Hi,
I need to solve the van der waals equation for n. And I feel pretty stupid that I can't solve it:
\((p+\frac{a*n^2}{V^2})*(V-nb)=nRT\)
thanks for your help
Van der Waals Gas Gleichung solve for n
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DrTBuLi
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Van der Waals Gas Gleichung solve for n
Last edited by DrTBuLi on Thu Jul 11, 2024 8:37 am, edited 1 time in total.
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ChenBeier
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Re: Van der Waals Gas Gleichung solve for n
It's a cubic equation.
(p + (an^2/V^2))*(V-nb) = nRT
pV+ (a/V)*n^2 -nbp-(ab/V^2)*n^3-nRT=0
-pV- (a/V)*n^2 +nbp+(ab/V^2)*n^3+nRT=0
(ab/V^2)*n^3 -(a/V)*n^2 + (RT+bp)*n - pV =0
Also an equation like
ax^3 + bx^2 + cx + d = 0
use a solver like Wolfram Alpha.
(p + (an^2/V^2))*(V-nb) = nRT
pV+ (a/V)*n^2 -nbp-(ab/V^2)*n^3-nRT=0
-pV- (a/V)*n^2 +nbp+(ab/V^2)*n^3+nRT=0
(ab/V^2)*n^3 -(a/V)*n^2 + (RT+bp)*n - pV =0
Also an equation like
ax^3 + bx^2 + cx + d = 0
use a solver like Wolfram Alpha.