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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ie105

$100 mL$ of $0.3 M$ $HCl$ is mixed with $200 mL$ of $0.1 M$ $NaOH$ at 298 K. Use $lo g 3 = 0.477$ . Select the correct statement(s).

AThe pH of the solution is 1.48.
BThe pH of the solution is 0.52.
CThe resulting solution is acidic.
D $[OH X^{-}] = 3.0 \times 1 0^{- 13} M$ .

Answer: A, C, D

H X^{+}

= 30

mmol,

OH X^{-}

= 20

mmol; excess

H X^{+}

= 10

mmol in

300 mL

,

[H X^{+}] = 1/30 = 0.0333 M

.

pH = lo g 30 = 1 + 0.477 = 1.48

.

[OH X^{-}] = 1 0^{- 14} /0.0333 = 3.0 \times 1 0^{- 13} M

. The value 0.52 is wrong.

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