What is the pH of a solution with hydrogen ion concentration of 1 × 10⁻⁴ mol/dm³?
A2
B4CORRECT
C10
D14
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Why the answer is B, and why the others tempt you.
## The reasoning
pH measures how acidic or basic a solution is, and it's calculated using this formula:
**pH = −log₁₀[H⁺]**
Where [H⁺] is the hydrogen ion concentration.
Given: [H⁺] = 1 × 10⁻⁴ mol/dm³
Substituting into the formula:
pH = −log₁₀(1 × 10⁻⁴)
pH = −(−4) *(because log₁₀ of 10⁻⁴ = −4)*
**pH = 4**
The negative sign in the formula flips that −4 to positive 4.
## Why the wrong options tempt you
**Option A (2):** You might mistakenly square the exponent or confuse this with a different concentration like 10⁻².
**Option C (10) & D (14):** These come from forgetting the negative sign or mixing up with pOH calculations. Remember, pH + pOH = 14, but that's a different calculation. Also, 10 and 14 would indicate basic solutions, but with lots of H⁺ ions, this solution is clearly acidic.
## Quick takeaway
**Count the zeros after the decimal in standard form — that's your pH!** For 10⁻⁴, the exponent 4 *is* the pH. Simple!
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