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Van der Waals equation: dimensions of combinations of a and b

This type of question, asked 6 times: 29 Jun 2022, 1 Feb 2023, 13 Apr 2023, 27 Jan 2024, 5 Apr 2024, 2 Apr 2025. All 6 questions 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

    1 Feb 2023

    6
    (P+aV2)(V−b)=RT\left( P +\frac{a}{V^{2}} \right)(V - b) = RT represents the equation of state of some gases. Where PP is the pressure, VV is the volume, TT is the temperature and a,b,Ra,b,R are the constants. The physical quantity, which has dimensional formula as that of b2a\frac{b^{2}}{a}, will be:

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  3. Question 3

    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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  4. Question 4

    27 Jan 2024

    91
    The equation of state of a real gas is given by (P+aV2)(V−b)=RT\left( P +\frac{a}{V^{2}} \right)(V - b) = RT, where P,VP,V and TT are pressure. volume and temperature respectively and RR is the universal gas constant. The dimensions of ab2\frac{a}{b^{2}} is similar to that of:

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  5. Question 5

    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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  6. Question 6

    2 Apr 2025

    2
    The equation for real gas is given by (P+aV2)(V−b)=RT\left( P +\frac{a}{V^{2}} \right)(V - b) = RT, where P,V,TP,V,T and R are the pressure, volume, temperature and gas constant, respectively. The dimension of ab−2ab^{- 2} is equivalent to that of :

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