Combustion Stoichiometry
Complete combustion of one mole of propane consumes oxygen, and the volume of oxygen needed at standard temperature and pressure must be calculated precisely.
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Solution
112 L
Complete combustion of a hydrocarbon converts it to carbon dioxide and water, and the balanced equation fixes the stoichiometric ratio of oxygen consumed. For propane the equation is C3H8+5O2→3CO2+4H2O. Balancing shows that one mole of propane requires exactly five moles of oxygen. At standard temperature and pressure one mole of any ideal gas occupies 22.4 L, so five moles of oxygen occupy 5×22.4=112 L. Hence 112 L of oxygen are needed. The value 22.4 L is wrong because it represents only one mole of oxygen, ignoring the stoichiometric factor of five. The value 56 L corresponds to 2.5 moles, which would come from an incorrectly balanced equation, so it is incorrect. The value 134.4 L equals six moles and overestimates the oxygen requirement, so it does not fit. The reliability of the calculation rests on the law of conservation of mass, which guarantees that the coefficients in the balanced equation reflect the true mole ratios of reactants and products. Avogadro's law then ensures that equal moles of any gas occupy equal volumes under the same conditions, validating the direct conversion from moles to litres. This applies the NCERT combustion equation together with molar gas volume. A plausibility check: propane has eight hydrogens and three carbons, demanding substantial oxygen, and five moles giving 112 L is consistent with the balanced reaction.
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About This Question
- Subject
- chemistry
- Chapter
- hydrocarbons
- Topic
- combustion stoichiometry
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
112 L
Complete combustion of a hydrocarbon converts it to carbon dioxide and water, and the balanced equation fixes the stoichiometric ratio of oxygen consumed. For propane the equation is C3H8+5O2→3CO2+4H2O. Balancing shows that one mole of propane requires exactly five moles of oxygen. At standard temperature and pressure one mole of any ideal gas occupies 22.4 L, so five moles of oxygen occupy 5×22.4=112 L. Hence 112 L of oxygen are needed. The value 22.4 L is wrong because it represents only one mole of oxygen, ignoring the stoichiometric factor of five. The value 56 L corresponds to 2.5 moles, which would come from an incorrectly balanced equation, so it is incorrect. The value 134.4 L equals six moles and overestimates the oxygen requirement, so it does not fit. The reliability of the calculation rests on the law of conservation of mass, which guarantees that the coefficients in the balanced equation reflect the true mole ratios of reactants and products. Avogadro's law then ensures that equal moles of any gas occupy equal volumes under the same conditions, validating the direct conversion from moles to litres. This applies the NCERT combustion equation together with molar gas volume. A plausibility check: propane has eight hydrogens and three carbons, demanding substantial oxygen, and five moles giving 112 L is consistent with the balanced reaction.
This medium difficulty chemistry question is from the chapter hydrocarbons, covering the topic of combustion stoichiometry. It appeared in the 2025 exam.
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