include an expansion joint between two of the segments, L = 2.4 m at To = 20° C. Assume the opposite ends of each segment are fixed and the linear expansion coefficient is α = 12 × 10-6 °C-1.   (a) As the day heats to Tb the segments press against each other and begin to raise the junction a distance h forming a triangle. What is the height (in meters) at Tb=110° F?  (b) What should the gap have been to prevent them from touching in meters?

(6) The Eiffel tower is built from iron and it is about 324 m high. Its coefficient of linear expansion is approximately 12 x 10-6 (C°)-l and assumed constant. What is the increase in the tower's length when the temperature changes from 0°C in winter to 30°C?

(II) The lowest pressure attainable using the best availablevacuum techniques is about 10-12 N/m2 At such a pressure,how many molecules are there per cm3 at 0°C?

(II) How long does it take a 750-W coffeepot to bring to aboil 0.75 L of water initially at 11°C? Assume that the partof the pot which is heated with the water is made of 280 gof aluminum, and that no water boils away.

Occasionally, huge icebergs are found floating on the ocean’s currents. Suppose one such iceberg has a regular volume and is 120 km long, 35 km wide, and 230 m thick. (i)    How much heat would be required to melt this iceberg (assumed to be at 0°C) into liquid water at 0°C? (The density of ice is 917 kg/m3. The latent heat of fusion for ice is 33.5 x 104 J/kg.) (ii)   Assume the average annual energy consumption by a developed country in the past years was 9.3 x 1019 J. If this energy were delivered to the iceberg every year, how many years would it take before the ice is completely melted? (iii)  What will be the outcome(s) and possible implication(s) in (ii) if the time rate of the changes in average annual energy consumption is a positive number?

(II) Typical temperatures in the interior of the Earth and Sun are about 4000°C and 15 x 106 °C, respectively. (a) What are these temperatures in kelvins? (b) What percent error is made in each case if a person forgets to change °C to K?