How many moles of carbon monoxide are needed to react completely with 108 kg of Fe2O3. Fe2O3(s)+CO(g)→Fe(s)+CO2(g)
well, how many moles of Fe2O3 in 108kg?
Now balance the equation:
Fe2O3 + 3CO -> 2Fe + 3CO2
Now you can see how much CO is used.
To determine the number of moles of carbon monoxide needed to react completely with 108 kg of Fe2O3, we need to follow these steps:
Step 1: Calculate the molar mass of Fe2O3
The molar mass of Fe2O3 is calculated by adding up the atomic masses of its constituents:
2(Fe) + 3(O) = (2 x 55.85 g/mol) + (3 x 16.00 g/mol) = 159.7 g/mol
Step 2: Convert kg to grams
108 kg is equal to 108,000 grams (since there are 1000 grams in 1 kg).
Step 3: Calculate the number of moles of Fe2O3
Number of moles = Mass / Molar mass
Number of moles = 108,000 g / 159.7 g/mol ≈ 676.84 mol
Step 4: Determine the stoichiometry
From the balanced equation, we can see that the stoichiometric ratio between Fe2O3 and CO is 1:1. This means that 1 mole of Fe2O3 reacts with 1 mole of CO.
Step 5: Calculate the number of moles of CO
Since the stoichiometric ratio is 1:1, the number of moles of CO needed is also approximately 676.84 mol.
Therefore, approximately 676.84 moles of carbon monoxide are needed to react completely with 108 kg of Fe2O3.
To determine the number of moles of carbon monoxide (CO) needed to react completely with 108 kg of Fe2O3, we need to follow the steps below:
Step 1: Convert the mass of Fe2O3 to moles:
The molar mass of Fe2O3 can be calculated as follows:
Fe = 55.845 g/mol
O = 16.00 g/mol (multiply by 3 since there are three oxygen atoms in Fe2O3)
Molar mass of Fe2O3 = 2 * Fe + 3 * O = 55.845 * 2 + 16.00 * 3 = 159.69 g/mol
To convert the mass of Fe2O3 to moles, we use the relationship:
moles = mass / molar mass
moles = 108,000 g / 159.69 g/mol ≈ 676.45 mol (rounded to four decimal places).
Step 2: Use the balanced equation to find the mole ratio:
From the balanced equation, 1 mole of Fe2O3 reacts with 1 mole of CO to produce 1 mole of CO2. Therefore, the mole ratio of CO to Fe2O3 is 1:1.
Step 3: Calculate the number of moles of CO:
Since the mole ratio between CO and Fe2O3 is 1:1, the number of moles of CO needed is equal to the number of moles of Fe2O3, which is approximately 676.45 moles.
Therefore, approximately 676.45 moles of carbon monoxide are needed to react completely with 108 kg of Fe2O3.