Exam 14: Heat

The heating element of an electric stove is glowing. The color of the hot stove element is red, with a blackbody radiation spectrum with a maximum at a wavelength of 1.000 micron. What is the temperature of the stove element?

A wood-burning stove in a cabin in the woods has a surface area of 0.100 m². If the stove radiates heat like a perfect blackbody with a temperature of 150 °C, then what is the energy per second that the stoves radiates?

A sample of helium has a volume of 2.00 liters, a temperature of 20.0 °C, and a pressure of 2.50 atmospheres. What is the energy needed to heat the sample of helium gas from 20.0 °C to 95.0 °C at constant volume?

Water has a specific heat capacity of 4,186 J/kg °C. A tank contains 500 kg of water at 10.0 °C. The water is heated to a temperature of 90.0 °C. If electricity costs $0.100 per kilowatt-hour, then what is the cost of heating the water?

A 100 gram glass container contains 250 grams of water at 15.0 °C. A 200 gram piece of lead at 100 °C is added to the water in the container. What is the final temperature of the system? (specific heat of water = 4,186 J/kg °C, specific heat of glass = 837.2 J/kg °C, specific heat of lead = 127.7 J/kg °C)

What is the change in internal energy of 2.00 moles of a monatomic ideal gas that cools from 200 °C to −50 °C?

A brass rod with a length of 30.0 cm is placed side by side with an aluminum rod with a length of 30.0 cm, and this system is placed between a hot temperature of 100°C and a cold temperature of 10.0°C. The thermal conductivities of the brass and the aluminum are 100 W/m °C and 230 W/m °C, respectively. The brass rod has a cross-sectional area of 20.0 cm², and the aluminum rod has a cross-sectional area of 30.0 cm². What is the rate of heat flow from the hot temperature to the cold temperature?

One mole of an ideal gas at 100 °C, with a total internal energy of 15,000 J, is mixed with two moles of another ideal gas at 200 °C, with a total internal energy of 30,000 J. What is the total internal energy of the mixture?