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Saturday, 22 December 2012

Power saturn radiates


P_{saturn} = 4\pi R_{Saturn}^{2}\sigma T_{Saturn}^{4}


First calculate with T as 76K:

P_{Saturn}^{T=76K} = 4\pi×57500^2×5.6703*10^{−8}×(76)^4

= 7.8596*10^{10} W


Now T as 93K:

P_{Saturn}^{T=93K} = 4\pi×57500^2×5.6703*10^{−8}×(93)^4

= 1.7623*10^{11}W


We have our two powers one P_{Saturn}^{T=93K} and one P_{Saturn}^{T=76K} so now we find the difference:

P_{difference} = P_{Saturn}^{T=76K} - P_{Saturn}^{T=93K} = 9.7634*10^{10}W


So Saturn radiates 0.554 times the power that saturn absorbes by sun which increases the temp to 93K.

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