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The figure shows the pH values of some substances - HSC - SSCE Chemistry - Question 7 - 2004 - Paper 1

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The figure shows the pH values of some substances. Based on the pH values shown in the figure, which of the following statements about the concentration of hydrogen... show full transcript

Worked Solution & Example Answer:The figure shows the pH values of some substances - HSC - SSCE Chemistry - Question 7 - 2004 - Paper 1

Step 1

It is twice as great in milk as that in lemon juice.

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Answer

To assess this statement, we need to compare the pH values. Assuming lemon juice has a low pH (around 2) and milk has a higher pH (around 6), this indicates that the concentration of hydrogen ions in lemon juice is much greater than in milk. Thus, this statement is incorrect.

Step 2

It is 1 000 000 times greater in soap than in wine.

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Answer

If soap has a pH around 12 and wine has a pH around 3, we can calculate the concentration of hydrogen ions. Using the formula:

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

For wine:

[H+]wine=103[H^+]_{wine} = 10^{-3}

For soap:

[H+]soap=1012[H^+]_{soap} = 10^{-12}

To find the ratio:

[H+]soap[H+]wine=1012103=109\frac{[H^+]_{soap}}{[H^+]_{wine}} = \frac{10^{-12}}{10^{-3}} = 10^{-9}

This shows that soap doesn't have a higher concentration of hydrogen ions than wine; hence, this statement is false.

Step 3

It is three times greater in wine than in bleach solution.

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Answer

With bleach having a very high pH (around 12) and wine at a pH around 3, the concentration of hydrogen ions in bleach is far lower than in wine, proving this statement false.

Step 4

It is 1 000 times greater in distilled water than in soap.

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Answer

If distilled water has a neutral pH of 7, then:

[H+]water=107[H^+]_{water} = 10^{-7}

And from previous calculations, assuming soap has a pH around 12, we get:

[H+]soap=1012[H^+]_{soap} = 10^{-12}

The ratio becomes:

[H+]water[H+]soap=1071012=105\frac{[H^+]_{water}}{[H^+]_{soap}} = \frac{10^{-7}}{10^{-12}} = 10^{5}

This indicates that the concentration of hydrogen ions in distilled water is indeed 100,000 times greater than in soap, thus it can reasonably be concluded that this statement is correct.

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