When two cups of hot chocolate, one at 50°C and the other at 60°C, are poured into a bowl, why will the temperature of the mixture be between 50°C and 60°C?

Solution 17E Step 1 : When two bodies of different temperatures interact with one another , heat transfer from one body another The body with more temperature tends to lose heat where as the body with lower temperature tends to gain heat Step 2 : Considering the given data Temperature of hot chocolate 1 = 50 C 0 0 Temperature of hot chocolate 2 = 60 C Hot chocolate 2 will lose temperature “t” and hot chocolate 1 will gain temperature “t” When mixed we have temperatures as 50 C + t = 60 C t 0 0 2t = 60 C 50 C 0 2t = 10 C t = 5 C Hence the final temperature will be obtained by substituting t = 5 C in 0 0 50 C + t = 60 C t 50 C + 5 C = 60 C 5 C 0 55 C = 55 C 0