# How many cups is 34 doubled

## A liquid with pH 3 contains twice as many H + ions as one with pH 4. Is this statement true or false?

I am from **same volume** assumed for both solutions and, for the sake of simplicity, from 1 liter.

1 liter of the solution with pH 4 contains 10⁻⁴ or 0.0001 mol H⁺.

1 liter of the solution with pH 3 contains 10⁻³ or 0.001 mol H⁺.

This makes the statement wrong, because the pH 3 solution contains 10 times as many mol H⁺ as the pH 4 solution.

With this approach you don't need to calculate, just compare the values.

But there is how *Tom Richter *has already written another possible solution if one of **different volumes** goes out.

**In 1 liter **the solution with **pH 4** are **0.0001 mol H⁺** contain.

**In 1 liter **the solution with **pH 3** are **0.001 mol H⁺** contain. But:

**In 0.2 liters** the solution with **pH 3** are just left **0.0002 mol H⁺** contain.

Given this assumption of different volumes, the statement is correct:

**0.2 liters** the solution with **pH 3** contain twice as many H⁺ as **1 liter** the solution with **pH 4**.

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