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Calculate relative rate of effusion of SO2 to CH4,if the mixture obtained by effusing out a mixture with molar ratio nso2/nch4=8/1 for three effusing steps.
First U must know the Rate of effusion formulae.That is:R = PA/root(MT)For SO2,R1 = P1A/root(64T)................(1)P1V = 8nRT..............(2)For CH4,R2 = P2A/root(16T)...............(3)P2V = nRT.....................(4)divide eqn. (1) and (3)and eqn. (2) and (4),we get, R1/R2 = (P1/P2)*root(16/64) =P1/2P2andP1/P2 = 8Therfore,R1/R2 = 8/2 = 4/1 => 4:1is the answer.
Nso2/nch4×√(m.m of ch4/m.m of so2)=rate of diffusion of so2/ rate of diffusion of ch4Therefore 8/1×√(16/64)^3 as there are three effusing stage8/1×1/8=1:1 which is the answer
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