Let the total mass of solution be 100g
Mass of sodium carbonate = 30g
Mass of water = 100 - 30 = 70 g
Moles of Na2CO3 = 30/106 = 0.28 g/mol
Moles of water = 70/18 = 3.89 mol
Mole fraction of sodium carbonate = moles of sodium carbonate/ (moles of sodium carbonate + moles of water)
= 0.28/(0.28 + 3.89)
=0.28/4.17 = 0.067