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.

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