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An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The …

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An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The pH of HCl solution would
(Given log 2 = 0.30)

[JEE Main 2025, 7 Apr (Shift 1)]

a

reduce to 0.5

b

increase to 1.3

c

remain same

d

increase to 2

✓ Correct answer: b)

increase to 1.3

Explanation

Initial pH = 1

[H⁺] = 10⁻¹ M

After adding equal volume of water → concentration becomes half

New [H⁺] = (10⁻¹) / 2

pH = −log(10⁻¹ / 2)

pH = −[log(10⁻¹) − log(2)]

pH = −[−1 − 0.30]

pH = 1 + 0.30

pH = 1.30

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