Final answer:
To find the percent of hydrogen in the compound, we can use the balanced combustion equation and the masses of CO₂ and H₂O produced. By calculating the moles of carbon and hydrogen and using the mass percent of carbon, we can determine the mass percent of hydrogen.
Step-by-step explanation:
To find the percent of hydrogen in the compound, we need to determine the masses of carbon and hydrogen in the original sample. We know that for every 1 mole of CO₂ produced, there is 1 mole of carbon in the sample. Similarly, for every 2 moles of H₂O produced, there are 2 moles of hydrogen in the sample. We can use the masses of CO₂ and H₂O and their molar masses to calculate the masses of carbon and hydrogen.
Given that the compound contains 0.220 g of CO₂ and 0.126 g of H₂O, we can convert these masses to moles using the molar masses of CO₂ and H₂O. Then, we can use the mole ratios to determine the moles of carbon and hydrogen. As the percent of carbon is known to be 24%, we can calculate the percent of hydrogen using the masses of carbon and hydrogen.
To convert the masses of CO₂ and H₂O to moles, we divide the given masses by their respective molar masses:
Number of moles of CO₂ = 0.220 g CO₂ / molar mass of CO₂
Number of moles of H₂O = 0.126 g H₂O / molar mass of H₂O
Next, we use the mole ratios from the balanced combustion equation to determine the moles of carbon and hydrogen:
For every 1 mole of CO₂, there is 1 mole of carbon.
For every 2 moles of H₂O, there are 2 moles of hydrogen.
So, the number of moles of carbon = number of moles of CO₂
And the number of moles of hydrogen = 2 * number of moles of H₂O
Finally, we can calculate the percent of hydrogen by dividing the mass of hydrogen by the total mass of the compound and multiplying by 100:
Percent of hydrogen = (mass of hydrogen / total mass of compound) * 100