Van Der Waals equation solving for V

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The discussion focuses on solving the Van Der Waals equation for volume (V) given the equation P = RT/(V-b) - a/V^2. A user expresses difficulty in isolating V and shares their progress, which leads to a cubic equation format. Suggestions include using more parentheses for clarity and collecting terms to facilitate factoring. The next steps involve rearranging the equation into a standard polynomial form to solve for V. The conversation emphasizes the importance of clear notation and systematic algebraic manipulation.
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Homework Statement



P = RT/(V-b) - a/V^2

Ive been trying to solve this for V and just can't get it.

Homework Equations




The Attempt at a Solution


IVe gotten to:
RTV^2 -aV+ab = P(V^3-V^2b)
Any Ideas?
 
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George3 said:

Homework Statement



P = RT/(V-b) - a/V^2

Ive been trying to solve this for V and just can't get it.

Homework Equations




The Attempt at a Solution


IVe gotten to:
RTV^2 -aV+ab = P(V^3-V^2b)
Any Ideas?

Could you use more parenthesis to make the equation clearer? Or is its form just as written:

P = \frac{RT}{V-b} - \frac{a}{V^2}
 
From your partial solution, it does look like that was the original form. Collect terms and factor for V would be the next steps...

()V^3 + ()V^2 + ()V + () = 0
 
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