Consider a small pot with a copper base. The base has a thickness of 2.0 mm and a diameter of 15 cm. Water in this pot is boiling at 100 °C. Heat transfer rate is estimated at 250,000 J/s. Assume that heat enters the water only from the bottom of the pot through the copper base. Find the temperature of the heating element on which the copper bottom rests.

A steel rod and an aluminium rod, with diameter 1.00 cm and length 25.0 cm are welded end to end. One end of the steel rod is placed in a large tank of boiling water at 100°C, while the far end of the aluminium rod is placed in a large tank of water at 20°C. The rods are insulated so that no heat escapes from their surface. Calculate the temperature at the joint and the rate of heat conduction through this rod.

To treat a burn on his hand, a person decides to place an ice cube on the burned skin. The mass of the ice cube is 12.5 g, and its initial temperature is -12.2 °C. The water resulting from the melted ice reaches the temperature of his skin, 30.5 °C. How much heat is absorbed by the ice cube and resulting water? Assume that all of the water remains in the hand. Constants for water can be found in this table. q= J

A cylindrical metal rod with a thermal conductivity of 449.1 W / (m K) has one end at 64.6°C and the other at 4.1°C.  It is 8.4 m long and has a radius of 1.1 cm.  What is the rate of heat transfer through the rod?

A piece of cold iron of mass 3 kg is lowered into 10 kg of water at 96 °C. The initial temperature of the iron is 18 °C. Assuming no loss of heat to the surroundings, calculate the final temperature of the mixture (water and iron), correct to two decimal places. Assume specific heat capacity of iron to be 500 J/kg°C. Specific heat capacity of water is 4190 J/kg°C. The final temperature of the mixture is °C.

At a chemical plant where you are an engineer, a tank contains an unknown liquid. You must determine the liquids specific heat capacity. You put 0.500 kgkg of the liquid into an insulated metal cup of mass 0.200 kgkg. Initially the liquid and cup are at 20∘C∘C. You add 0.500 kgkg of water that has a temperature of 80∘C∘C. After thermal equilibrium has been reached, the final temperature of the two liquids and the cup is 58.2 ∘C∘C. You then empty the cup and repeat the experiment with the same initial temperatures, but this time with 1.00 kgkg of the unknown liquid. The final temperature is 49.4 ∘C∘C. Assume that the specific heat capacities are constant over the temperature range of the experiment and that no heat is lost to the surroundings.   a,) Calculate the specific heat capacity of the liquid.   b.)Calculate the specific heat capacity of the metal from which the cup is made

A closed box is filled with dry ice at a temperature of -83.9 °C, while the outside temperature is 26.9 °C. The box is cubical, measuring 0.350 m on a side, and the thickness of the walls is 3.80 x 10-2 m. In one day, 3.35 x 106 J of heat is conducted through the six walls. Find the thermal conductivity of the material from which the box is made. Number 30251.3 Units

You drop an ice cube into an insulated container full of water and wait for the ice cube to completely melt. The ice cube initially has a mass of 80.0 g and a temperature of 0°C. The water (before the ice cube is added) has a mass of 770 g and an initial temperature of 26.0°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the container, or to the environment.)

A thermally isolated container has 479 grams of water in it and a 376 gram plastic block. The water had an initial temperature of 352 K. The plastic had an initial temperature of 300 K. The plastic and water reach an equilibrium temperature of 342 K. Water has a specific heat of 4.182 J/(gram K). What is the specific heat of the plastic block in J/(gram K)?

A glass device at 0 °C is filled with a liquid at the same temperature. The whole is heated to 40 °C and 0.12 N of the liquid is spilled. If the temperature is then raised to 100 °C, 0.16 N more liquid is spilled. Calculate the cubic expansion coefficient of the liquid (m°C-1). The cubic expansion coefficient of glass is 3x10-5 °C-1.