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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

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Question 12

100-mL-of-an-0.0100-M-aqueous-solution-of-calcium-hydroxide-will-absorb-carbon-dioxide-according-to-the-equation--$$\text{Ca(OH)}_2(aq)-+-2\text{CO}_2(g)-\rightarrow-\text{Ca(HCO}_3\text{)}_2(aq)$$--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.png

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\text{Moles} = \text{Concentration} \times \text{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\text{Moles of Ca(OH)}_2 = 0.0100 \times 0.100 = 0.00100 \text{ 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\text{Moles of CO}_2 = 2 \times 0.00100 = 0.00200 \text{ moles}

Step 3

Calculate the volume of CO₂ at STP

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Answer

At STP, 1 mole of gas occupies 22.4 L. To find the total volume of CO₂:

Volume=Moles×22.4 L/mole\text{Volume} = \text{Moles} \times 22.4 \text{ L/mole}

Thus:

Volume of CO2=0.00200 moles×22.4 L/mole=0.0448 L\text{Volume of CO}_2 = 0.00200 \text{ moles} \times 22.4 \text{ L/mole} = 0.0448 \text{ L}

Converting this to mL:

0.0448 L×1000=44.8 mL0.0448 \text{ L} \times 1000 = 44.8 \text{ 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.

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