Question
  1. Define the following terms:
  1. Molarity.
  2. Molal elevation constant$(Kb).$
  1. A solution containing $15\ g$ urea $($molar mass $= 60\ g\ mol^{–1})$ per litre of solution in water has the same osmotic pressure $($isotonic$)$ as a solution of glucose $($molar mass $= 180\ g\ mol^{–1})$ in water. Calculate the mass of glucose present in one litre of its solution.

Answer

  1.  
  1. Molarity is defined as number of moles of solute dissolved in one litre of solution.
  2. It is equal to elevation in boiling point of $1$ molal solution.
  1. For isotonic solutions: $\pi$ urea $= \pi$ glucose
$\frac{\text{W}_\text{urea}}{\text{M}_\text{urea}\times\text{V}_{s}}=\frac{\text{W}_{Glucose}}{\text{M}_{Glucose}\times\text{V}_{s}} ($As volume of solution is same$)$
$ \frac{\text{W}_{urea}}{\text{M}_{urea}}=\frac{\text{W}_{Glucose}}{\text{M}_{Glucose}}$ or $ \frac{\text{15g}}{\text{60g mol}^{-1}}=\frac{\text{W}_{Glucose}}{\text{180g mol}^{-1}}$
$\text{W}_{Glucose}=\frac{\text{15g}\times\text{180g mol}^{-1}}{\text{60g mol}^{-1}}=\text{45g}$

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