Calculate the mole fraction of H2 in a gas mixture

How to calculate the mole fraction of H2 in a given gas mixture?

What are the steps involved in determining the mole fraction of H2?

Answer:

The mole fraction of H2 in a gas mixture can be calculated by finding the moles of H2 and the total moles of all components, and then applying the formula: mole fraction of H2 = moles of H2 / total moles.

Explanation:

To calculate the mole fraction of H2 in a given gas mixture, follow these steps:

1. Convert the mass of each component to moles using their respective molar masses:

- Moles of N2 = 6.60 g / 28.01 g/mol = 0.235 mol

- Moles of H2 = 4.40 g / 2.02 g/mol = 2.178 mol

- Moles of CH4 = 15.6 g / 16.04 g/mol = 0.973 mol

2. Calculate the total moles by adding the moles of all components:

- Total moles = moles of N2 + moles of H2 + moles of CH4

- Total moles = 0.235 mol + 2.178 mol + 0.973 mol = 3.386 mol

3. Determine the mole fraction of H2 by dividing the moles of H2 by the total moles:

- Mole fraction of H2 = moles of H2 / total moles

- Mole fraction of H2 = 2.178 mol / 3.386 mol ≈ 0.643

Therefore, the mole fraction of H2 in the gas mixture is approximately 0.643.

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