In this lesson, we will learn how to determine the relationship between the temperature of an object and the power and peak wavelength of radiation it emits.

Q1:

The surface of a desert has an average temperature of 315 K and an emissivity of 0.45. Determine the power of the infrared radiation emitted per square meter of the surface. Use a value of 5.67×10 W/m^{2}⋅K^{4} for the Stefan–Boltzmann constant. Give your answer to the nearest watt.

Q2:

An object emits infrared radiation. The emitting surface area of the object is 0.25 m^{2} and its temperature is 350 K. The emitting surface has an emissivity of 0.75. Find the power of the emitted radiation. Use a value of 5.67×10 W/m^{2}⋅K^{4} for the Stefan–Boltzmann constant. Answer to the nearest watt.

Q3:

An object that is an ideal blackbody radiator emits electromagnetic radiation at many wavelengths, the most powerfully emitted of which is 4.5×10 m. The surface area of the object is 0.15 m^{2}. Find the total power of the emitted radiation. Use a value of 2.898×10 m⋅K for Wien’s constant. Use a value of 5.67×10 W/m^{2}⋅K^{4} for the Stefan–Boltzmann constant. Give your answer to the nearest watt.

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