Carbon Dioxide (C is a greenhouse gas contributing to climate change.푂 2 ) Consider the combustion reaction in propane ( , a minor component in퐶 3 퐻 8 ) natural gas which is used in domestic cooking and heating 퐶 3 퐻 8 + 5푂 2 →3퐶푂 2 + 4퐻 2 푂 Calculate the mass (in kg) of propane needed to produce 2 metric tons (2,000 kg) of C .
Question
Carbon Dioxide (C is a greenhouse gas contributing to climate change.푂 2 ) Consider the combustion reaction in propane ( , a minor component in퐶 3 퐻 8 ) natural gas which is used in domestic cooking and heating 퐶 3 퐻 8 + 5푂 2 →3퐶푂 2 + 4퐻 2 푂 Calculate the mass (in kg) of propane needed to produce 2 metric tons (2,000 kg) of C .
Solution
To calculate the mass of propane needed to produce 2 metric tons of CO2, we first need to understand the stoichiometry of the reaction.
The balanced chemical equation is:
C3H8 + 5O2 → 3CO2 + 4H2O
This equation tells us that 1 mole of propane (C3H8) produces 3 moles of carbon dioxide (CO2).
First, we need to convert the mass of CO2 to moles. The molar mass of CO2 is approximately 44.01 g/mol.
So, 2,000 kg of CO2 is 2,000,000 g.
2,000,000 g / 44.01 g/mol = 45409.43 moles of CO2.
Since the ratio of propane to CO2 is 1:3, we need 45409.43 / 3 = 15136.48 moles of propane.
The molar mass of propane (C3H8) is approximately 44.1 g/mol.
So, 15136.48 moles * 44.1 g/mol = 667517.69 g or 667.52 kg of propane.
Therefore, approximately 667.52 kg of propane is needed to produce 2 metric tons of CO2.
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