MHT CET · Chemistry · Redox Reactions
What volume of \(\mathrm{CO}_{2(\mathrm{~g})}\) at STP is obtained by complete combustion of \(6 \mathrm{~g}\) carbon?
- A \(22.4 \mathrm{dm}^3\)
- B \(11.2 \mathrm{dm}^3\)
- C \(5.6 \mathrm{dm}^3\)
- D \(2.24 \mathrm{dm}^3\)
Answer & Solution
Correct Answer
(B) \(11.2 \mathrm{dm}^3\)
Step-by-step Solution
Detailed explanation
\(\mathrm{C}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathrm{~g})} \)
\( 1 \mathrm{~mol} \mathrm{C} \equiv 1 \mathrm{~mol} \mathrm{CO}_{2(\mathrm{~g})} \)
\( 6 \mathrm{~g} \mathrm{C}=0.5 \mathrm{~mol} \mathrm{C} \)
\( \therefore 0.5 \mathrm{~mol} \mathrm{C} \equiv 0.5 \mathrm{~mol} \mathrm{CO}_{2(\mathrm{~g})} \)
\( \text {At STP, } 1 \mathrm{~mol} \mathrm{CO}_{2(\mathrm{~g})}=22.4 \mathrm{dm}^3 \)
\( \therefore 0.5 \mathrm{~mol} \mathrm{CO} 2(\mathrm{~g})=11.2 \mathrm{dm}^3\)
\( 1 \mathrm{~mol} \mathrm{C} \equiv 1 \mathrm{~mol} \mathrm{CO}_{2(\mathrm{~g})} \)
\( 6 \mathrm{~g} \mathrm{C}=0.5 \mathrm{~mol} \mathrm{C} \)
\( \therefore 0.5 \mathrm{~mol} \mathrm{C} \equiv 0.5 \mathrm{~mol} \mathrm{CO}_{2(\mathrm{~g})} \)
\( \text {At STP, } 1 \mathrm{~mol} \mathrm{CO}_{2(\mathrm{~g})}=22.4 \mathrm{dm}^3 \)
\( \therefore 0.5 \mathrm{~mol} \mathrm{CO} 2(\mathrm{~g})=11.2 \mathrm{dm}^3\)
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