<?xml
version="1.0" encoding="utf-8"?>
<rss version="2.0" 
	xmlns:dc="http://purl.org/dc/elements/1.1/"
	xmlns:content="http://purl.org/rss/1.0/modules/content/"
	xmlns:atom="http://www.w3.org/2005/Atom"
>

<channel xml:lang="es">
	<title>EjerciciosFyQ</title>
	<link>https://ejercicios-fyq.com/</link>
	<description>Ejercicios Resueltos, Situaciones de aprendizaje y V&#205;DEOS de F&#237;sica y Qu&#237;mica para Secundaria y Bachillerato</description>
	<language>es</language>
	<generator>SPIP - www.spip.net</generator>
	<atom:link href="https://ejercicios-fyq.com/spip.php?id_rubrique=286&amp;page=backend" rel="self" type="application/rss+xml" />

	<image>
		<title>EjerciciosFyQ</title>
		<url>https://ejercicios-fyq.com/local/cache-vignettes/L144xH25/siteon0-da713.png?1758361862</url>
		<link>https://ejercicios-fyq.com/</link>
		<height>25</height>
		<width>144</width>
	</image>



<item xml:lang="es">
		<title>pH and pOH of an acetic acid solution (8401)</title>
		<link>https://ejercicios-fyq.com/pH-and-pOH-of-an-acetic-acid-solution-8401</link>
		<guid isPermaLink="true">https://ejercicios-fyq.com/pH-and-pOH-of-an-acetic-acid-solution-8401</guid>
		<dc:date>2025-02-17T05:12:03Z</dc:date>
		<dc:format>text/html</dc:format>
		<dc:language>es</dc:language>
		<dc:creator>F_y_Q</dc:creator>


		<dc:subject>pH</dc:subject>
		<dc:subject>pOH</dc:subject>
		<dc:subject>SOLVED</dc:subject>
		<dc:subject>Acids and bases</dc:subject>
		<dc:subject>Acidity constant</dc:subject>
		<dc:subject>Ionization</dc:subject>

		<description>
&lt;p&gt;Calculate the pH and pOH of a 0.001 mol/L acetic acid solution, given its ionization constant&lt;/p&gt;


-
&lt;a href="https://ejercicios-fyq.com/Proton-transfer-reactions" rel="directory"&gt;Proton transfer reactions&lt;/a&gt;

/ 
&lt;a href="https://ejercicios-fyq.com/mot47" rel="tag"&gt;pH&lt;/a&gt;, 
&lt;a href="https://ejercicios-fyq.com/pOH" rel="tag"&gt;pOH&lt;/a&gt;, 
&lt;a href="https://ejercicios-fyq.com/SOLVED" rel="tag"&gt;SOLVED&lt;/a&gt;, 
&lt;a href="https://ejercicios-fyq.com/Acids-and-bases" rel="tag"&gt;Acids and bases&lt;/a&gt;, 
&lt;a href="https://ejercicios-fyq.com/Acidity-constant" rel="tag"&gt;Acidity constant&lt;/a&gt;, 
&lt;a href="https://ejercicios-fyq.com/Ionization" rel="tag"&gt;Ionization&lt;/a&gt;

		</description>


 <content:encoded>&lt;div class='rss_texte'&gt;&lt;p&gt;Calculate the pH and pOH of a 0.001 mol/L acetic acid solution, given its ionization constant &lt;img src='https://ejercicios-fyq.com/local/cache-vignettes/L150xH25/fd214642ab83ab38aeb1be474b746f74-d17f5.png?1739769365' style='vertical-align:middle;' width='150' height='25' alt=&#034;(\ce{K_a} = 1.8\cdot 10^{-5})&#034; title=&#034;(\ce{K_a} = 1.8\cdot 10^{-5})&#034; /&gt;&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		&lt;hr /&gt;
		&lt;div &lt;div class='rss_ps'&gt;&lt;p&gt;From the ionization constant value, you can calculate the concentration of ions at equilibrium: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/19957f50347822abf30965a71d13cbc4.png' style=&#034;vertical-align:middle;&#034; width=&#034;456&#034; height=&#034;24&#034; alt=&#034;\color[RGB]{2,112,20}{\textbf{\ce{CH3COOH + H2O &lt;=&gt; CH3COO^- + H3O^+}}}&#034; title=&#034;\color[RGB]{2,112,20}{\textbf{\ce{CH3COOH + H2O &lt;=&gt; CH3COO^- + H3O^+}}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; The acidity constant follows the equation: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/5bc621aefe1815b60148b56567559ae0.png' style=&#034;vertical-align:middle;&#034; width=&#034;268&#034; height=&#034;58&#034; alt=&#034;\color[RGB]{2,112,20}{\bm{K_a = \frac{[\ce{CH3COO^-}][\ce{H3O^+}]}{[\ce{CH3COOH}]}}}&#034; title=&#034;\color[RGB]{2,112,20}{\bm{K_a = \frac{[\ce{CH3COO^-}][\ce{H3O^+}]}{[\ce{CH3COOH}]}}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; The equilibrium concentrations, based on the initial concentration, are as follows: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/3f349971f491fbb40599eb2ff81d59b4.png' style=&#034;vertical-align:middle;&#034; width=&#034;236&#034; height=&#034;23&#034; alt=&#034;[\ce{CH3COOH}] = \color[RGB]{0,112,192}{\bm{c_0(1-\alpha)}}&#034; title=&#034;[\ce{CH3COOH}] = \color[RGB]{0,112,192}{\bm{c_0(1-\alpha)}}&#034; /&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/a589dfb261346052cd699ddb87bb7114.png' style=&#034;vertical-align:middle;&#034; width=&#034;268&#034; height=&#034;25&#034; alt=&#034;[\ce{CH3COO^-}] = [\ce{H3O^+}] = \color[RGB]{0,112,192}{\bm{c_0\alpha}}&#034; title=&#034;[\ce{CH3COO^-}] = [\ce{H3O^+}] = \color[RGB]{0,112,192}{\bm{c_0\alpha}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; Substitute these concentrations into the equilibrium constant equation to get: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/c7430fb32fb1e05195b378ddd8c0420f.png' style=&#034;vertical-align:middle;&#034; width=&#034;237&#034; height=&#034;53&#034; alt=&#034;K_a = \frac{10^{-3}\alpha^2}{(1-\alpha)} = 1.8\cdot 10^{-5}&#034; title=&#034;K_a = \frac{10^{-3}\alpha^2}{(1-\alpha)} = 1.8\cdot 10^{-5}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; You can do one of two things: solve the quadratic equation or assume that, given the small value of the constant, the denominator is very close to one. Here's how to do each. &lt;br/&gt; &lt;br/&gt; &lt;u&gt;Solving the quadratic equation&lt;/u&gt;: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/976c1976a4112ce6b553753274e356d2.png' style=&#034;vertical-align:middle;&#034; width=&#034;334&#034; height=&#034;21&#034; alt=&#034;10^{-3}\alpha^2 + 1.8\cdot 10^{-5}\alpha - 1.8\cdot 10^{-5} = 0&#034; title=&#034;10^{-3}\alpha^2 + 1.8\cdot 10^{-5}\alpha - 1.8\cdot 10^{-5} = 0&#034; /&gt; &lt;br/&gt; &lt;br/&gt; You get the value &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/e670c22a3128cf7527c3e3692ac8acaa.png' style=&#034;vertical-align:middle;&#034; width=&#034;100&#034; height=&#034;15&#034; alt=&#034;\color[RGB]{0,112,192}{\bm{\alpha = 0.125}}&#034; title=&#034;\color[RGB]{0,112,192}{\bm{\alpha = 0.125}}&#034; /&gt;. The other value obtained is negative and lacks chemical significance. &lt;br/&gt; &lt;br/&gt; &lt;u&gt;Approximating the denominator as one&lt;/u&gt;: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/c1266930488bb4f9dbedf8c40a75c325.png' style=&#034;vertical-align:middle;&#034; width=&#034;234&#034; height=&#034;52&#034; alt=&#034;\alpha = \sqrt{\frac{1.8\cdot 10^{-5}}{10^{-3}}} = \color[RGB]{0,112,192}{\bf 0.134}&#034; title=&#034;\alpha = \sqrt{\frac{1.8\cdot 10^{-5}}{10^{-3}}} = \color[RGB]{0,112,192}{\bf 0.134}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; Since the acid concentration is low, it's not a good idea to use the approximation, and it is preferable to solve the quadratic equation to avoid an error of over &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/72766c9719961477a8964fa427ba0c20.png' style=&#034;vertical-align:middle;&#034; width=&#034;30&#034; height=&#034;19&#034; alt=&#034;7\ \%&#034; title=&#034;7\ \%&#034; /&gt;. &lt;br/&gt; &lt;br/&gt; Taking the first calculated dissociation degree value, you can calculate the equilibrium hydronium concentration: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/cf5fb582834f960381b70c8a15f3ec50.png' style=&#034;vertical-align:middle;&#034; width=&#034;412&#034; height=&#034;25&#034; alt=&#034;[\ce{H3O^+}]_{\ce{eq}} = 10^{-3}\ M\cdot 0.125 = \color[RGB]{0,112,192}{\bm{1.25\cdot 10^{-4}\ M}}&#034; title=&#034;[\ce{H3O^+}]_{\ce{eq}} = 10^{-3}\ M\cdot 0.125 = \color[RGB]{0,112,192}{\bm{1.25\cdot 10^{-4}\ M}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; The pH calculation is straightforward: &lt;br/&gt; &lt;br/&gt; &lt;p class=&#034;spip&#034; style=&#034;text-align: center;&#034;&gt;&lt;img src='https://ejercicios-fyq.com/local/cache-TeX/6660cabd0081e1cd85b676f17e2a42bb.png' style=&#034;vertical-align:middle;&#034; width=&#034;416&#034; height=&#034;27&#034; alt=&#034;pH = - log [\ce{H3O^+}] = -log\ 1.25\cdot 10^{-4} = \fbox{\color[RGB]{192,0,0}{\bf 3.9}}&#034; title=&#034;pH = - log [\ce{H3O^+}] = -log\ 1.25\cdot 10^{-4} = \fbox{\color[RGB]{192,0,0}{\bf 3.9}}&#034; /&gt;&lt;/p&gt; &lt;br/&gt; You can calculate the pOH considering their relationship: &lt;br/&gt; &lt;br/&gt; &lt;p class=&#034;spip&#034; style=&#034;text-align: center;&#034;&gt;&lt;img src='https://ejercicios-fyq.com/local/cache-TeX/2c98cbf7be3f5b0d6a28b5ad63dbd122.png' style=&#034;vertical-align:middle;&#034; width=&#034;566&#034; height=&#034;27&#034; alt=&#034;{\color[RGB]{2,112,20}{\bf pH + pOH = 14}}\ \to\ pOH = 14 - pH = (14 - 3.9) = \fbox{\color[RGB]{192,0,0}{\bf 10.1}}&#034; title=&#034;{\color[RGB]{2,112,20}{\bf pH + pOH = 14}}\ \to\ pOH = 14 - pH = (14 - 3.9) = \fbox{\color[RGB]{192,0,0}{\bf 10.1}}&#034; /&gt;&lt;/p&gt;
&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		
		</content:encoded>


		

	</item>



</channel>

</rss>
