4. The surface temperature of a planet is T, and the measured temperature is Tm (i.e. the temper-ature measured at the top-of-atmosphere based on the upwards flux Ft there). Assume radiativeequilibrium.(a) Show that the infrared optical depth of the planet's surface 7 is related to the surfacetemperature T, and the measured temperature Tm byCalculate the infrared optical depth at the surfaces of(a) Earth, where T, = 300 K and Tm = 250 K.(b) Venus, where T, = 750 K and Tm = 230 K.(c) Mars, where T, = 240 K and T, = 220 K.

calculat the planet s surface=τ0=? Earth, Tq=300 KTm=250 Kτ*0=2TgTm4-1 =23002504-1τ*0=2.1472 for…

ature measured at the top-of-atmosphere based on the upwards flux Ft there). Assume radiative equilibrium. (a) Show that the infrared optical depth of the planet's surface r is related to the surface temperature T, and the measured temperature Tm by Calculate the infrared optical depth at the surfaces of () Earth, where T. 300 Kand T 250 K

ature measured at the top-of-atmosphere based on the upwards flux Ft there). Assume radiative equilibrium. (a) Show that the infrared optical depth of the planet's surface r is related to the surface temperature T, and the measured temperature Tm by Calculate the infrared optical depth at the surfaces of () Earth, where T. 300 Kand T 250 K

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.30P

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Similar questions

11.31 A large slab of steel 0.1 m thick contains a 0.1 -m-di- ameter circular hole whose axis is normal to the surface. Considering the sides of the hole to be black, specify the rate of radiative heat loss from the hole. The plate is at 811 K, and the surroundings are at 300 K.
A tungsten filament is heated to 2700 K. At what wavelength is the maximum amount of radiation emitted? What fraction of the total energy is in the visible range (0.4to0.75m)? Assume that the filament radiates as a graybody.
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 816C and 260C, respectively. Determine the rate of heat transfer by radiation between the plates in W/m2 and the radiative heat transfer coefficient in W/m2K.
1.28 The sun has a radius of and approximates a blackbody with a surface temperature of about 5800 K. Calculate the total rate of radiation from the sun and the emitted radiation flux per square meter of surface area.
1.54 The soldering iron tip in Problem 1.53 becomes oxidized with age and its gray-body emittance increases to 0.8. Assuming that the surroundings are at 20°C, determine the power requirement for the soldering iron.
11.68 Two infinitely large, black, plane surfaces are 0.3 m apart, and the space between them is filled by an isothermal gas mixture at 811 K and atmospheric pressure. The gas mixture consists of by volume. If one of the surfaces is maintained at 278 K and the other at 1390 K, calculate (a) the effective emissivity of the gas at its temperature, (b) the effective absorptivity of the gas to radiation from the 1390 K surface, (c) the effective absorptivity of the gas to radiation from the 278 K surface, and (d) the net rate of heat transfer to the gas per square meter of surface area.