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

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0.447 R

0.565 R

0.821 R

0.325 R

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detailed solution

Correct option is A

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