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Q. Aqueous solution of $0.004 \, \text{M}$ $Na_{2}SO_{4}$ and $0.01 \, \text{M}$ glucose are isotonic. The percentage degree of dissociation of $Na_{2}SO_{4}$ is

NTA AbhyasNTA Abhyas 2022

Solution:

For two solutions to be isotonic.
$ i \times \pi_{ Na _2} SO _4=\pi_{\text {Glucose }} $
$ (1+2 \alpha) C_1 R T=C_2 R T $
$ (1+2 \alpha) \times 0.004=0.01 $
$ \alpha=0.75 \text { or } 75 \% $