How much CO₂ is produced on heating of 1 kg of carbon ?
11/3 kg
3/11 kg
4/3 kg
3/4 kg
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC NDA-2 – 2017
C (s) + O₂ (g) → CO₂ (g)
The molar mass of Carbon (C) is approximately 12 g/mol.
The molar mass of Carbon Dioxide (CO₂) is approximately 12 g/mol (for C) + 2 * 16 g/mol (for O) = 44 g/mol.
According to the stoichiometry of the balanced equation, 1 mole of carbon reacts to produce 1 mole of carbon dioxide.
Therefore, 12 grams of carbon produce 44 grams of carbon dioxide.
To find the amount of CO₂ produced from 1 kg (1000 g) of carbon, we can use the ratio:
(Mass of CO₂ produced / Mass of C reacted) = (Molar mass of CO₂ / Molar mass of C)
Mass of CO₂ produced = (44 g / 12 g) * 1000 g
Mass of CO₂ produced = (11/3) * 1000 g = 11000/3 g
Converting grams to kilograms: 11000/3 g = (11000/3) / 1000 kg = 11/3 kg.
– Molar mass ratio of CO₂ to C is 44:12, which simplifies to 11:3.
– The mass of CO₂ produced is 11/3 times the mass of carbon reacted.