The planet Mercury has a maximum intensity of solar radiation of 3700 nm on the sunlit side .What is the temperature of the surface of Mercury on the sunlit side? The empirical value of the constant in Wien's law is 2.9 K·mm. A) 510^oC B) 780^oC C) 1100^oC D) 290^oC E) 543^oC

Question

Quizplus · Accepted Answer

Wien's law states that the wavelength of maximum emission of a blackbody is inversely proportional to its temperature. The maximum intensity of solar radiation on the sunlit side of Mercury is 3700 nm. Using Wien's law, we can calculate the temperature of the surface of Mercury on the sunlit side:T = 2.9 K·mm / 3700 nm = 780 KConverting to degrees Celsius:T = 780 K - 273.15 = 506.85 °CTherefore, the temperature of the surface of Mercury on the sunlit side is approximately 510 °C.

The Planet Mercury Has a Maximum Intensity of Solar Radiation