What is a blackbody? How do real bodies differ from blackbodies?

Short Answer

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Answer: Real bodies differ from blackbodies in terms of their absorptivity and emissivity. Blackbodies are perfect absorbers and emitters of radiation, while real bodies do not absorb all incoming radiation and do not emit radiation solely based on their temperature. Real bodies' absorptivity and emissivity depend on their material properties, surface condition, and the wavelength and direction of incoming radiation. Additionally, real bodies can be selective absorbers and emitters, deviating from the blackbody spectrum.

Step by step solution

01

Define a blackbody

A blackbody is an idealized object that absorbs all incoming electromagnetic radiation, regardless of its wavelength or direction. It also emits radiation with a distinct spectrum, known as the blackbody spectrum, which depends solely on its temperature. In other words, blackbodies are perfect absorbers and perfect emitters of radiation.
02

Explain the blackbody spectrum

When a blackbody is heated, it emits radiation across a range of wavelengths. The amount of energy emitted at each wavelength is given by Planck's radiation law. The peak of the blackbody spectrum, as well as the total energy emitted, shift to shorter wavelengths and higher intensities as temperature increases. This relationship is described by Wien's displacement law and the Stefan-Boltzmann law, respectively.
03

Describe graphite's closeness to a blackbody

The best real-world approximation of a blackbody is graphite. Various real-world materials have emissivities close to one but not exactly equal to one. Graphite, which has an emissivity of about 0.99, is considered to be the closest natural material to a blackbody due to its high absorptivity and emissivity.
04

Explain how real bodies differ from blackbodies

Real bodies differ from blackbodies in terms of their absorptivity and emissivity. In general, real bodies do not absorb all incoming radiation and do not emit radiation solely based on their temperature. A real body's absorptivity and emissivity depend on its material properties, surface condition, and the wavelength and direction of incoming radiation.
05

Discuss selective absorbers and emitters

Real bodies can also be more selective in the wavelengths they absorb and emit compared to blackbodies, which makes them deviate from the blackbody spectrum. Greenhouse gases, for example, selectively absorb and emit infrared radiation, causing what is known as the greenhouse effect. Similarly, certain materials exhibit strong absorption and emission characteristics in specific wavelength ranges, making them useful in applications such as solar thermal energy conversion and stealth technology. In summary, blackbodies are idealized objects that absorb and emit radiation perfectly based on their temperature, while real bodies have more complex behaviors in terms of their absorptivity and emissivity based on their material properties, surface condition, and the direction of incoming radiation.

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Most popular questions from this chapter

A person's head can be approximated as a 25-cm diameter sphere at \(35^{\circ} \mathrm{C}\) with an emissivity of \(0.95\). Heat is lost from the head to the surrounding air at \(25^{\circ} \mathrm{C}\) by convection with a heat transfer coefficient of \(11 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), and by radiation to the surrounding surfaces at \(10^{\circ} \mathrm{C}\). Disregarding the neck, determine the total rate of heat loss from the head. (a) \(22 \mathrm{~W}\) (b) \(27 \mathrm{~W}\) (c) \(49 \mathrm{~W}\) (d) \(172 \mathrm{~W}\) (e) \(249 \mathrm{~W}\)

Consider heat transfer through a windowless wall of a house on a winter day. Discuss the parameters that affect the rate of heat conduction through the wall.

A 2-kW electric resistance heater submerged in 30-kg water is turned on and kept on for \(10 \mathrm{~min}\). During the process, \(500 \mathrm{~kJ}\) of heat is lost from the water. The temperature rise of water is (a) \(5.6^{\circ} \mathrm{C}\) (b) \(9.6^{\circ} \mathrm{C}\) (c) \(13.6^{\circ} \mathrm{C}\) (d) \(23.3^{\circ} \mathrm{C}\) (e) \(42.5^{\circ} \mathrm{C}\)

One way of measuring the thermal conductivity of a material is to sandwich an electric thermofoil heater between two identical rectangular samples of the material and to heavily insulate the four outer edges, as shown in the figure. Thermocouples attached to the inner and outer surfaces of the samples record the temperatures. During an experiment, two \(0.5-\mathrm{cm}\) thick samples \(10 \mathrm{~cm} \times\) \(10 \mathrm{~cm}\) in size are used. When steady operation is reached, the heater is observed to draw \(25 \mathrm{~W}\) of electric power, and the temperature of each sample is observed to drop from \(82^{\circ} \mathrm{C}\) at the inner surface to \(74^{\circ} \mathrm{C}\) at the outer surface. Determine the thermal conductivity of the material at the average temperature.

What is stratification? Is it likely to occur at places with low or high ceilings? How does it cause thermal discomfort for a room's occupants? How can stratification be prevented?

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