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

To analyze this, we compare the pH values of soap (around 12) and wine (around 3). Using the same formula:

For soap:

$ext{[H}^+\text{]}_{soap} = 10^{-12} = 1.0\times 10^{-12}\,M$

For wine:

$ext{[H}^+\text{]}_{wine} = 10^{-3} = 0.001\,M$

Thus, the ratio:

$\frac{ ext{[H}^+\text{]}_{soap}}{ ext{[H}^+\text{]}_{wine}} = \frac{10^{-12}}{10^{-3}} = 10^{-12 + 3} = 10^{-9}$

This is not equal to 1,000,000. Therefore, this statement is incorrect.

The pH of bleach is typically around 12.5:

For bleach:

$ext{[H}^+\text{]}_{bleach} = 10^{-12.5} \approx 3.16 \times 10^{-13}\,M$

Thus, the ratio of concentration:

$\frac{ ext{[H}^+\text{]}_{wine}}{ ext{[H}^+\text{]}_{bleach}} = \frac{0.001}{3.16 \times 10^{-13}} \approx 3160$

This shows that wine is not three times greater than bleach. Therefore, this statement is incorrect.

The pH of distilled water is about 7:

For distilled water:

$ext{[H}^+\text{]}_{water} = 10^{-7}\,M$

Previously calculated for soap:

$\text{[H}^+\text{]}_{soap} = 10^{-12}\,M$

Thus, the ratio:

$\frac{ ext{[H}^+\text{]}_{water}}{ ext{[H}^+\text{]}_{soap}} = \frac{10^{-7}}{10^{-12}} = 10^{5} = 100000$

This shows distilled water is indeed much greater in hydrogen ion concentration than soap, making this statement correct.