1.

Which of the following issuitable alternative for density of the solution , when molarity ( M) and molality ( m ) of an aqueous solution of urea is same at fixed temperature ? ( Molecular wt. of urea= 60 )

Answer»

`1- ( 3M)/( 5)`
`1- ( M )/( 25)`
`( 50+3m)/( 50)`
`( 25+2m)/( 25)`

Solution :`("Molarity")/("Molarity")= ( 1000xx W )/( M XX V )xx ( MxxW_(0))/(1000 xx W ) `
`:.("Molarity")/("Molarity")= ( W_(0))/(V) gm//ml`
Now molarity=molality
`:. ( W_(0))/(V) = 1 gm //ml`
`:. Dm //ml =1 gm//ml + ( "molarity" xx M)/(1000)`
For urea molecular mass ( M=`60 gm //ml`
`:.d= 1+ ( "molarity"xx 60)/( 1000) :. d =(50 + 3M)/(50)`


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