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QUESTION
What volume of 
CO_(2(g)) at STP is obtained by complete combustion of 
6g carbon?
[2023]
(A) 
22.4dm^(3)
(B) 
11.2dm^(3) 
◻
(C) 
5.6dm^(3)
(D) 
2.24dm^(3)

QUESTION\newlineWhat volume of CO2(g)\text{CO}_{2(g)} at STP is obtained by complete combustion of 6g6\,\text{g} carbon?\newline[20232023]\newline(A) 22.4dm322.4\,\text{dm}^{3}\newline(B) 11.2dm311.2\,\text{dm}^{3}\newline(C) 5.6dm35.6\,\text{dm}^{3}\newline(D) 2.24dm32.24\,\text{dm}^{3}

Full solution

Q. QUESTION\newlineWhat volume of CO2(g)\text{CO}_{2(g)} at STP is obtained by complete combustion of 6g6\,\text{g} carbon?\newline[20232023]\newline(A) 22.4dm322.4\,\text{dm}^{3}\newline(B) 11.2dm311.2\,\text{dm}^{3}\newline(C) 5.6dm35.6\,\text{dm}^{3}\newline(D) 2.24dm32.24\,\text{dm}^{3}
  1. Calculate moles of carbon: Calculate the moles of carbon used in the reaction.\newlineMolar mass of carbon (C) = 12g/mol12 \, \text{g/mol}.\newlineMoles of carbon = mass / molar mass = 6g/12g/mol=0.5mol6 \, \text{g} / 12 \, \text{g/mol} = 0.5 \, \text{mol}.
  2. Write chemical equation: Write the balanced chemical equation for the combustion of carbon.\newlineC(s)+O2(g)CO2(g).\text{C(s)} + \text{O}_2\text{(g)} \rightarrow \text{CO}_2\text{(g)}.\newlineFrom the equation, 11 mole of C\text{C} produces 11 mole of CO2\text{CO}_2.
  3. Calculate moles of CO22: Calculate the moles of CO22 produced.\newlineMoles of CO22 = Moles of C = 0.5mol.0.5\,\text{mol}.
  4. Calculate volume at STP: Calculate the volume of CO22 at STP.\newlineAt STP, 11 mole of any gas occupies 22.4dm322.4 \, \text{dm}^3.\newlineVolume of CO22 = Moles of CO22 ×\times Volume per mole = 0.5mol×22.4dm3/mol=11.2dm30.5 \, \text{mol} \times 22.4 \, \text{dm}^3/\text{mol} = 11.2 \, \text{dm}^3.

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