Calculate Change in Entropy of Factory Furnace per sq m/sec

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The discussion revolves around calculating the change in entropy for a factory furnace with a specific thermal setup. The furnace operates at 175 degrees C, while the outer surface of its insulation is at 42 degrees C, with a heat escape rate of 125 W per square meter. The key formula for entropy change, ΔS = Q/T, is highlighted, but there is confusion regarding the relationship between heat transfer (H) and the heat (Q) involved in the calculations. The user is trying to determine whether to calculate the entropy change inside the furnace and compare it with the entropy change outside. Ultimately, the focus is on understanding how to apply the given thermal properties and equations to find the entropy change per square meter per second.
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Homework Statement


A large factory furnace maintained at 175 degrees C at its outer surface is wrapped in an insulating blanket of thermal conductivity 5.50×10−2 W/(m * K) which is thick enough that the outer surface of the insulation is at 42.0 degrees C while heat escapes from the furnace at a steady rate of 125 W for each square meter of surface area.

By how much does each square meter of the furnace change the entropy of the factory every second?

Homework Equations


\DeltaS = Q/T


The Attempt at a Solution


I know:
k = 5.50*10-2 W/(m*K)
H = 125 W
TH = 175 C = 448K
TC = 42 C = 315K

H = \DeltaQ/\Deltat

I know there is some type of relationship between H and Q, I just can't figure out what it is. Or how they work together.
 
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H =\DeltaQ/\Deltat = kA((TH - TC)/L)

L = 5.85 cm
But, does this help me in anyway?

S = Q/T
Am I supposed to figure out the entropy inside the furnace (Q/175 deg C) and add/subtract it from the entropy on the outside (Q/42 deg C)?
 
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