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JEE Main 2023 · 25 Jan · Shift 2

JEE Main 2023 Chemistry question on Equilibrium

When the hydrogen ion concentration [H+][\text{H}^+] changes by a factor of 1000, the value of pH of the solution ________
  1. A.
    decreases by 2 units
  2. B.
    increases by 2 units
  3. C.
    decreases by 3 units
  4. D.
    increases by 1000 units
Show answer and solution

Correct option: C

Solution

pH = -log[H⁺]. If [H⁺] increases by a factor of 1000 (i.e., multiplied by 10³), then new pH = -log(1000·[H⁺]) = -log[H⁺] - log(10³) = pH - 3. So the pH decreases by 3 units.

[JEE Main 2023 · 25 Jan · Shift 2]

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