Calulate the volume of carbon dioxide produced when 0.5 tonnes of iron are produce.When iron oxide is heated with carbon monoxide, pure iron and carbon dioxide are formed.
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To calculate the volume of carbon dioxide produced when 0.5 tonnes of iron are produced, we need to use the stoichiometry of the reaction. The balanced equation for the reaction is:
Fe2O3 + 3CO -> 2Fe + 3CO2
From the equation, we can see that 1 mole of Fe2O3 reacts with 3 moles of CO to produce 3 moles of CO2. To calculate the volume of CO2, we need to know the number of moles of CO2 produced.
1. Convert the mass of iron from tonnes to kilograms:
0.5 tonnes = 500 kilograms
2. Calculate the number of moles of iron produced using the molar mass of iron (Fe):
Molar mass of Fe = 55.845 g/mol
Number of moles of Fe = Mass of Fe / Molar mass of Fe
Number of moles of Fe = 500 kg / 55.845 g/mol
3. Use the stoichiometry of the reaction to determine the number of moles of CO2 produced:
From the balanced equation, we know that 1 mole of Fe2O3 reacts with 3 moles of CO2.
So, Moles of CO2 = 3 * Number of moles of Fe
4. Calculate the volume of CO2 using the ideal gas law:
Volume of CO2 = Moles of CO2 * Molar volume of gas at standard temperature and pressure (STP)
Molar volume at STP = 22.414 L/mol
Finally, substitute the values into the equation to calculate the volume of CO2 produced.