**Finding the Mole Fraction of each Component in 4.9% Aqueous H2SO4 by Mass**

To find the mole fraction of each component in a solution, we need to follow a step-by-step approach. Let's start by understanding the given information and the concept of mole fraction.

**Given Information:**
- Mass percentage of H2SO4 in the solution: 4.9%
- Density of the solution: 1.02 g/mL

**Mole Fraction:**
Mole fraction is a way to express the composition of a solution in terms of the number of moles of each component. It is defined as the ratio of the number of moles of a particular component to the total number of moles in the solution.

Mathematically, the mole fraction (X) of a component A in a solution is given by:

X(A) = (moles of A) / (total moles in the solution)

To find the mole fraction, we need to determine the number of moles of each component in the solution.

**Step 1: Determining the Mass of H2SO4:**

Given the mass percentage of H2SO4 in the solution is 4.9%, we can calculate the mass of H2SO4 as follows:

Mass of H2SO4 = (4.9/100) * Mass of the Solution

**Step 2: Determining the Volume of the Solution:**

To calculate the volume of the solution, we need to use the density of the solution. The density is given as 1.02 g/mL, which means that 1 mL of the solution has a mass of 1.02 grams.

Volume of the Solution = Mass of the Solution / Density

**Step 3: Finding the Number of Moles of H2SO4:**

To find the number of moles of H2SO4, we need the molar mass of H2SO4, which is 98.09 g/mol.

Number of Moles of H2SO4 = Mass of H2SO4 / Molar Mass of H2SO4

**Step 4: Finding the Number of Moles of Water:**

Since the solution is aqueous, it contains water. We can find the number of moles of water by subtracting the moles of H2SO4 from the total moles in the solution.

Number of Moles of Water = Total Moles in the Solution - Moles of H2SO4

**Step 5: Calculating the Mole Fraction:**

Finally, we can calculate the mole fraction of each component in the solution using the formula:

Mole Fraction (X) = (Number of Moles of the Component) / (Total Moles in the Solution)

For example, the mole fraction of H2SO4 can be calculated as:

Mole Fraction of H2SO4 = (Number of Moles of H2SO4) / (Total Moles in the Solution)

Similarly, the mole fraction of water can be calculated using the number of moles of water divided by the total moles in the solution.

Repeat this calculation for both H2SO4 and water to find their respective mole fractions.

In conclusion, to find the mole fraction of each component in a 4.9% aqueous H2SO4 solution, we need to determine the mass of H2SO4,