Question

What is the calculation if mole fraction of H₂SO₄ in a solution of 583 g of H₂SO₄ (98.079 g/mol) in 1.50 kg of water (18.0153 g/mol)?

0.0713
0.0666
2.12
0.28

Answer 1

First, let's calculate the number of moles of H₂SO₄:

Number of moles of H₂SO₄ = mass of H₂SO₄ / molar mass of H₂SO₄

Number of moles of H₂SO₄ = 583 g / 98.079 g/mol

Number of moles of H₂SO₄ = 5.944 mol

Next, let's calculate the number of moles of water:

Number of moles of water = mass of water / molar mass of water

Number of moles of water = 1.50 kg / 18.0153 g/mol

Number of moles of water = 83.277 mol

The mole fraction of H₂SO₄ can now be calculated as follows:

Mole fraction of H₂SO₄ = moles of H₂SO₄ / total moles

Mole fraction of H₂SO₄ = 5.944 mol / (5.944 mol + 83.277 mol)

Mole fraction of H₂SO₄ = 0.0666

Therefore, the mole fraction of H₂SO₄ in the solution is 0.0666 (rounded to four significant figures).