1.

van der Waals constant 'b' for a real gas is 0.02788 lit "mole"^(-1). Calculate the radius of the molecule of the gas.

Answer»

Solution :Volume of one molecule `= (4)/(3) pi r^(3)`
where r is the radius of the molecule.
`therefore` volume of 1 mole `= (4)/(3) pi r^(3) xx` Av. const.
(1 mole contains Av. const of molecules)
We have, `b = 4 xx (4)/(3) pi r^(3) xx` Av. const.
`b = 0.02788` lit/mole = 27.88 mL/mole (GIVEN).
`therefore 27.88 = 4 xx (4)/(3) xx (22)/(7) xx r^(3) xx 6.022 xx 10^(23)`
`therefore r = 1.4 xx 10^(-8) cm`.


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