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A metal wire is in thermal contact with two heat reservoirs at both of its ends. Reservoir 1 is at a temperature of 686 K, and reservoir 2 i
Question
A metal wire is in thermal contact with two heat reservoirs at both of its ends. Reservoir 1 is at a temperature of 686 K, and reservoir 2 is at a temperature of 292 K. Compute the total change in entropy arising from the conduction of 1216 J of heat through the wire. Please give your answer in units of J/K.
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2021-08-25T10:00:33+00:00
2021-08-25T10:00:33+00:00 1 Answers
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Answers ( )
Answer:
ΔS = 3.09 J/K
Explanation:
Entropy is defined as the magnitude of disorder in a system. Mathematically, entropy change is given as, the heat absorbed or released by a system divided by the change in absolute temperature. So, the formula for entropy change is as follows:
ΔS = ΔQ/ΔT
where,
ΔS = Change in Entropy of Metal Wire = ?
ΔQ = Heat Conducted through Wire = 1216 J
ΔT = Difference in Temperature = 686 K – 292 K = 394 K
Therefore,
ΔS = 1216 J/394 K
ΔS = 3.09 J/K