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A metal sphere with a black surface and ...

A metal sphere with a black surface and radius `30 min`, is cooled to `-73C (200K)` and placed inside an enclosure at a temperature of `27^(@)C(300K)`. Calculate the initial rate of temperature rise of the sphere, assuming the sphere is a black body. (Assume density of metal `=8000 kg m^(-3)` specific heat capacity of metal `=400 J kg^(-1)K^(-1)`, and Stefan constant `=5.7xx10^(-8)Wm^(-2)K^(-4)`).

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