The mole fraction of benzene in a solution in toluene is 0.40.Calculate the weight percent of benzene in soln?

Molecular weight of benzene (C6H6) = 78 .

Molecular weight of toluene (C6H5CH3) = 92 .

Let, mb grams of benzene is present with (100 - mb) grams of toluene in a 100 grams solution ;

(mb/78)/{(mb/78) + (100 - mb)/92)} = 0.4 ;

mb/78 = 0.4{(46mb + 3900 - 39mb)/3588} ;

0.01282mb = 0.00078038mb + 0.4348 ;

0.01203962mb = 0.4348 ;

mb = 0.4348 / 0.01203962 = 36.1141 .

Weight percentage of benzene = 36.1141 % .

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