How Long Would It Take for a Water-Composed Earth to Heat from 40°C to 90°C?

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SUMMARY

The discussion centers on calculating the time required for a water-composed Earth to heat from 40°C to 90°C, given that the Earth intercepts 1.27 x 1017 W of solar energy. The specific heat of water is established as 4.186 J/g°C. The calculations lead to various time estimates, with the most plausible answer being approximately 5.7 x 105 years. The user expresses confusion regarding the accuracy of their calculations, indicating a need for clarification on the methodology used.

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tanzerino
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1. The Earth intercepts 1.27X10^17W of radiant energy from the Sun. Suppose the Earth, of volume 1.08X10^27 m^3, was composed of water. How long would it take for the Earth at 40 celciues to reach 90 celsius , if none of the energy was radiated or reflected back out into space?
The specific heat of water is 4.186J/g c

a-5.7x10^5 y
b-5.26x10^4 y
c-110.8 y
d-5.04x10^7 y
e-56 y


This is the same one with one different number from 40c instead of 20c i calculated and still wrong i guess its a?
 
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Any idea?
 

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