scenario: you have a solid material which you want to heat up and then cool down and observe its final energy. You take two samples of this solid, one you heat to 1000K and one you heat to 5000K and then you cool them both down to the same temperature (at a proportional cooling and heating rate).
Results: the one you heat up to a higher temperature and then cool down has a lower final energy.
Why?
answer) from newtons law of cooling we have the following we have
Q/t=-kAT/L
here Q/t=rate of heat transfer to the surrounding
T= temperature difference
so the sample of solid which was heated at a higher temperature, will lose a lot more energy to the surrounding than the sample of solid which was heated to lower temperature
since Q/t is directly proportional to T,so greater is the temperature ,more is the loss of heat energy
so this is why the the one heated up to higher temperature has a lower final energy.
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