R= KT^4Stefan's Law States That A Body Emits Radia


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R= kT^4 Stefan's law states that a body emits radiant energy accordion to this formula, where R is the measure of the rate of emission energy per square unit of area, T is the Kelvin temperature of surface and k is a constant. Find the AVERAGE rate of change of R with respect to T as T increases from 200 to 300 degrees. Then find the instantaneous rate of change of R with respect to T when T= 200 degrees. Justify by showing work. Hint: Average Rate of Change= (f(b)-f(a))/(b-a)


Answer No.1


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We have, a. Average Rate of Change= (f(b)-f(a))/(b-a) = k x (573)^4- k x 473^4 /(573-473) = 5.7745 x 10^8 b. Instantantoue change = dR/dt = 4kT^3 = 4 x k x 473^3 = 4.233 x 10^8

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