A decimolar solution of potassium ferricyanide (K4[Fe(CN)6]) is 50% dissociated at 300k. calculate the osmotic pressure of solution.
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We have, molarity = n/V
= 0.1 mol/ litre
= 0.1/10^(-)3 mol /m³
= 102 mol/m³
As, πN × V = n ST
Or, πN = (n/V) ST
= 102 × 8.314 × 300 N / m²
Let degree of association be α
Therefore, for K4Fe(CN)6 ↔ 4K(+) + Fe(CN)^(4-)6
1 - α 4α α
It is given that α = 0.5
And,
π exp / πN = 1 + 4α
Therefore, π exp = πN (1 + 4α) =
= 10² × 8.314 × 300 × (1 + 4 × 0.5)
= 10² × 8.314 × 300 × (1 + 2)
Osmotic pressure = 7.483 × 105 N / m²
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