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# 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 is 1.2 g mL^ -1, then what shall be the molarity of the solution?

2.5     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 is $\inline 1.2\; g\; mL^{-1},$  then what shall be the molarity of the solution?

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According to question, $10\%$ mass percentage means in 100 g of solution 10 g glucose is dissolved in 90 g water.

Molar mass of glucose (C6H12O6)  =  $180\ g\ mol^{-1}$

So moles of glucose are :

$\frac{10}{180} = 0.056 mol$

$Moles\: of\: water = \frac{90}{18} = 5 mol$

$Molality = \frac{0.056}{0.09} = 0.62\ m$

Mole fraction :-

$\frac{0.056}{0.056+5} = 0.011$

Molarity :-             Volume of 100 g solution  :

$=\frac{100}{1.2} =83.3\ mL$

$Molarity = \frac{0.056}{83.33\times10^{-3}} =0.67\ M$

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