A body is heated to 327oC and then allowed to cool in air which is at 27oC. Initial rate of cooling of the body is R. What will be the rate of cooling of the body when its temperature falls to 227oC?

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0.447 R

0.565 R

0.821 R

0.325 R

answer is A.

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Detailed Solution

Rate of cooling, R∝T4−T04∴ R1R=227+2734−27+2734327+2734−27+2734=625−811296−81⇒R1=R×5441215=0.447R

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