An object is heated to 90°C and is kept in a room where the ambient temperature is around 25°C. If the object has an emissivity of 0.4 and an area of 2.0 m² what will be the rate of heat transfer by radiation alone?
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- Heat transfer can take place without any medium. This type of heat transfer is known as heat radiation. In radiative heat transfer, the heat energy is carried by electromagnetic radiation.
- The rate of heat transfer through radiation is given by Stefan-Boltzmann's law of radiation. It is given by,
Here σ is the Stefan-Boltzmann constant, e is the emissivity which defines how well an object radiates energy, A is the area, and T is the absolute temperature in kelvin.
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- An unused wood-burning stove has a constant temperature of 18 °C (291 K), which is also the temperature of the room in which the stove stands. The stove has an emissivity of 0.900 and a surface area of 3.50 m2. What is the net radiant power generated by the stove?A wall in a house contains a single window. The window consists of a single pane of glass whose area is 0.19 m² and whose thickness is 4 mm. Treat the wall as a slab of the insulating material Styrofoam whose area and thickness are 16 m² and 0.15 m, respectively. Heat is lost via conduction through the wall and the window. The temperature difference between the inside and outside is the same for the wall and the window. Of the total heat lost by the wall and the window, what is the percentage lost by the window? Percentage lost by window = Number i UnitsHeat from the Sun is incident on a leaf that is horizontal to the radiation. The power per unit area from the Sun is 8.75 102 W/m2. Assume that 75.0% of this energy goes into heating the leaf. The specific heat capacity of the leaf is 3.7 kJ/(kg °C, its mass is 0.300 g, and surface area is 8.00 x 10-3 m2. (a) Calculate the power that goes into heating the leaf. W (b) Calculate the rate of the rise in the temperature of the leaf. (Hint: Q = mc?T) °C/s
- A plastic cup of negligible mass contains 0.280 kg of an unknown liquid at a temperature of 30.0°C. A 0.0270 kg mass of ice at a temperature of 0.0°C is added to the liquid, and when thermal equilibrium is reached the temperature of the combined substances is 14.0°C. Assuming no heat is exchanged with the surroundings, what is the specific heat capacity of the unknown liquid?A refrigerator door is opened and room-temperature air (20°C) fills the 1.50 m 3 compartment. A 10.0 kgm turkey, also at room temperature, is placed in the refrigerator and the door is closed. The density of air is 1.20 kgm/m3 and its specific heat is 1020 J / kgm °C. Assume the specific heat of a turkey, like that of a human, is 3480 J / kgm °C. How much heat must the refrigerator remove from its compartment to bring the air and the turkey to thermal equilibrium at a temperature of 5°C? Assume no heat exchange with the surrounding environment.What is the rate of heat transfer by radiation, with an unclothed person standing in a dark room whose ambient temperature is 22.0°C. The person has a normal skin temperature of 33.0°C and a surface area of 1.50 m². The emissivity of skin is 0.97 in the infrared, where the radiation takes place.
- 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)?assume that for any movement, 10.0% of energy used by human muscles goes into performing the movement, with the rest going into heat. If so, how much does a 72.0 kg person's body temperature go up when they use their muscles to speed up from 0 to 3.00 m/s? (The average specific heat capacity of a body is about 3.45 kJ/kg degress celsius)A person steps out of the shower and dries off. The person's skin with an emissivity of 0.70 has a total area of 1.2 m and a temperature of 33 °C. What is the net rate at which energy is lost to the room through radiation by the naked person if the room temperature is 24 °C?
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