The value of b for carbon dioxide is given as 42.69 x 10-6m3/mol. What do you think is the volume of a molecule?

The value of b for carbon dioxide is given as 42.69 x 10-6m3/mol. What do you think is the volume of a molecule? Correct Answer 7.09 m3

From van der Waal’s equation (P – an2/V2)(V – nb) = nRT, we know that V = b/NA = 42.69 x 10-6m3/mol/6.023 x 1023 molecules/mol. That equals 7.09 m3/molecule. So the volume of a molecule is 7.09m3.
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In the carbonation of a soft drink, the total quantity of carbon dioxide required is the equivalent of 3 volumes of gas to one volume of water at 0⁰C and atmospheric pressure. Calculate (i) the mass fraction and (ii) the mole fraction of the CO2 in the drink, ignoring all components other than CO2 and water. Basis 1 m3 of water = 1000 kg Volume of carbon dioxide added = 3 m3 From the gas equation, pV = nRT 1 x 3 = n x 0.08206 x 273 n = 0.134 mole. Molecular weight of carbon dioxide = 44 And so weight of carbon dioxide added = 0.134 x 44 = 5.9 kg
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