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Question

The initial temperature of a body is 80 oC. Its temperature falls to 64 oC in 5 minutes and to 52 oC in next 10 minutes. If the temperature of surrounding is 7n oC, value of n is 


Solution

According to Newton’s law:θ1θ2t = k[θ1+θ22θ0]
Initially, (8064)5=K[80+642θ0]
 3.2 = K[72θ0]

Finally, (6452)10=K[64+522θ0]
 1.2 =K[58θ0]
On solving above two equations,  we get θ0=49 oC.
Hence, n = 7.

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