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Equipartition Theorem

A sheet of ...

Question

A sheet of $15.0 g$ of gold at $25^{o} C$ is placed on a $30.0 g$ sheet of copper at $45^{o} C$ . What is the final temperature of the two metals assuming that no heat is lost to the surroundings. The specific heats of gold and copper are $0.129 J / g^{o} C$ and $0.385 J / g^{o} C$ respectively.

A

42.1

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B

40.1

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C

41.1

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D

43.4

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Solution

The correct option is D $42.1$
Heat lost copper = heat gain by gold
$30 \times 0.385 (318 - T) = 15 \times 0.129 (T - 298)$
final temperature $T = 315.1 K$
$T = {42.1}^{o} C$

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