Solving Heat Capacity Problem: 60K to 80K

AI Thread Summary
To determine the entropy change for heating a liquid from 60 K to 80 K with a temperature-dependent heat capacity, the heat capacity equation Cp = 20 J K−1 + T × 0.5 J K−2 must be integrated over the specified temperature range. The confusion arises from how to apply the temperature-dependent Cp in the integration process. The correct approach involves using the relationship C = q/ΔT to express the heat transfer in terms of temperature change. Integration of the heat capacity function over the temperature range will yield the total heat added, which can then be used to calculate the entropy change. Understanding the integration of Cp is crucial for solving the problem accurately.
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Homework Statement



In the temperature range from 60 K to 80 K, a certain amount of liquid has a
temperature dependent heat capacity that is given by Cp = 20 J K−1 + T × 0.5 J K−2.
Determine the entropy change resulting from heating this sample from 60 K to 80 K.


Homework Equations


C=q/deltaT



The Attempt at a Solution



This one is confusing me. How does the temperature dependent heat capacity fit in, when the temperature is a range (60-80k)? Also, what equation should I use?
 
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I guess you should integrate.
 
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