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Why heat can't be expressed as exact differential function?by manimaran1605
Tags: thermodynamics 
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#1
Jul414, 08:00 AM

P: 53

(1) Why differential of work, heat can't be expressed as exact differential function?
(2) How differential of internal energy is an exact differential function and how it is a function of any two of thermodynamics coordinates? 


#2
Jul414, 08:31 AM

C. Spirit
Sci Advisor
Thanks
P: 5,619

##T## for ##F## are just a matter of convenience for that specific thermodynamic potential and its associated fundamental relation (although not necessarily convenient for experiment). Indeed I can just as well write ##U = U(T,x_1,...,x_n)## if I wish by inverting ##S## as a function of ##T## but I still need ##n+1## variables. Mathematically, ##U## is entirely determined by the equations of state and the heat capacity. 


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