Calculating the Mole Fraction of Water in the Aqueous Solution

To calculate the mole fraction of water in an aqueous solution, we need to have some information about the solution. In this case, we are given the concentration of the solution. Let's break down the steps to determine the mole fraction:

Step 1: Understand the Problem
We have an aqueous solution with a concentration of 5.55M. We want to find the mole fraction of water in this solution. Mole fraction is a way to express the composition of a solution in terms of the number of moles of a specific component relative to the total number of moles in the solution.

Step 2: Calculate the Number of Moles of Water
To calculate the number of moles of water, we need to know the total volume of the solution. Let's assume that the volume of the solution is 1 liter.

Molarity (M) is defined as the number of moles of solute per liter of solution. Since we are given the concentration of the solution as 5.55M, this means that there are 5.55 moles of solute (water) in 1 liter of solution.

Therefore, the number of moles of water in the solution is 5.55 moles.

Step 3: Calculate the Total Number of Moles in the Solution
Since the only solute in this solution is water, the total number of moles in the solution is also 5.55 moles.

Step 4: Calculate the Mole Fraction of Water
The mole fraction of water (Xwater) is defined as the ratio of the number of moles of water to the total number of moles in the solution.

Xwater = moles of water / total moles in the solution

Substituting the values we have:

Xwater = 5.55 moles / 5.55 moles = 1

Therefore, the mole fraction of water in the aqueous solution is 1.

Explanation:
The mole fraction is a dimensionless quantity that ranges from 0 to 1. A mole fraction of 1 means that water is the only component in the solution, and there are no other solutes present. In other words, the solution is pure water.