8.7Non-Ideal Gas Behavior
Section · module m68759
What this needs
Learn these first — this section will not make sense without them.
The van der Waals correction term n²a/V² is a rational expression that has to be treated as a single unit when isolating P: P = nRT/(V−nb) − n²a/V² only makes sense to someone comfortable moving a fraction across an equals sign rather than trying to cross-multiply it away.
Solving the van der Waals equation for P is done entirely in symbols before any number appears: (P + n^2a/V^2)(V - nb) = nRT is rearranged to P = nRT/(V-nb) - n^2a/V^2, distributing across the two multi-term factors and moving the pressure-correction term to the other side, with all of a, b, n, R, T, V still as letters — only after this symbolic form is reached does the worked example substitute the CO2 values and compute. There is no numeric equation-solving step left afterward; the entire difficulty is the symbolic rearrangement itself.
What this touches
Algebra that turns up here. Not a blocker, but this is where you will see it used.
No algebra turns up here. Most of the descriptive sections need none.