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One day in the morning, Ramesh filled up 1/3 bucket of hot water from geyser, to take bath. Remaining 2/3 was to be filled by cold water to bring mixture to a comfortable temperature. Suddenly Ramesh had to attend something which would take sometimes, say 5-10 minutes before he could take bath. Now he has two options:

a) fill the remaining bucket completely by cold water and then attend the work

b) first attend to the work and fill the remaining bucket just before taking bath.

Which option do you think would have kept water warmer? Explain.

Answers (1)

According to Newton’s law of cooling,

Rate of cooling(loss of heat) is proportional to Temperature difference of body & surrounding.

Thus, for option

  1. Since the temperature of the surrounding and water is small, water should be kept warmer, thus, the amount of heat energy lost here is less.
  2. Here a large amount of heat energy is lost since the temperature difference between water and surrounding is large.

 

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