A sugar solution is $10$ (w/v). Find (w/v%) if density of solution is $1.25 g / m l$ .

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Solution

10%w/v solution of sugar in water means 10 g of glucose present in 100g of water.
Then Mass of glucose is $10 g$
Mass of water is = $100 g - 10 g = 90 g = 0.09 k g$
and density = $1.2 g m L^{- 1}$
To find the molarity i.e, $\frac{w}{v}$
Density = $\frac{m}{v}$ =1.2 g/ml
volume= $\frac{m a s s}{d e n s i t y}$
molality= $\frac{100 g}{1.2 g / m l} = 83.33 m l = 0.0833 L$
molarity= $\frac{0.0566}{0.0833} = 0.67 M$

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