The mole fraction of the solute in one molal aqueous solution is :

To determine the mole fraction of the solute in a one molal aqueous solution, we need to calculate the number of moles of solute and the number of moles of solvent. So, let's calculate the number of moles of solvent: $molesofsolvent=\frac{1000}{18}=55.56$. The number of moles of solute is 1. Then, we can calculate the mole fraction of the solute: $x_{solute}=\frac{molesofsolute}{molesofsolute+molesofsolvent}=\frac{1}{1+55.56}=\frac{1}{56.56}=0.018$. Therefore, the mole fraction of the solute is 0.018.