Heat Capacity: Units, Mols & Avogadro's Constant

AI Thread Summary
The discussion centers on the relationship between heat capacity at constant volume (Cv) and constant pressure (Cp), with the equation Cv = Cp - R being highlighted. There is confusion regarding the units for Cp, which are clarified as kJ/kgK, and the need to convert these units appropriately when considering the molar gas constant R. The participant questions whether Avogadro's Constant is necessary for unit conversion and seeks confirmation on the calculations involving heat (Q) and temperature change (dT). The calculations provided yield a Cp of 50 J/K, raising further inquiries about the correctness of the units and the application of R. Overall, the thread emphasizes the importance of unit consistency in thermodynamic equations.
jimmy42
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I have the equation for heat capacity for constant volume and pressure.

Cv = Cp -R

So for Cp I have the units J/k and for R the units are J/k mol. So my question is related to that mol. Is it right that I need to get rid of that mol? if so how? Does it involve Avogadro's Constant? Or do I have the wrong units for Cp?

Thanks.
 
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The units for cp is kJ/kgK which can be rewritten as kJ/kmol*k. Although I know that R to be the gas constant and not the universal gas constant.
 
I have

Where Q is the energy as heat and dT is the change in temp in Kelvin.

Cp = Q/dT

Cp = 100J / 2K

Cp = 50 J/K

So, is that not right? R = molar gas constant.
 
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