ames has a mass of 66 kg and his resting metabolic rate is about 106 watts, or about 90 kcal per hour. Suppose that James immerses himself in a tub containing 67 liters of water at a starting temperature of 0∘ C and then maintains a metabolic rate equal to twice his normal resting metabolic rate until all of the water reaches his normal body temperature of 37∘ C. How long would it take to heat the water to 37∘ C?

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.

A chunk of metal with a mass of 85.0 grams and a specific heat of 759 joules per kilogram·kelvin is heated to 78.9 degrees Celsius and placed in 122 milliliters of water (c = 4186 J/kg·K) at 18.6 degrees Celsius. What is the final temperature of the metal and water? Hint: The heat lost by the metal is gained by the water, so the sum of the heats is zero.

Super Invar, an alloy of iron and nickel, is a strong material with a very low coefficient of thermal expansion (0.20×10^6 C∘). A 2.5 m long tabletop made of this alloy is used for sensitive laser measurements where extremely high tolerances are required.How much will this alloy table expand along its length if the temperature increases 6.0 C∘?How much will a 2.5m long table made of steel expand along its length if the temperature increases 6.0 C∘?

An ice block of mass 1.2000000000000002 kg at an initial temperature of –11 ∘C is put into a copper pot of mass 2.5 kg containing 4.3 L of water at 21 ∘C. If you heat up the pot, what is the amount of energy (in J) you need to convert all the ice and the water into steam? (Assume that no energy is lost from the system.)   You may need some or all of the following constants: The specific heat of ice is 2200 J/kg ∘C, the specific heat of copper is 386 J/kg ∘C and the specific heat of water is 4186 J/kg ∘C. The latent heat of fusion of ice is 334000 J/kg and the heat of vaporization for water is 2256000 J/kg .

A 63 kg man had a fever of 41.45m ºC (normal body temperature is 37 ºC). Assuming that the human body is mostly water, how much heat was required to raise its temperature that much?

If her body retains 10 J of thermal energy for each joule of work done while lifting, how many times must she lift the barbell to warm her body 0.50∘C?

How many grams of coffee must evaporate from 350 g of coffee in a 100-g glass cup to cool the coffee from 95.0C to 45.0C? You may assume the coffee has the same thermal properties as water and that the average heat of vaporization is 2340 kJ/kg (560 cal/g). (You may neglect the change in mass of the coffee as it cools, which will give you an answer that is slightly larger than correct.)