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I thought I would want to use W=-integral(nRT/V)dV, but that is apparently only for ideal gases, and this problem concerns a non-ideal gas, according to my professor.

1) How do I know by looking at the problem that this doesn't concern an ideal gas. (the equation given does look like the van der Waals equation...)

2) Since it isn't an ideal gas, what equation can I use? w=-integral(Pext*dV)?

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Any ideas? I'm feeling really lost here conceptually