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The hydronium ion concentration in a sample of rainwater is found to be \(1.7 \times 1{0^{ - 6}}M\) times 25oC. What is the concentration of hydroxide ions in the rainwater?

Short Answer

Expert verified

concentration of hydroxide ion using ionization constant for water is

\(c\left( {O{H^ - }} \right) = 5.8 \times 1{0^{ - 9}}\frac{{mol}}{L}\)

Step by step solution

01

Given Information:

Concentration of the hydronium ions in rain water is \(1.7 \times 1{0^{ - 6}}M\)

The concentration of hydroxide ions can be found from \(pOH\) with the equation\(c\left( {O{H^ - }} \right) = {10^{ - pOH}}mol{L^{ - 1}}\).

02

To find the concentration of the hydroxide ions in the rain water:

Concentration of the hydronium ion is

\(c\left( {{H_3}{O^ + }} \right) = 1.7 \times 1{0^{ - 6}}\frac{{mol}}{L}\)

To calculate concentration of hydroxide ion using ionization constant for water

\({K_w} = c\left( {{H_3}{O^ + }} \right) \times c\left( {O{H^ - }} \right)\)

\(c\left( {O{H^ - }} \right) = \frac{{{K_w}}}{{c\left( {{H_3}{O^ + }} \right)}}\)

Ionization constant for water is\(1.0 \times 1{0^{ - 14}}\)

\(c\left( {O{H^ - }} \right) = \frac{{1.0 \times 1{0^{ - 14}}}}{{1.7 \times 1{0^{ - 6}}}}\)

\(c\left( {O{H^ - }} \right) = 5.8 \times 1{0^{ - 9}}\frac{{mol}}{L}\)

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Most popular questions from this chapter

The ionization constant for water\(({K_w})\) is\(2.9 \times 1{0^{ - 14}}\;at\;4{0^o}C\). Calculate\(\left( {{H_3}{O^ + }} \right),\left( {O{H^ - }} \right),pH,\;and\;pOH\) for pure water at \(4{0^o}C\).

Use this list of important industrial compounds (and Figure 14.8) to answer the following questions regarding: \(CaO,Ca{(OH)_2},NaOH,C{H_3}C{O_2}H,{H_2}C{O_3},HF,HN{O_2},{H_3}P{O_4},HCl,HN{O_3},{H_2}S{O_4},N{H_3}\) (a) Identify the strong Brønsted-Lowry acids and strong Brønsted-Lowry bases. (b) List those compounds in (a) that can behave as Brønsted-Lowry acids with strengths lying between those of \({H_3}{O^ + }and\;{H_2}O\). (c) List those compounds in (a) that can behave as Brønsted-Lowry bases with strengths lying between those

\({H_2}O\;and\;O{H^ - }\)

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(a) What is the pH of this buffer solution?

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(c) What is the pH of a solution that results when \({\bf{3}}.{\bf{00}}{\rm{ }}{\bf{mL}}\) of \({\bf{0}}.{\bf{034}}{\rm{ }}{\bf{M}}{\rm{ }}{\bf{HCl}}\) is added to the solution?

Question: Write equations that show \({H_2}PO_4^ - \) acting both as an acid and as a base.

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