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 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?

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 0.200-kg mass of metal with a specific heat of 1255.8 J/kg-°C, initially at 90°C, is placed in a 0.500-kg calorimeter, with a specific heat of 418.6 J/kg-°C, initially at 20°C. The calorimeter is filled with 0.100 kg of water, initially at 20°C. The specific heat of water is 4186 J/kg-°C. What is the final temperature once the combination of metal, calorimeter, and water reach equilibrium? O 70°C 40°C 60°C O 50°C

To defog the rear window of an automobile, a very thin transparent heating element is attached to the inner surface of the window. A uniform heat flux of 1300 W/m2 is provided to the heating element for defogging a rear window with thickness of 5 mm. The interior temperature of the automobile is 22°C and the convection heat transfer coefficient is 15 W/m2·K. The outside ambient temperature is -5°C and the convection heat transfer coefficient is 100 W/m2·K. If the thermal conductivity of the window is 1.2 W/m·K, determine the inner surface temperature of the window.

7. (a) What is the heat capacity of a system consisting of a 0.3600 kg brass cup filled with 0.05000 kg of water? in kJ/K (b) What is the heat capacity of a system consisting of 7.700 kg of water in a 0.8800 kg aluminum bucket? in kJ/k

A styrofoam container used as a picnic cooler contains a block of ice at 0°C. If 564 g of ice melts in 1 hour, how much heat energy per second is passing through the walls of the container? The heat of fusion of ice is 3.33 x 10° J/kg. Answer in units of W.