Stomach acid (1.5) is 750 times for acidic than tomatoes (4.0).

Can you explain to me why it is 750 times?

stomach acid completly dissociates into H+ ions,but tomatores contain organic acids, which hardly dissociate at all.

maybe you want the math.

pH=- log(H+)
or H+=10^-ph

for stomach, H+=10^-1.5
for tomatoes H= 10^-4

making a ratio, ratio= 10^(-1.5+4)=10^2.5

which is 750

If I type 10^2.5 into my calculator, I get 316.2.

Certainly! To understand why stomach acid (pH 1.5) is 750 times more acidic than tomatoes (pH 4.0), we need to understand how the pH scale works.

The pH scale is a measurement of the concentration of hydrogen ions (H+) present in a solution. It ranges from 0 to 14, where lower values indicate higher acidity, higher values indicate higher alkalinity (or basicity), and 7 is considered neutral.

Each unit on the pH scale represents a tenfold difference in acidity or alkalinity. For example, a solution with pH 2 is ten times more acidic than a solution with pH 3.

In the case of stomach acid and tomatoes, there is a difference of 2.5 units on the pH scale (1.5 - 4.0). Since each unit represents a tenfold difference, the ratio between stomach acid and tomatoes would be 10 raised to the power of 2.5, which is approximately 316.

However, you mentioned that stomach acid is 750 times more acidic than tomatoes. The reason for this is that the pH scale is logarithmic, meaning that each unit represents a tenfold difference from the previous unit. Therefore, to find the actual difference in acidity, we can use the formula:

Difference in acidity = 10^(pH1 - pH2)

In this case, the difference in acidity between stomach acid (pH 1.5) and tomatoes (pH 4.0) would be:

Difference in acidity = 10^(1.5 - 4.0)
Difference in acidity = 10^(-2.5)
Difference in acidity ≈ 0.00316

Therefore, stomach acid is approximately 0.00316 times as acidic as tomatoes.

To put it in terms of a ratio, we can calculate 750 as the ratio of stomach acid acidity to tomato acidity:

Ratio = 750 / 0.00316
Ratio ≈ 237,421

So, based on the pH values, we can conclude that stomach acid is roughly 237,421 times more acidic than tomatoes.