Determine the osmotic pressure of a solution prepared by dissolving 2.5 \times10^{-2} {g} of {K}_2 {SO}_4 in 2 {L} of water at 25^\circ{C}, assuming that it is completely dissociated. ({R}=0.0821 {L}_1 {atm} {K}{ }^{-1} {mol}^{-1}., Molar mass of {K}_2 {SO}_4 =174 {g} {mol}^{-1})

CBSE Class 12 Chemistry 2013 Solved Paper - Question 20

Question : 20 of 30

Marks: +1, -0

Determine the osmotic pressure of a solution prepared by dissolving

2.5 ×10^{-2} {g}

{K}_2 {SO}_4

2 {L}

of water at

25°{C}

, assuming that it is completely dissociated.

({R}=0.0821 {L}_1 {atm} {K}{ }^{-1} {mol}^{-1}.

, Molar mass of

{K}_2 {SO}_4

=174 {g} {mol}^{-1})

Solution:

Reaction is:

{K}_2 {SO}_4 \→2 {K}^{+}+{SO}_4^{2-}

No. of produced ions

=3

\π=i {CRT}

\π={3 \×0.025 \× 0.0821 \×0.5 \×298}/{174}

={0.917}/{174}

=0.00527

=5.27 \×10^{-3} {atm}

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