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In a flask, 10.0 mL of a 0.100 M HCl solution is diluted to 1.00 L - VCE - SSCE Chemistry - Question 7 - 2009 - Paper 1

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In a flask, 10.0 mL of a 0.100 M HCl solution is diluted to 1.00 L. In a second flask, 10.0 mL of a 0.100 M KOH solution is also diluted to 1.00 L. Which statement ... show full transcript

Worked Solution & Example Answer:In a flask, 10.0 mL of a 0.100 M HCl solution is diluted to 1.00 L - VCE - SSCE Chemistry - Question 7 - 2009 - Paper 1

Step 1

pH change of the HCl solution

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Answer

When 10.0 mL of 0.100 M HCl is diluted to 1.00 L, the concentration decreases significantly. The formula for pH is given by:

extpH=extlog[extH+] ext{pH} = - ext{log}[ ext{H}^+]

Initially, the number of moles of HCl is:

extmolesofHCl=0.100imes0.010=0.001extmoles ext{moles of HCl} = 0.100 imes 0.010 = 0.001 ext{ moles}

When diluted to 1.00 L, the concentration becomes:

[ ext{H}^+] = rac{0.001 ext{ moles}}{1.00 ext{ L}} = 0.001 ext{ M}

Calculating the initial pH:

extpHextinitial=extlog(0.100)=1.00 ext{pH}_{ ext{initial}} = - ext{log}(0.100) = 1.00

New pH after dilution:

extpHextfinal=extlog(0.001)=3.00 ext{pH}_{ ext{final}} = - ext{log}(0.001) = 3.00

Thus, the pH increases by 2 units.

Step 2

pH change of the KOH solution

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Answer

Similarly, when 10.0 mL of 0.100 M KOH is diluted to 1.00 L, we analyze the change in pH. The initial moles of KOH are:

extmolesofKOH=0.100imes0.010=0.001extmoles ext{moles of KOH} = 0.100 imes 0.010 = 0.001 ext{ moles}

After dilution to 1.00 L, the concentration of OH⁻ becomes:

[ ext{OH}^-] = rac{0.001 ext{ moles}}{1.00 ext{ L}} = 0.001 ext{ M}

Calculating the initial pOH:

extpOHextinitial=extlog(0.100)=1.00 ext{pOH}_{ ext{initial}} = - ext{log}(0.100) = 1.00

New pOH after dilution:

extpOHextfinal=extlog(0.001)=3.00 ext{pOH}_{ ext{final}} = - ext{log}(0.001) = 3.00

Using the relationship between pH and pOH, we find:

extpH+extpOH=14ightarrowextpHextfinal=143=11 ext{pH} + ext{pOH} = 14 ightarrow ext{pH}_{ ext{final}} = 14 - 3 = 11

Thus, the pH decreases by 2 units.

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