Calculate the Mole Fraction of Hydrogen in a Gas Tank

What is the mole fraction of hydrogen in a tank of gas containing 10-kg hydrogen and 220-kg oxygen?

The mole fraction of hydrogen in the tank of gas is 0.42. To find the mole fraction of hydrogen in the tank of gas, we need to calculate the ratio of the moles of hydrogen to the total moles of gas in the tank.

Calculating Mole Fraction of Hydrogen

Step 1: Convert the mass of hydrogen and oxygen into moles using their respective molar masses. Molar mass of hydrogen (H₂) = 2 g/mol Molar mass of oxygen (O₂) = 32 g/mol Moles of hydrogen: 10 kg = 10000 g Moles of hydrogen = 10000 g / 2 g/mol = 5000 mol Moles of oxygen: 220 kg = 220000 g Moles of oxygen = 220000 g / 32 g/mol = 6875 mol Step 2: Calculate the total moles of gas in the tank by summing the moles of hydrogen and oxygen. Total moles of gas = Moles of hydrogen + Moles of oxygen Total moles of gas = 5000 mol + 6875 mol Total moles of gas = 11875 mol Step 3: Calculate the mole fraction of hydrogen by dividing the moles of hydrogen by the total moles of gas. Mole fraction of hydrogen = Moles of hydrogen / Total moles of gas Mole fraction of hydrogen = 5000 mol / 11875 mol Mole fraction of hydrogen = 0.42 Therefore, the mole fraction of hydrogen in the tank of gas is 0.42.
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