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The vander wall's equation for a …

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The vander wall's equation for a gas is (P+a/V^2)(V-b)=RT Determine the dimensions of a and b hence write the si unit of a and b

    • Posted by Tejash Sharma 4 years ago

    CBSE > Class 11 > Physics
    • 1 answers

    Ayushi Chaurasiya 4 years ago

    (P + a/V2) (V - b) = RT P is pressure, V is volume and T is temperature. [P] = [F/A]  = [MLT −2/L2] = [ML−1T −2] [V] = [L3] We cannot add or subtract quantities of different dimensions. Therefore [P] = [a/V2] ⇒ [a] = [PV2] = [ML−1T −2 L6] = [M L5 T −2] ∴ [a] = [M L5 T −2] Similarly, [b] = [V] =  [L3]

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