When an object is in radiative equilibrium with its environment at temperature T, the rates at which
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When an object is in radiative equilibrium with its environment at temperature T, the rates at which it emits and absorbs radiant energy must be equal. Each is given by dQ0/dt = εσT4A. If the object’s temperature is raised to T1 > T, show that to first order in ΔT = T1−T, the object loses energy to its environment at a rate dQ/dt = 4εσΔTT3A.
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