Calculate the Mole Fraction of H₂SO₄ in a Solution

What is a Solution?

A solution is a homogeneous mixture of two or more substances, where the substances are evenly distributed at the molecular or ionic level. In a solution, the solute is the substance that is dissolved, while the solvent is the substance that dissolves the solute. The properties of a solution are different from those of its individual components, and the composition of a solution can be varied within certain limits. Solutions can be classified as solid, liquid, or gas solutions, depending on the state of the solvent and solute.

How can we calculate the mole fraction of H₂SO₄ in a solution?

To calculate the mole fraction of H₂SO₄ in a solution, we need to first calculate the moles of H₂SO₄ and water:

Moles of H₂SO₄ = Mass / Molar mass = 583 g / 98.079 g/mol = 5.945 mol

Moles of water = Mass / Molar mass = 1.50 kg / 18.0153 g/mol = 83.277 mol

The total moles of solute and solvent in the solution are:

Total moles = Moles of H₂SO₄ + Moles of water = 5.945 mol + 83.277 mol = 89.222 mol

What is the mole fraction of H₂SO₄ in the given solution?

The mole fraction of H₂SO₄ in the given solution is 0.0666.

Solution:

The mole fraction of H₂SO₄ in the given solution is 0.0666.

A solution is a combination of two or more substances that are evenly distributed throughout the mixture. The mole fraction is a way to express the concentration of a particular component in a solution.

In this case, to calculate the mole fraction of H₂SO₄ in the solution, we first determine the moles of H₂SO₄ and water present. We then calculate the total moles of solute and solvent in the solution and use that information to find the mole fraction of H₂SO₄.

The mole fraction of H₂SO₄ is calculated by dividing the moles of H₂SO₄ by the total moles of solute and solvent in the solution. In this scenario, the mole fraction of H₂SO₄ in the given solution is 0.0666.

This calculation helps us understand the relative abundance of H₂SO₄ compared to water in the solution, providing valuable information about the composition and properties of the mixture.

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