8 g of NaOH is dissolved in 18 g of . Mole fraction of NaOH in solution and molality (in mol ) of the solution respectively are
- A.0.2, 11.11
- B.0.167, 22.20
- C.0.2, 22.20
- D.0.167, 11.11
Show answer and solution
Correct option: D
Solution
Moles of NaOH = 8/40 = 0.2 mol; moles of H₂O = 18/18 = 1 mol.
Mole fraction of NaOH = 0.2/(0.2 + 1) = 0.2/1.2 = 0.167.
Molality = moles of solute / kg of solvent = 0.2 mol / 0.018 kg = 11.11 mol kg⁻¹.
Mole fraction of NaOH = 0.2/(0.2 + 1) = 0.2/1.2 = 0.167.
Molality = moles of solute / kg of solvent = 0.2 mol / 0.018 kg = 11.11 mol kg⁻¹.
[JEE Main 2019 · 12 Jan · Shift II]