Thermal infrared (IR) satellites measure cloud top temperatures with a high degree of accuracy. On the morning of February 7, 2018, a satellite...
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# Thermal infrared (IR) satellites measure cloud top temperatures with a high degree of accuracy. On the morning of

February 7, 2018, a satellite measured a radiance of 3.648 W/m2/micrometer at the top of thunderstorm clouds over west-central Georgia. Use this value and the equation below to solve for the temperature at the top of these thunderstorm clouds. Then, use the sounding on the next page to find the height of the top of the clouds by finding the altitude (on the y-axis of the sounding) that matches the temperature in °Cyou solved for using the equation below. Convert the height from km to feet.How high above the ground were to tops of these thunderstorm clouds? Show all your work.

E = radiance measured by the satellite = 3.648 W/m2/micrometer

λ = infrared wavelength of the satellite channel = 10.5 micrometers

T= temperature (K), this is what you are solving for.

c1= 3.74*108W/m2/micrometer4

c2= 1.44*104micrometer K

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