Calculate molar mass of solvent if 5.25% solution of an unknown substance is isotonic with 1.5% solution urea in same solvent kept at same temperature.

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Solution

Isotonic solutions have same osmotic pressures.
Ï€₁ = C₁ RT
Ï€₂ = C₂ RT
Ï€₁ = Ï€₂
C₁ = C₂
n₁ / V = n₂ / V
n₁ = n₂
w₁ / MM₁ = w₂ / MM₂
where, w₁ = 1.5 g
MM₁ = 60 g/mol
w₂ = 5.25
Calculate MM₂, which will the molar mass of the solute.

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Calculate molar mass of solvent if 5.25% solution of an unknown substance is isotonic with 1.5% solution urea in same solvent kept at same temperature.

Isotonic solutions have same osmotic pressures.Ï€1 = C1 RTÏ€2 = C2 RTÏ€1 = Ï€2 C1 = C2 n1 / V = n2 / Vn1 = n2 w1 / MM1 = w2 / MM2where, w1 = 1.5 gMM1 = 60 g/molw2 = 5.25Calculate MM2, which will the molar mass of the solute.

Isotonic solutions have same osmotic pressures.
Ï€₁ = C₁ RT
Ï€₂ = C₂ RT
Ï€₁ = Ï€₂
C₁ = C₂
n₁ / V = n₂ / V
n₁ = n₂
w₁ / MM₁ = w₂ / MM₂
where, w₁ = 1.5 g
MM₁ = 60 g/mol
w₂ = 5.25
Calculate MM₂, which will the molar mass of the solute.