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Mic :)
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Homework Statement
Obtaining an equation of state from compressibility and expansivity.
States of superheated steam are observed to have an isothermal compressibility k=(rNT) / (VP^2)
and a volume expansivity B=(N/V)((r/P)+(am / T^m+1)).
r,m and a are constants.
a) Find dv in terms of dP and dT
b) Deduce the equation of state for superheated steam up to an undetermined constant
Homework Equations
B= (1/V)(dV/dT) P const
k= (-1/V)(dV/dP) T const
The Attempt at a Solution
a) I have arrived at:
(rTN^2 / P^2) ((r/P)+(am / T^m+1)) = -(dV)^2 / dPdT
I can simplify and rearange that for dV = -sqrt((rTN^2 / P^2) ((r/P)+(am / T^m+1)) dP dTIf a) is correct, then I need help with b); how would I go about integrating the expression.
Do I start with (dV)^2 = ?
Thank you very much!
Any help would be sincerely appreciated (and needed).