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JEE Main levelSingle correct optionDifficulty 2 of 3ie077

$300 mL$ of $NaOH$ solution of pH 12 is mixed with $100 mL$ of $HCl$ solution of pH 2 at 298 K. The pH of the mixture is nearest to (use $lo g 5 = 0.699$ )

A $12.00$
B $7.00$
C $2.30$
D $11.70$

Answer: D

OH X^{-}

= 300 \times 0.01 = 3

mmol,

H X^{+}

= 100 \times 0.01 = 1

mmol. Excess

OH X^{-}

= 2

mmol in

400 mL

, so

[OH X^{-}] = 5 \times 1 0^{- 3} M

,

pOH = 3 - 0.699 = 2.30

and

pH = 11.70

.

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