13. The latent heat of fusion for water is 33.5 × 10ʻ J/kg, while the latent heat of vaporization is 22.6 × 10° J/kg. What mass m of water must be frozen in order to release the amount of heat that 1.00 kg of steam re- leases when it condenses?

Arelyz and Hyeonggyun drop a 378.0-g piece of metal at 100.0°C into 447.0 g of water at 20.0°C. The final temperature of the system is measured to be 50.0°C. What is the specific heat of the metal in J/kgK, assuming no heat is exchanged with the surroundings or the cup containing the water? The specific heat of water is 4190 J/(kg K).

A chunk of metal has a mass of 600g and has been in boiling water for several minutes. It is quickly dropped into an insulating Styrofoam beaker containing 1.20 kg of water at room temperature (20.0°C). After waiting few minutes, you observe that the water's temperature has reached a constant value of 23.0 °C. The specific heat of water is 4190 J/(kgK). a)  Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat of the metal? b)  If the heat absorbed by the Styrofoam actually is not negligible, what would be the specific heat of the metal? A)Greater than the one calculated in part (a). B)Smaller than the one calculated in part (a). C)Same as the one calculated in part (a).

1. A block of iron with a mass of 2.00 kg is initially at a temperature of 600° C. It is dropped into an insulating container that holds 0.400 kg of ice initially at -15.0° C and 0.700 kg of water that is initially at 25.0° C. What will be the final temperature of the system? (Hint: all of the ice melts, you're welcome)

A 60.0-kg runner expends 359 W of power while running a marathon. Assuming 12.5% of the energy is delivered to the muscle tissue and that the excess energy is removed from the body by sweating, determine the volume of bodily fluid (assume it is water) lost per hour. (At 37.0°C the latent heat of vaporization of water is 2.41 ✕ 106 J/kg.) cm3

60. Go (a) Objects A and B have the same mass of 3.0 kg. They melt when 3.0 × 10ʻ J of heat is added to object A and when 9.0 × 10ʻ J is added to object B. Determine the latent heat of fusion for the substance from which each object is made. (b) Find the heat required to melt object A when its mass is 6.0 kg.

*15. GO A pot of water is boiling under one atmosphere of pressure. As- sume that heat enters the pot only through its bottom, which is copper and rests on a heating element. In two minutes, the mass of water boiled away is m = 0.45 kg. The radius of the pot bottom is R = 6.5 cm, and the thickness is L = 2.0 mm. What is the temperature Tg of the heating element in contact with the pot?

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.