100 mL of an 0.0100 M aqueous solution of calcium hydroxide will absorb carbon dioxide according to the equation
$$\text{Ca(OH)}_2(aq) + 2\text{CO}_2(g) \rightarrow \text{Ca(HCO}_3\text{)}_2(aq)$$
The maximum volume, in mL, at STP of CO₂ that could be absorbed by the solution is
A - VCE - SSCE Chemistry - Question 12 - 2002 - Paper 1
Question 12
100 mL of an 0.0100 M aqueous solution of calcium hydroxide will absorb carbon dioxide according to the equation
$$\text{Ca(OH)}_2(aq) + 2\text{CO}_2(g) \rightarrow... show full transcript
Worked Solution & Example Answer:100 mL of an 0.0100 M aqueous solution of calcium hydroxide will absorb carbon dioxide according to the equation
$$\text{Ca(OH)}_2(aq) + 2\text{CO}_2(g) \rightarrow \text{Ca(HCO}_3\text{)}_2(aq)$$
The maximum volume, in mL, at STP of CO₂ that could be absorbed by the solution is
A - VCE - SSCE Chemistry - Question 12 - 2002 - Paper 1
Step 1
Calculate the moles of Ca(OH)₂ in the solution
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Answer
To find the moles of Ca(OH)₂, we can use the formula:
Moles=Concentration×Volume
Using the given concentration of 0.0100 M and a volume of 100 mL (0.100 L):
Moles of Ca(OH)2=0.0100×0.100=0.00100 moles
Step 2
Determine the moles of CO₂ that can react
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Answer
From the balanced equation, we see that 1 mole of Ca(OH)₂ reacts with 2 moles of CO₂. Therefore, the moles of CO₂ that can react with 0.00100 moles of Ca(OH)₂ is:
Moles of CO2=2×0.00100=0.00200 moles
Step 3
Calculate the volume of CO₂ at STP
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At STP, 1 mole of gas occupies 22.4 L. To find the total volume of CO₂:
Volume=Moles×22.4 L/mole
Thus:
Volume of CO2=0.00200 moles×22.4 L/mole=0.0448 L
Converting this to mL:
0.0448 L×1000=44.8 mL
Step 4
State the maximum volume absorbed
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Answer
The maximum volume of CO₂ that could be absorbed by the solution at STP is 44.8 mL.