How Does Heat Transfer Between Two Reservoirs Affect Universal Entropy?

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Homework Help Overview

The discussion centers around the calculation of the entropy change of the Universe when heat is transferred between two thermal reservoirs, H and C, at different temperatures (900 K and 300 K, respectively). Participants are examining the implications of this heat transfer on universal entropy.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to apply the formula for entropy change, ΔS=∫dQ/T, to calculate the total entropy change for the system and surroundings. There is a focus on verifying the correct temperatures used in the calculations and ensuring the accuracy of the arithmetic involved.

Discussion Status

There is an ongoing verification of the calculations presented, with some participants correcting temperature values and questioning the arithmetic simplifications. While some attempts have been made to arrive at a numerical answer, there is no explicit consensus on the final result, and the discussion remains open to further clarification.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information available for deeper exploration of the concepts involved. There is an emphasis on ensuring that the correct temperatures are used in the calculations.

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Homework Statement


Two large reservoirs, H and C, are available: if H is at 900 K and C is at 300 K, what is the
entropy change of the Universe if 100 J of heat are taken from H and added to C?


Homework Equations


ΔS=∫dQ/T

ΔS_universe = ΔS_surroundings + ΔS_system

The Attempt at a Solution



so it's just (-100/900)+(100/300) = 9/2 right? Just checking!
 
Last edited:
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gboff21 said:

Homework Statement


Two large reservoirs, H and C, are available: if H is at 900 K and C is at 300 K, what is the
entropy change of the Universe if 100 J of heat are taken from H and added to C?


Homework Equations


ΔS=∫dQ/T

ΔS_universe = ΔS_surroundings + ΔS_system

The Attempt at a Solution



so it's just (-100/900)+(100/200)
I think that's the right approach. But isn't C at 300 K (not 200)?
= 9/2 right? Just checking!
I think you might have inverted something.
 
Sorry that 200 has been corrected to 300
 
gboff21 said:
Sorry that 200 has been corrected to 300

Okay, so we have...

so it's just (-100/900)+(100/300)

Okay, that looks correct. :approve:

= 9/2 right?
Wait, what?

Try that simplification one more time. :wink:
 
Sorry it's 2/9
 

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