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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ie104

$100 mL$ of $HCl$ of pH 1 is mixed with $400 mL$ of $HCl$ of pH 3. Select the correct statement(s). (Use $lo g 2.08 = 0.318$ .)

AThe pH of the mixture is closer to 1 than to 3.
BThe pH of the mixture is about 1.68.
CThe total amount of $H X^{+}$ before and after mixing is the same (10.4 mmol).
DThe pH of the mixture is 2, the average of 1 and 3.

Answer: A, B, C

H X^{+}

= 100 \times 0.1 + 400 \times 1 0^{- 3} = 10.4

mmol, conserved, in

500 mL

:

[H X^{+}] = 0.0208 M

.

pH = 2 - 0.318 = 1.68

. Since the stronger acid dominates, pH is near 1, not the arithmetic mean.

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