Calculation of Mole Fraction of Solute in Urea Solution
The mole fraction of solute in a solution is defined as the ratio of moles of solute to the total moles of solute and solvent in the solution. In this case, we are given a 0.2 molal aqueous solution of urea.

Step 1: Determine the Number of Moles of Urea
Since the solution is 0.2 molal, this means that there are 0.2 moles of urea dissolved in 1 kg of water. To find the number of moles of urea in the solution, we need to convert the mass of water to moles.

Step 2: Calculate the Total Moles of Solute and Solvent
Since the total moles of solute and solvent in the solution are equal to the moles of urea (solute), we need to calculate the moles of water in 1 kg.

Step 3: Find the Mole Fraction of Urea
Now that we have the moles of urea and water, we can calculate the mole fraction of urea in the solution using the formula:
Mole fraction of urea = Moles of urea / Total moles of solute and solvent
By plugging in the values, we can find the mole fraction of urea in the 0.2 molal aqueous solution of urea.
Therefore, by following these steps and calculations, we can determine the mole fraction of solute in the given urea solution.

Molarity of urea solution will be , 0.2 / 0.176 = 1.136