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Predict how much water you expect to melt from a 1kg ice cube in 3 hours. Note that the ice cube is sitting on an aluminium plate (to increase heat flow from conduction), the ice cube is in direct sunlight on a 25 degree celcius day, and a heat fan (rated at 2000W) is aimed directly at the ice block. Justify your answer.

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A small electric immersion heater is used to heat 82 g of water for a cup of instant coffee. The heater is labeled “150 watts” (it converts electrical energy to thermal energy at this rate). Calculate the time required to bring all this water from 25°C to 100°C, ignoring any heat losses. (The specific heat of water is 4186 J/kg·K.)
Estimate the number of panels in an array required to supply hot water to a summer home if 100 gal of tap water per day are to be heated from 10 to 50°C. Assume that the average efficiency of the array is 60 percent and that the average daily insolation intercepted by the array is 5 kw-hr/m²-day. Each panel has an area of 1.5 m². Consider an array of nine panels arranged in three parallel strings. Each string has three panels in series. Water flows into the array at 0.03 kg/sec and divides equally into each string. The water enters the array at 10°C and leaves at 50°C. The first panel of each string raises the temperature by 20°C; the second, by 15°C; and the third, by 5°C. The area of each panel is 1.5 m² and the intercepted insolation is 800 W/m². (a) Find the efficiency of each panel of the array. (b) Find the rate at which heat is collected by the array. (c) Determine the overall efficiency of the array.
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A 10-kg chunk of ice at -30°C is mixed with 1.84 kg of water at 50°C. Find how much water freezes after the mixture comes to equilibrium, assuming no heat gain or loss with the environment. Express your answer in kg.
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Suppose you have 2.5kg of steam at 100 degrees celcius occupying 6.5 meters cubed at a pressure of 1.013 x 10^5 Pa. When the steam condenses to water at 100 degrees celcius it occupies a volume of 0.55 meters cubed. If the latent heat of vaporization of water is 2.26 x 10^6 J/kg, what was the change in the water's internal energy?
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