A satellite takes an infrared picture of a hibernating volcano in North America. The volcano's surface...
A satellite takes an infrared picture of a hibernating volcano in North America. The volcano's surface area is 1800m2and the radiation has a peak wavelength of 7.4?m.
(a) What is the surface temperature of the volcano? Give your answer in Kelvin.
(b) How much thermal energy is radiated by the volcano per day? Give your answer in GJ (1GJ=109J).
Homework Answers
a] By Weins displacement law,
T = 2.898e-3/lambdapeak
= 2.898e-3/7.4e-6
= 391.6 K answer
b]By Stephan Boltzmann equation,
Energy radiated = sigma*T^4 *area*time
after entering the values in SI units,
energy per day = 5.67e-8*391.6^4*1800*(24*60*60)
= 207.4*10^9 J
= 207.4 GJ answer
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