A 0.1 kg chunk of ice at 0 C is added to 0.5 kg of water at 80 C. Assuming no heat is lost to the surroundings, what is the temperature when thermal equilibrium is reached? ( The specific heat of ice is 2090 J/(kg K), the specific heat of water is 4186 J/(kg K), and the latent heat of fusion of water is 334 kJ/kg.)

Radioactive decay of granite and other rocks in Earth's interior provides sufficient energy to keep the interior molten, to heat lava, and to provide warmth to natural hot springs. This is due to the average release of about 0.03 J per kilogram each year. Find an increase in temperature for a thermally insulated chunk of granite that takes about 12.6 million years to change temperature. (Assume that the specific heat capacity cc of granite is 800 J/kg⋅C∘J/kg⋅C∘. Use the equation Q=cmΔTQ=cmΔT.)

A 1040kg iron bar with a length of 2.00m and temperature of −45.25˚C is immersed in 50kg of liquid water at 90˚C. The specific heat of liquid water 4.186 kJ/(kg˚C), and the latent heat of fusion of water is 333kJ/kg. The specific heat of iron is 0.45kJ/(kg˚C) and its melting point is 1538˚C. The goal is to determine the final temperature of the system (iron+water) once it reaches thermal equilibrium, and also the state of each substance (solid, liquid, gas)   d) If you did (c) correctly, the iron will still be colder than 0˚C, so the system is not yet in thermal equilibrium. As the iron heat up more, the water, already at 0˚C, will cool down. How much mass of water becomes ice?  e) What is the final temperature of the system? f) Given the final temperature you have calculated for the system, what is the change in the length of the iron bar? (The coefficient of linear expansion of iron is 12x10–6 / ˚C ).

A hot steel plate with a surface area of 2.17 m2 and a constant surface temperature of 165°C is exposed to ambient air at 24°C.  If the convection heat transfer coefficient is 15.4 W/m2· K, what is the rate of heat transfer (in W) from the plate to the air [round your final answer to zero decimal places]?

In an insulated vessel, 239 g of ice at 0°C is added to 635 g of water at 15.0°C. (Assume the latent heat of fusion of the water is 3.33 x 10° J/kg and the specific heat is 4,186 J/kg · °C.) (a) What is the final temperature of the system? °C (b) How much ice remains when the system reaches equilibrium?