A 0.40 kg iron horseshoe that is initially at 500 °C is dropped into a bucket containing 20 kg of water at 22 °C. What is the final equilibrium temperature? Neglect any energy transfer to or from the surroundings. Specific heat capacity for iron, cFe = 448 J kg-1 K-1, specific heat for water, cw = 4186 J kg-1 K-1.

Following vigorous exercise, the internal body temperature of a 72.5-kg person is 40.0°C. At what rate, in watts, must the person transfer thermal energy to reduce the body temperature to 37.0°C in 30.0 min, assuming the body continues to produce energy at the rate of 150 W?

A pot holds 2.95 kg of liquid water at 100.0 °C (at the boiling point). The bottom of the pot is circular, with a radius of 12.5 cm and a thickness of 1.00 cm. The pot is made of stainless steel, which has a thermal conductivity of 15.1 W m-! K-1, The pot is put to a flame so that the temperature directly underneath the pot is 145.0 °C. (a) Find the rate of heat conduction through the bottom of the pot, in units of Watts (W). (b) How long will it take to boil all of the water away, in minutes? Assume that there is only heat conduction through the bottom of the pot, and ignore any other type of heat flow to the water. The latent heat of vaporization of water is 2,260,000 J kg-!.

How much thermal energy (in J) is required to boil 1.90 kg of water at 100.0°C into steam at 157.0°C? The latent heat of vaporization of water is 2.26 x 10° J/kg and the specific heat of steam is 2010 kg · °C HINT