A solution containing 10.2 g glycerine per litre is isotonic with a 2 % solution of glucose. What is the molecular mass of glycerine?

Question

A solution containing 10.2 g glycerine per litre is isotonic with a 2 % solution of glucose. What is the molecular mass of glycerine? (A) 91.8 g (B) 1198 g (C) 83.9 g (D) 890.3 g

Tardigrade Admin · Accepted Answer

πglycerine = πglucose (n1/V1)RT = (n2/V2)RT (10.2/M) × (1/1) = (2/180) × (1000/100) ⇒ M = (10.2 × 18/2) = 91.8 g (Density of water = 1 g/cm3)

Q. $A$ solution containing $10.2 g$ glycerine per litre is isotonic with a $2%$ solution of glucose. What is the molecular mass of glycerine?

$91.8 g$

$1198 g$

$83.9 g$

$890.3 g$

$π_{g l ycer in e} = π_{g l u cose}$
$\frac{n _{1}}{V _{1}} RT = \frac{n _{2}}{V _{2}} RT$
$\frac{10.2}{M} \times \frac{1}{1}$
$= \frac{2}{180} \times \frac{1000}{100}$
$\Rightarrow M = \frac{10.2 \times 18}{2}$
$= 91.8 g$ (Density of water $= 1 g / c m^{3}$ )

Q. A solution containing 10.2g glycerine per litre is isotonic with a 2% solution of glucose. What is the molecular mass of glycerine?

91.8g

1198g

83.9g

890.3g