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

Solution

Consider 100 g of 10% solution of glucose whose conc. is 10% W / W.
Mass of solution = 100 g
Mass of glucose = 10 g
Mass of solvent = 100 – 10 = 90 g
Molar mass of glucose,
C₆H₁₂O₆ = 6 x 12 + 12 x 1 + 6 x 16
= 72 + 12 + 96 = 180 g / mol

Molality = $\frac{Mass of solute}{Molar mass of solute} \times \frac{1}{Mass of solvent in kg}$
   $= \frac{10}{180 \times 0.09 kg} = 0.617 m .$

Moles of $H_{2} O, n_{A} = \frac{90}{18} = 5$
Moles of glucose, $n_{B} = \frac{10}{180} = 0.055$
   $\frac{0.055}{5 + 0.055} = 0.0108 = . 01$
Mole fraction of glucose, $x_{B} = \frac{n_{B}}{n_{A} + n_{B}}$
Mole fraction of water
   $x_{A} = 1 - x_{b} = 1 - 0.0108 = 0.989 = 0.99$
Density of sol = 1.2 g mol L
Therefore, volume of solution
$= \frac{Mass}{Density} = \frac{100}{1.2} = 83.33 mL$

Molarity = $\frac{10 / 180}{83.33 / 100} = 0.67$

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Solutions

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

Some More Questions From Solutions Chapter

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 37⁰C.

Suppose a solid solution is formed between two substances, one whose particles are very large and the other whose particles are very small. What kind of solid solution is this likely to be?

Amongst the following compunds identify which are insoluble, partially soluble and highly soluble in water?
(i) phenol (ii) toluene (iii) formic acid (iv) ethylene glycol (v) chloroform, (vi) pentanol.

Two liquids A and B boils at 145⁰C and 190⁰C respectively. Which of them has a higher vapour pressure at 80⁰C ?

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Solutions

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 the solution is 1.2 g mL–1, then what shall be the molarity of the solution?

Some More Questions From Solutions Chapter

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 370C.

Suppose a solid solution is formed between two substances, one whose particles are very large and the other whose particles are very small. What kind of solid solution is this likely to be?

Amongst the following compunds identify which are insoluble, partially soluble and highly soluble in water?(i) phenol (ii) toluene (iii) formic acid (iv) ethylene glycol (v) chloroform, (vi) pentanol.

Two liquids A and B boils at 1450C and 1900C respectively. Which of them has a higher vapour pressure at 800C ?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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

Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL at 37⁰C.

Amongst the following compunds identify which are insoluble, partially soluble and highly soluble in water?
(i) phenol (ii) toluene (iii) formic acid (iv) ethylene glycol (v) chloroform, (vi) pentanol.

Two liquids A and B boils at 145⁰C and 190⁰C respectively. Which of them has a higher vapour pressure at 80⁰C ?