Thermodynamics filled in class notes_Part_57

# Thermodynamics filled in class notes_Part_57 - 4.5 VAN DER...

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Unformatted text preview: 4.5. VAN DER WAALS GAS 121 Now for the van der Waals gas, we have ∂P ∂T vextendsingle vextendsingle vextendsingle vextendsingle v = R v − b , (4.202) T ∂P ∂T vextendsingle vextendsingle vextendsingle vextendsingle v − P = RT v − b − P, (4.203) = RT v − b − parenleftbigg RT v − b − a v 2 parenrightbigg = a v 2 . (4.204) So we have ∂u ∂v vextendsingle vextendsingle vextendsingle vextendsingle T = a v 2 , (4.205) u ( T,v ) = − a v + f ( T ) . (4.206) Here f ( T ) is some as-of-yet arbitrary function of...
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Thermodynamics filled in class notes_Part_57 - 4.5 VAN DER...

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