Hot water cools from 60^ C to 50^ C in the first 10 ~min and to 42^ C in the next 10 ~min . Then the temperature of the surroundings is

Step-by-step solution

According to Newton's law of cooling ₂- ₁ t = K [ ₁+ ₂ 2 - _ s ] where, _ s is the temperature of the surroundings. aligned 60-50 10 &=K [ 60+50 2 - _ s ] 1 &=K [55- _ s ] ...(i) aligned Similarly, 50-42 10 = K (46- _ s ) 8 10 =K (46- _ s ) ...(ii) Dividing Eq. (i) by Eq. (ii), we get aligned & 10 8 = K (55- _ s ) K (46- _ s ) & _ s =10^ C aligned _ s =10^ C