The composition of a carbon dioxide (CO₂) molecule is one atom of ¹²C and two atoms of ¹⁶O - AQA - A-Level Physics - Question 10 - 2017 - Paper 2
Question 10
The composition of a carbon dioxide (CO₂) molecule is one atom of ¹²C and two atoms of ¹⁶O.
What is the number of molecules of CO₂ in 2.2 kg of the gas?
Worked Solution & Example Answer:The composition of a carbon dioxide (CO₂) molecule is one atom of ¹²C and two atoms of ¹⁶O - AQA - A-Level Physics - Question 10 - 2017 - Paper 2
Step 1
Calculate the molar mass of CO₂
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Answer
The molar mass of CO₂ can be calculated as follows:
Molar mass of ¹²C: 12 g/mol
Molar mass of ¹⁶O: 16 g/mol
Since there is one carbon and two oxygen atoms in CO₂:
extMolarmassofCO2=12+(2imes16)=12+32=44extg/mol
Step 2
Calculate the number of moles in 2.2 kg of CO₂
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Answer
Given that 2.2 kg of CO₂ is equal to 2200 g:
extNumberofmoles=molar mass (g/mol)mass (g)=44g/mol2200g=50 moles
Step 3
Calculate the number of molecules in 50 moles of CO₂
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Answer
Using Avogadro's number, which is approximately (6.022 \times 10^{23}) molecules per mole:
Number of molecules=Number of moles×Avogadro’s number
So,
Number of molecules=50×6.022×1023≈3.011×1025 molecules
Step 4
Identify the correct answer from the options
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Answer
The closest answer to the calculated number of molecules (approximately (3.011 \times 10^{25})) is option C: 3.0×1025.