in an experiment of oxgen to hydrogen in water molecule. 9g of iron were heated in a current of hydrogen,6.5g of iron and 2.8g of water were formed using this data. determine the proportion by mass of oxygen to hydrogen in water
What is the reaction you mean?
To determine the proportion by mass of oxygen to hydrogen in water, we need to analyze the given data and calculate the respective masses of oxygen and hydrogen.
Given:
Mass of iron before reaction (Fe) = 9g
Mass of iron after reaction (Fe) = 6.5g
Mass of water formed (H2O) = 2.8g
Step 1: Calculate the mass of iron that reacted.
Mass of iron reacted = Mass of iron before - Mass of iron after
Mass of iron reacted = 9g - 6.5g
Mass of iron reacted = 2.5g
Step 2: Determine the amount of hydrogen produced in the reaction.
The reaction is: Fe + H2 → Fe + H2O
From the balanced reaction equation, we can see that for every 1 mole of Fe, 1 mole of H2 is formed. So we need to calculate the amount of moles of Fe to determine the amount of moles of H2.
Molar mass of Fe = 55.85 g/mol
Number of moles of Fe reacted = Mass of iron reacted / Molar mass of Fe
Number of moles of Fe reacted = 2.5g / 55.85 g/mol
Number of moles of Fe reacted ≈ 0.045 mol
Number of moles of H2 formed = Number of moles of Fe reacted ≈ 0.045 mol
Step 3: Calculate the amount of oxygen in the water formed.
The molar ratio between H2 and H2O is 2:1. This means that for every 2 moles of H2, 1 mole of H2O is formed.
Number of moles of H2O formed = 0.5 * Number of moles of H2 formed
Number of moles of H2O formed = 0.5 * 0.045 mol
Number of moles of H2O formed = 0.0225 mol
Step 4: Determine the mass of oxygen in the water formed.
The molar mass of H2O = 18.015 g/mol
Mass of oxygen in H2O formed = Number of moles of H2O formed * Molar mass of H2O
Mass of oxygen in H2O formed = 0.0225 mol * 18.015 g/mol
Mass of oxygen in H2O formed ≈ 0.405 g
Step 5: Calculate the proportion by mass of oxygen to hydrogen in water.
Proportion of oxygen to hydrogen = Mass of oxygen / Mass of hydrogen
Proportion of oxygen to hydrogen = 0.405 g / 2.8 g
The proportion by mass of oxygen to hydrogen in water is approximately 0.145.
Therefore, the proportion of oxygen to hydrogen in water is about 0.145.