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What is the pH of a 0.0015 M solution of ${HNO}_{3}$ ?

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2.82

1.41

5.65

11.18

answer is B.

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Detailed Solution

$[{HNO}_{3}] = 0.0015 h = 1.5 \times 10^{- 3} M$

$[H^{+}] = 1.5 \times 10^{- 3} M$

$\begin{array}{l} pH = - \log [H^{+}] \\ = - \log (1 .5 \times 10^{- 3}) \end{array}$

$pH = - \log_{10} 0.0015$

$\begin{array}{l} = - \log 1.5 - \log 10^{- 3} \\ = 3 - \log (15) \\ = 3 - 0.18 \end{array}$

$pH = 2.82$

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