An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 7.4, Problem 45P
To determine
To show: The pressure of a photon gas is one-third of its density. The pressure exerted inside a kiln at
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Assume the temperature of the photon gas and the number of photons are held constant. Find a formula for the pressure of the photon gas (“radiation pressure”), in terms of its energy density (U/V).
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Chapter 7 Solutions
An Introduction to Thermal Physics
Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Show that when a system is in thermal and...Ch. 7.1 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13P
Ch. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 16PCh. 7.2 - Prob. 17PCh. 7.2 - Prob. 18PCh. 7.3 - Prob. 19PCh. 7.3 - Prob. 20PCh. 7.3 - Prob. 21PCh. 7.3 - Prob. 22PCh. 7.3 - Prob. 24PCh. 7.3 - Prob. 25PCh. 7.3 - Prob. 26PCh. 7.3 - Prob. 29PCh. 7.3 - Prob. 32PCh. 7.3 - Prob. 33PCh. 7.3 - Prob. 34PCh. 7.4 - Prob. 37PCh. 7.4 - Prob. 38PCh. 7.4 - Prob. 39PCh. 7.4 - Prob. 40PCh. 7.4 - Prob. 41PCh. 7.4 - Prob. 42PCh. 7.4 - Prob. 43PCh. 7.4 - Prob. 44PCh. 7.4 - Prob. 45PCh. 7.4 - Prob. 46PCh. 7.4 - Prob. 47PCh. 7.4 - Prob. 48PCh. 7.4 - Prob. 49PCh. 7.4 - Prob. 50PCh. 7.4 - Prob. 51PCh. 7.4 - Prob. 52PCh. 7.4 - Prob. 53PCh. 7.4 - Prob. 54PCh. 7.4 - Prob. 55PCh. 7.4 - Prob. 56PCh. 7.5 - Prob. 57PCh. 7.5 - Prob. 58PCh. 7.5 - Prob. 59PCh. 7.5 - Prob. 60PCh. 7.5 - The heat capacity of liquid 4He below 0.6 K is...Ch. 7.5 - Prob. 62PCh. 7.5 - Prob. 63PCh. 7.5 - Prob. 64PCh. 7.6 - Prob. 65PCh. 7.6 - Prob. 66PCh. 7.6 - Prob. 67PCh. 7.6 - Prob. 68PCh. 7.6 - If you have a computer system that can do...Ch. 7.6 - Prob. 70PCh. 7.6 - Prob. 71PCh. 7.6 - Prob. 72PCh. 7.6 - Prob. 73PCh. 7.6 - Prob. 75P
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- The intensity of blackbody radiation peaks at a wavelength of 583 nm. (a) What is the temperature (in K) of the radiation source? (Give your answer to at least 3 significant figures.) K (b) Determine the power radiated per unit area (in W/m2) of the radiation source at this temperature. W/m?arrow_forwardGas molecules in our atmosphere have sizes (~ 10 À) much smaller than the wave- length of optical photons. As a result, bound electrons within the molecules preferentially scatter shorter wavelength photons (Rayleigh scattering). The photon cross-section o for Rayleigh scattering goes as A-4, where A is the photon wavelength. Obtain an expression for the typical travel time of a red photon (A = 8000 Å) across a layer of atmosphere with thick- ness d, knowing that a blue photon (A = 4000 Á) has a mean-free-path length lImfp = d/3 in the same atmosphere. Express your answer using d and c, where c is the speed of light.arrow_forwardThe temperature of an electric heating element is 150°C. At what wavelength does the radiation emitted from the heating element reach its peak? Model the tungsten filament of a lightbulb as a black body at temperature 2 900 K. (a) Determine the wave- length of light it emits most strongly. (b) Explain why the answer to part (a) suggests that more energy from the lightbulb goes into infrared radiation than into vis- ible light.arrow_forward
- The half value layer (HVL) of a material is defined as the thickness of the material needed to reduce the intensity of the incident x-ray beam to half its value. Assume that the x-ray beam is monochromatic, no scattering occurs and that material A (as shown in Figure 1) is. homogeneous and has a linear attenuation coefficient (u.). Material A has an HVL of 1.5 mm. Calculate the ratio l/lz as shown in Figure 1 if x-5 mm. lo HA=?? 2x Figure 1: Schematic diagram fr question 3.arrow_forwardA particular star has a radius of 8.46 ✕ 108 m. The peak intensity of the radiation it emits is at a wavelength of 679 nm. (a) What is the energy (in J) of a photon with this wavelength? answer in J (b) What is the star's surface temperature (in K)? (Round your answer to at least the nearest integer.) answer in K (c) At what rate (in W) is energy emitted from the star in the form of radiation? Assume the star is a blackbody, with emissivity e = 1. answer in W (d) Using the results from parts (a) and (c), estimate the rate (in photons/s) at which photons are emitted by the star. answer in photon/sarrow_forwardA radiating quadrupole consists of a square of side a with charges ±q at alternate corners. The square rotates with angular velocity ω about an axis normal to the plane of the square and through its center. Calculate the quadrupole moments, the radiation fields, the angular distribution of radiation, and the total radiated power, all in the long-wavelength approximation. What is the frequency of the radiation?arrow_forward
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