(b) For any thermodynamic equation of state: (ƏH (F), = V -T P an² Derive an expression for () for the van der Waals gas (P +) (V – nb) = nRT не, %3D V2

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Chapter1: Chemical Foundations
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(b) For any thermodynamic equation of state:
не
= V –T
ƏT
P
an²
Derive an expression for () for the van der Waals gas (P + ) (V – nb) = nRT
-
y2
(c) Consider the following differential: dą = nC, dT +
nRT
·dV , where n and R are constants.
V
(i) Is the above differential dą, an exact or inexact differential?
[Show how you arrived to your conclusion by evaluating the appropriate partial
differentials!!]
(ii) Based on your answer obtained in part c (i), is the thermodynamic quantity q a path
function or state function? Why?
Transcribed Image Text:(b) For any thermodynamic equation of state: не = V –T ƏT P an² Derive an expression for () for the van der Waals gas (P + ) (V – nb) = nRT - y2 (c) Consider the following differential: dą = nC, dT + nRT ·dV , where n and R are constants. V (i) Is the above differential dą, an exact or inexact differential? [Show how you arrived to your conclusion by evaluating the appropriate partial differentials!!] (ii) Based on your answer obtained in part c (i), is the thermodynamic quantity q a path function or state function? Why?
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