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
Textbook: Conceptual Physics
Author: Paul G. Hewitt
The full step-by-step solution to problem: 17E from chapter: 16 was answered by , our top Physics solution expert on 04/03/17, 08:01AM. The answer to “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?” is broken down into a number of easy to follow steps, and 31 words. Conceptual Physics was written by and is associated to the ISBN: 9780321909107. This full solution covers the following key subjects: bowl, chocolate, cups, hot, mixture. This expansive textbook survival guide covers 45 chapters, and 4650 solutions. This textbook survival guide was created for the textbook: Conceptual Physics, edition: 12. Since the solution to 17E from 16 chapter was answered, more than 519 students have viewed the full step-by-step answer.