Value of universal gas constant (R) is same for all gases. What is its physical significance?
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From the gas equation, pV = nRT, R =pV/nT . If p is measured in Pascal, V/n i.e., molar volume per mole in ${{m}^{3}}$ and T in kelvin, units of R are Pa ${{m}^{2}}$ ${{K}^{-1}}$${{mol}^{-1}}$ or J ${{K}^{-1}}$${{mol}^{-1}}$. As joule is the unit of work, R is the work done per mole per kelvin.
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The constant, further, is the same for all gases, provided that the mass of gas being compared is one mole, or one molecular weight in grams. For one mole, therefore, pV/T = R. The dimensions of the universal gas constant R are energy per degree per mole.
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