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If Solution X has a pH of 3 and Solution Y has a pH of 6, we can conclude that A - VCE - SSCE Chemistry - Question 4 - 2014 - Paper 1

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If Solution X has a pH of 3 and Solution Y has a pH of 6, we can conclude that A. [H+] in Solution X is 1000 times that of [H+] in Solution Y. B. [H+] in Solution X ... show full transcript

Worked Solution & Example Answer:If Solution X has a pH of 3 and Solution Y has a pH of 6, we can conclude that A - VCE - SSCE Chemistry - Question 4 - 2014 - Paper 1

Step 1

[H+] in Solution X is 1000 times that of [H+] in Solution Y.

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Answer

To find the concentration of hydrogen ions, we use the formula:

[H+]=10pH[H^+] = 10^{-pH}

For Solution X: [H+]=103[H^+] = 10^{-3}

For Solution Y: [H+]=106[H^+] = 10^{-6}

Now we calculate the ratio: [H+]X[H+]Y=103106=103=1000\frac{[H^+]_{X}}{[H^+]_{Y}} = \frac{10^{-3}}{10^{-6}} = 10^{3} = 1000

Thus, [H+] in Solution X is indeed 1000 times that of [H+] in Solution Y.

Step 2

[H+] in Solution X is half that of [H+] in Solution Y.

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Answer

From the previous calculations, we found: [H+]X=103[H^+]_{X} = 10^{-3} and [H+]Y=106[H^+]_{Y} = 10^{-6}. This implies: [H+]X[H+]Y=1000\frac{[H^+]_{X}}{[H^+]_{Y}} = 1000, indicating that Solution X contains much more [H+] than Solution Y, making this statement false.

Step 3

[OH-] in Solution Y is twice that of [OH-] in Solution X.

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Answer

Using the relationship between pH and pOH: pOH=14pHpOH = 14 - pH,

For Solution X: pOHX=143=11pOH_{X} = 14 - 3 = 11, [OH]X=1011[OH^-]_{X} = 10^{-11}.

For Solution Y: pOHY=146=8pOH_{Y} = 14 - 6 = 8, [OH]Y=108[OH^-]_{Y} = 10^{-8}.

Now, we calculate: [OH]Y[OH]X=1081011=103=1000\frac{[OH^-]_{Y}}{[OH^-]_{X}} = \frac{10^{-8}}{10^{-11}} = 10^{3} = 1000,

Thus, [OH-] in Solution Y is not twice but 1000 times that of [OH-] in Solution X, making this statement false.

Step 4

Solution Y must contain a stronger acid than Solution X.

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Answer

Stronger acids dissociate to give higher concentrations of [H+]. Since we have found that [H+] in Solution X (1000 times more than in Solution Y), Solution Y must not have a stronger acid than Solution X, thus this statement is also false.

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