Since mole fraction of solvent is 0.8, it implies that 10moles of aqueous solution will have 8 moles of water and 2 moles of solute.
∴2moles of solute is present in →8moles of water
Or, 2moles of solute is present in →(8×18)gm of water
144gm of water has 2 moles of solute
1gm of water will have 1442moles of solute
1kg of water will have 1442×1000=13.88moles
∴ Molality = 13.88m