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Van der Waals equation: dimensions of a/b

The same question, asked 3 times: 29 Jun 2022*, 13 Apr 2023*, 5 Apr 2024. Every wording below, oldest first.

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  1. Question 1

    29 Jun 2022

    12
    In Vander Waals equation [P+aV2][V−b]=RT\left\lbrack P +\frac{a}{V^{2}} \right\rbrack\lbrack V - b\rbrack = RT; PP is pressure, VV is volume, RR is universal gas constant and TT is temperature. The ratio of constants ab\frac{a}{b} is dimensionally equal to:

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  2. Question 2

    13 Apr 2023

    108
    In the equation [X+aY2][Y−b]=RT,X\left\lbrack X +\frac{a}{Y^{2}} \right\rbrack\lbrack Y - b\rbrack = RT,X is pressure, YY is volume, RR is universal gas constant and TT is temperature. The physical quantity equivalent to the ratio ab\frac{a}{b} is:

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  3. Question 3

    5 Apr 2024

    101
    What is the dimensional formula of ab−1ab^{- 1} in the equation (P+aV2)(V−b)=RT\left( P +\frac{a}{V^{2}} \right)(V - b) = RT, where letters have their usual meaning.

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