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Question
A solution 0.1 M of Na2SO4 is dissolved to the extent of 95%. What would be its osmotic pressure at 027 ? C (R = 0.0821 L atm K-1 mol-1) .
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Solution
Conc. of Na2SO4 = 0.1M
Extent of dissociation = 95%
α = 0.95
\[\ce Na_2\underset{1}SO4 = 0.1M \]
α = 0.95
\[\begin{array}{C}
\ce Na_2 \underset{1}SO4 → 2\underset{0}Na^+ + SO_4^{2-}\\
{(1 -α)\phantom{---} 2\alpha \phantom{---} \alpha}\end{array}
\]
After dissociation osmotic pressure (π) = i × CRT
Total number of particles (i) = 1 - α + 3α
=1+2α
i = 1+2 × 0.95 = 1 + 1.90 = 2.90
π = 2.90 × 0.0821 × 300 atm
π = 71.427 atm
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