A sphere of radius 2.00 cm with a black surface is cooled and then suspended in a large evacuated enclosure with black walls maintained at 27⁰C. If the rate of change of thermal energy of sphere is 1.85J/s When its temperature -73⁰C, calculate the value of Stefan's constant.
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A black body of mass 34.3
m=34.38gm=0.03438Kg
A=19.2cm
2
=19.2×10
−4
m
2
σ=5.73×10
−8
Wm
−2
K
−4
T=400K
T
0
=300K
rate of cooling=0.04℃
emissive power of black body=1
rate of cooling=
mc
eAσ
(T
4
−T
0
4
)
⇒0.04=
0.03438×c
1×19.2×10
−4
×5.73×10
−8
(400
4
−300
4
)
⇒0.0
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