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A liquid takes 10 minute to cool from 75℃ to 50℃ how much time will it take to cool from 60℃ to 40℃ temperature is surrounding is 20℃
Dear AmarAccording to Newton's law of cooling, we havemc (T1 - T2)/t = k [(T1 + T2)/2 - T0)] ---------------(1)mc/k = [(T1 + T2)/2 - T0)]/[(T1 - T2)/t]mc/k = [(75+50)/2 - 20)]/[(75 - 50)/10] = 42.5 / 2.5 = 17Substituting T1 = 60 and T2 = 40 and T0 = 20 (all in °C) in Eq. (1), we getmc (60 - 40)/t = k [(60+ 40)/2 - 20)] 20 mc/t = 30 kt = 20 mc/(30k) = (20/30) * 17 = 340/30 min = 11.33 minThe body takes 11.33 min to cool from 60°C to 40°C.
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