A solution has a pOH of 7.1 at 10∘C. What is the pH of the solution given that Kw=2.93×10−15 at this temperature? Remember to report your answer with the correct number of significant figures

Respuesta :

Answer : The pH of the solution is, 7.4

Explanation : Given,

pOH = 7.1

[tex]K_w=2.93\times 10^{-15}[/tex]

First we have to calculate the value of [tex]pK_w[/tex].

The expression used for the calculation of [tex]pK_w[/tex] is,

[tex]pK_w=-\log [K_w][/tex]

Now put the value of [tex]K_w[/tex] in this expression, we get:

[tex]pK_w=-\log (2.93\times 1-^{-15})[/tex]

[tex]pK_w=15-\log (2.93)[/tex]

[tex]pK_w=14.5[/tex]

Now we have to calculate the pH of the solution.

As we know that,

[tex]pH+pOH=pK_w[/tex]

Now put all the given values in this formula, we get:

[tex]pH+7.1=14.5[/tex]

[tex]pH=7.4[/tex]

Therefore, the pH of the solution is, 7.4

A solution has a pOH of 7.1  and a pH of 7.4 at 10 °C, being Kw = 2.93 × 10⁻¹⁵ at that temperature.

What is pH?

pH is a figure expressing the acidity or alkalinity of a solution on a logarithmic scale on which 7 is neutral, lower values are more acid and higher values are more alkaline.

A solution has a pOH of 7.1 at 10 °C. We can calculate the pH at this temperature using the following expression.

pH + pOH = pKw

pH = pKw - pOH

pH = -log (2.93 × 10⁻¹⁵) - 7.1 = 7.4

where,

  • pH = -log [H⁺].
  • pOH = -log [OH⁻].
  • Kw is the ionic product of water.

A solution has a pOH of 7.1  and a pH of 7.4 at 10 °C, being Kw = 2.93 × 10⁻¹⁵ at that temperature.

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