26. Whenr,p and Mrepresent rate of ...
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26. Whenr,p and Mrepresent rate of diffusion, pressure and molecular mass, respectively, then the ratio of the rates of diffusion (r Vrn) of two gases A and B, is given as (a) (PA/PB)1/2 (M/M) (b) (PA/PR) (MA/MB)12 (C) (PA/PB)12 (Mg/M2) (d) (PA/Pg) (M2/M2)1/2

11th - 12th Class
Chemistry
Solution
158
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26. (b) Rate of diffusion, ( r propto p ) [ r=frac{1}{sqrt{M}} therefore r propto frac{p}{sqrt{M}} ] For gas ( mathrm{A}, r_{mathrm{A}} propto frac{p_{mathrm{A}}}{sqrt{M_{mathrm{A}}}} ) For gas ( mathrm{B}, r_{mathrm{B}} propto frac{p_{mathrm{B}}}{sqrt{M_{mathrm{B}}}} ) Dividing Eq. (1) by Eq. (2), we get ( frac{r_{mathrm{A}}}{r_{mathrm{B}}}=frac{p_{mathrm{A}}}{p_{mathrm{B}}} sqrt{frac{M_{mathrm{B}}}{M_{mathrm{A}}}} ) or ( frac{p_{mathrm{A}}}{p_{mathrm{B}}}left(frac{M_{mathrm{B}}}{M_{mathrm{A}}}right)^{1 / 2} )
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