A 0.004 M solution of $Na_{2} SO_{4}$ is isotonic with 0.01 M glucose solution. Degree of dissociati

Question

A 0.004 M solution of $Na_{2} SO_{4}$ is isotonic with 0.01 M glucose solution. Degree of dissociation of $Na_{2} SO_{4}$ is

Professor PC Thomas Classes · Answer

$Na_{2} SO_{4} \leftrightharpoons 2 Na^{+}+SO_{4}^{2-}$ $\begin{array}{ccc} 1 & 0 & 0 \ 1-\alpha & 2 \alpha & \alpha \ i=1-\alpha+2 \alpha+\alpha= & 1+2 \alpha \end{array}$ $\pi_{glucose }=\pi_{Na_{2} SO_{4}}$ $c_{1} RT \quad=i c_{2} RT$ $0.01=(1+2 \alpha) 	imes 0.004$ $1+2 \alpha=\frac{0.01}{0.004}=2.5 \quad \alpha=0.75$