First slide

PH of strong acids and strong bases

Question

The pH of a mixture when a 50 mL solution of pH = I is mixed with a 50 mL of pH =2 is

Moderate

A

0.56
B

1.26
C

1.76
D

2.06

Solution

$For pH = 1, [H^{+}] = 10^{- 1} M$
$For pH = 2, [H^{+}] = 10^{- 2} M$
$M_{1} V_{1} + M_{2} V_{2} = M_{R} (V_{1} + V_{2})$
$(10^{- 1} \times 50) + (10^{- 2} \times 50) = M_{R} \times 100$
$M_{R} = 5.5 \times 10^{- 2} M$
(Resultant molarity of $H^{+}$ ions)
$pH = - \log 5.5 \times 10^{- 2} = 1.26$

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