A tub containing 47 kg of water is placed in a farmer's canning cellar, initially at 10° C. On a cold evening the cellar loses thermal energy through the walls at a rate of 1200 J/s. Without the tub of water, the fruit would freeze in 4 h (the fruit freezes at -1° C because the sugar in the fruit lowers the freezing temperature).

The initial temperature of 60 g of ice is -200C. The specific heat capacity of ice is 0.5 cal/g.C0 and water’s is 1 cal/g.C0. The latent heat of fusion of water is 80 cal/g. How much heat is required to raise the ice to 00C and completely melt the ice? (b) How much additional heat is required to heat the water (obtained by melting the ice) to 620C?

A pot on the stove contains 500 g of water at 20°C. An unknown mass of ice that is originally at −10°C is placed in an identical pot on the stove. Heat is then added to the two samples of water at precisely the same constant rate. Assume that this heat is transferred immediately to the ice or water (in other words, neglect the increase in temperature for the pot). We will also neglect evaporation. The ice melts and becomes water, and you observe that both samples of water reach 60.0°C at the same time. Solve for the mass of the ice that was originally in the second pot. The specific heat of liquid water is 4186 J/(kg °C), and of solid water is 2060 J/(kg °C). The latent heat of fusion of water is 3.35  105 J/kg.

The temperature of a 5.00-kg lead brick is increased by 525 C°. If the specific heat capacity of lead is 128 J/(kg.C°), what is the increase in the mass of the lead brick when it has reached its final temperature? O 5.80 × 10- -11 kg O 9.12 × 10-11 kg O 1.60 × 10-12 kg O 3.73 × 10-12 kg O 2.80 × 10-12 kg

A rock of mass 0.332 kg falls from rest from a height of 15.1 m into a pail containing 0.332 kg of water. The rock and water have the same initial temperature. The specific heat capacity of the rock is 1940 J/(kg ·C°). Ignore the heat absorbed by the pail itself, and determine the rise in temperature of the rock and water in Celsius degrees.

Ice at 0 °C is placed in a Styrofoam cup containing 0.62 kg of lemonade at 32 °C. The specific heat capacity of lemonade is virtually the same as that of water; that is, c = 4180 J/(kg C°). After the ice and lemonade reach an equilibrium temperature, some ice still remains. The latent heat of fusion for water is Lf = 3.35 x 105 J/ kg. Assume that the mass of the cup is so small that it absorbs a negligible amount of heat, and ignore any heat lost to the surroundings. Determine the mass of ice that has melted, in grams.

When heating water for cooking food, it is common to use an electric or natural-gas cooktop. A metal pot with radius r=0.11m is filled with water to a depth of h=0.16m and heated on such a cooktop. The water is initially at a temperature of T0=25∘C.  a. Enter an expression for the amount of heat required to raise the temperature of the water to its boiling point of Tv=100∘C in terms of r, h, T0, Tv, ρ and c.  b. Calculate the amount of heat, in joules, required to raise the temperature of the water to its boiling point. Water has a density of ρ=1.000×103kg/m3 and a specific heat of c=4.186×103J/(kg⋅∘C) c. According to the U.S. Energy Information Administration, the average cost of electricity in the U.S. is about $0.10 per kilowatt-hour, or $0.028 per megajoule of electrical energy. Assuming all the electrical energy goes into heating the water on the cooktop, how much does it cost, in dollars, to heat the pot of water with electricity? Ignore the heat required to raise the temperature…

Water with a mass of mW = 0.400 kg and temperature of TW = 15.5°C is poured into an insulated bucket containing mI = 0.19 kg of ice at a temperature of TI = -15°C. Assume the specific heats of ice and water are constant at cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively. The latent heat of fusion for water is Lf = 334×103 J/kg.  Part (a)  What is the final temperature of the mixture, in degrees Celsius?  Tfinal =         Part (b)  Enter an expression for the mass of ice, in kilograms, that has melted when the mixture reaches its final temperature.  mmelt =     Part (c)  Calculate how much ice, in kilograms, has melted when the mixture reaches its final temperature.  mmelt =