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A 5% solutionb of sucrose (C(12)H(22)O(1...

A 5% solutionb of sucrose `(C_(12)H_(22)O_(11))` is isotone with o.877% solution of urea. Calculate the molecular mass of urea (Atomic mass C=12, H=1, O=16).

Text Solution

Verified by Experts

The correct Answer is:
59.99 g `mol^(-1)`
Scince the two slutions are istonic,
`pi=pi'`
`(n_(B)xxRxxT)/V=(n'_(B)xxRxxt)/(V'),n_(B)/V=(n'_(B))/(V'),W_(B)/(M_(B)xxV)=(W'_(B))/(M'_(B)xxV')`
here" " `W_(B)=5g, V=0.100 L, M_(B)("Mol. mass of sugar", C_(12)H_(22)O_(11))=342" g mol"^(-1)`
`W'_(B)=0.877g, V'=0.100L, M'_(B)=?`
`(5g)/((342" g mol"^(-1))xx(0.1L))=((0.877g))/(M'_(B)xx(0.1L))`
`M'_(B)=((0.877g)xx(342" g mol"^(-1))xx(0.1L))/((5g)xx(0.1L))=59.99" g mol"^(-1).`
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