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A solution of glucose in water is labell...

A solution of glucose in water is labelled as 10% w/w. what would be the molality and mole fraction of each component in the solution? If the density of solution 1.2 g `mL^(-1)`, then what shall be the molarity of the solution?

Text Solution

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105 w/w solution of glucose means 10g of glucose is present 100 g of solution.
`:.` Weight of glucose = 10g, weight of water `=100-10=90`
Molecular mass of glucose `(C_(6)H_(12)O_(6))`
`=6xx12 +12 xx 1+6xx16=180"g mol"^(-1)`
Number of moles of glucose in 10 g glucose `=(10)/(180)` moles
Molality (m) `=("Number of moles of solutes")/("Mass of water")xx1000`
`=(10)/(180) xx (1000)/(9)"moles kg"^(-1)=0.617m`
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