Thermodynamic Entropy Clarification

AI Thread Summary
The discussion focuses on calculating the change in entropy when mixing water and alcohol. The final temperature after mixing is determined to be 300.55 K (27.4°C). The entropy change equation is presented, but confusion arises over whether to use Kelvin or Celsius for the calculations. It is clarified that Kelvin must be used for accurate entropy calculations, as using Celsius yields significantly different results. The conclusion emphasizes the importance of using the correct temperature scale in thermodynamic equations.
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Homework Statement


We mix 0.6 kg of water at a temperature of 25°C with 0.8 kg of alcohol at 30.5°C. They
come to equilibrium. (Here's some useful data: The specific heat capacity for water is 1
kcal/kg°C = 4186 J/kg°C, and for alcohol it is 0.58 kcal/kg°C = 2430 J/kg°C

What is the change in entropy (in J/K) of the system when the two are mixed?

Homework Equations


∆S = ∆Sw + ∆Sa = Mw*Cw*ln(Tf /TW) + Ma*Ca*ln(Tf /Ta)


The Attempt at a Solution


I've calculated the final temperature to be 300.55 K or 27.4 C

so now the equation looks like:
.6*4186*Ln(Tf/Tw) + .6*2430*Ln(Tf/Ta) = dS

The problem is, do I use Kelvin or Celsius for the entropy calculation? I get two totally different values if I do either one... .0794 with K or 21.87 with C.
 
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You have to use Kelvin.
 
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