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	<title>EjerciciosFyQ</title>
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	<description>Ejercicios Resueltos, Situaciones de aprendizaje y V&#205;DEOS de F&#237;sica y Qu&#237;mica para Secundaria y Bachillerato</description>
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<item xml:lang="es">
		<title>Molarity from % (m/V) concentration (8303)</title>
		<link>https://ejercicios-fyq.com/Molarity-from-m-V-concentration-8303</link>
		<guid isPermaLink="true">https://ejercicios-fyq.com/Molarity-from-m-V-concentration-8303</guid>
		<dc:date>2024-09-08T03:42:27Z</dc:date>
		<dc:format>text/html</dc:format>
		<dc:language>es</dc:language>
		<dc:creator>F_y_Q</dc:creator>


		<dc:subject>Concentration</dc:subject>
		<dc:subject>Molarity</dc:subject>
		<dc:subject>Percentage (mass/volume)</dc:subject>
		<dc:subject>Solutions</dc:subject>
		<dc:subject>SOLVED</dc:subject>

		<description>
&lt;p&gt;Calculate the molarity of a sulfurous acid solution whose concentration is (m/V).&lt;/p&gt;


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 <content:encoded>&lt;div class='rss_texte'&gt;&lt;p&gt;Calculate the molarity of a sulfurous acid solution whose concentration is &lt;img src='https://ejercicios-fyq.com/local/cache-vignettes/L30xH19/86ee91cf864173a2378fbdeb1f3d916e-a72b9.png?1732971539' style='vertical-align:middle;' width='30' height='19' alt=&#034;8\ \%&#034; title=&#034;8\ \%&#034; /&gt; (m/V).&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		&lt;hr /&gt;
		&lt;div &lt;div class='rss_ps'&gt;&lt;p&gt;First, set a quantity of solution as the basis for calculation. Consider 100 mL of solution, which gives you 8 g of solute, &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/ebddc00967ec960653ac0c88f6e17e8b.png' style=&#034;vertical-align:middle;&#034; width=&#034;46&#034; height=&#034;16&#034; alt=&#034;\ce{H2SO3}&#034; title=&#034;\ce{H2SO3}&#034; /&gt;, (these amounts are the &#8220;translation&#8221; of &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/86ee91cf864173a2378fbdeb1f3d916e.png' style=&#034;vertical-align:middle;&#034; width=&#034;30&#034; height=&#034;19&#034; alt=&#034;8\ \%&#034; title=&#034;8\ \%&#034; /&gt; m/V). &lt;br/&gt; &lt;br/&gt; The moles corresponding to that mass of solute are obtained from the molecular mass of the acid: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/cebd2432beffb5b61436a43762fc2357.png' style=&#034;vertical-align:middle;&#034; width=&#034;384&#034; height=&#034;44&#034; alt=&#034;M_{\ce{H2SO3}} = 2\cdot 1 + 1\cdot 32 + 3\cdot 16 = \color[RGB]{0,112,192}{\bm{82\ \frac{g}{mol}}}&#034; title=&#034;M_{\ce{H2SO3}} = 2\cdot 1 + 1\cdot 32 + 3\cdot 16 = \color[RGB]{0,112,192}{\bm{82\ \frac{g}{mol}}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; Calculate the moles equivalent to the mass of solute: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/2474f672e60f0538a05a977d56c8f8dc.png' style=&#034;vertical-align:middle;&#034; width=&#034;353&#034; height=&#034;51&#034; alt=&#034;8\ \cancel{g}\ \ce{H2SO3}\cdot \frac{1\ mol}{82\ \cancel{g}} = \color[RGB]{0,112,192}{\bm{9.76\cdot 10^{-2}\ mol}}&#034; title=&#034;8\ \cancel{g}\ \ce{H2SO3}\cdot \frac{1\ mol}{82\ \cancel{g}} = \color[RGB]{0,112,192}{\bm{9.76\cdot 10^{-2}\ mol}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; The molarity is the ratio between the moles of solute and the volume of the solution, expressed in liters, i.e., 0.1 L (because you considered 100 mL at the beginning): &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/30c4ea39edaee0d5ecc8e65e6338aed1.png' style=&#034;vertical-align:middle;&#034; width=&#034;318&#034; height=&#034;48&#034; alt=&#034;M = \frac{9.76\cdot 10^{-2}\ mol}{0.1\ L} = \fbox{\color[RGB]{192,0,0}{\bm{0.98\ \frac{mol}{L}}}}&#034; title=&#034;M = \frac{9.76\cdot 10^{-2}\ mol}{0.1\ L} = \fbox{\color[RGB]{192,0,0}{\bm{0.98\ \frac{mol}{L}}}}&#034; /&gt;&lt;/p&gt;
&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		
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<item xml:lang="es">
		<title>Molar fraction and molality of a solution (8298)</title>
		<link>https://ejercicios-fyq.com/Molar-fraction-and-molality-of-a-solution-8298</link>
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		<dc:date>2024-09-03T07:07:35Z</dc:date>
		<dc:format>text/html</dc:format>
		<dc:language>es</dc:language>
		<dc:creator>F_y_Q</dc:creator>


		<dc:subject>Concentration</dc:subject>
		<dc:subject>Molar fraction</dc:subject>
		<dc:subject>Molality</dc:subject>
		<dc:subject>SOLVED</dc:subject>

		<description>
&lt;p&gt;A solution contains by mass of HCl: &lt;br class='autobr' /&gt;
a) Calculate the molar fraction of HCl. &lt;br class='autobr' /&gt;
b) Calculate the molality of HCl in the solution.&lt;/p&gt;


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		</description>


 <content:encoded>&lt;div class='rss_texte'&gt;&lt;p&gt;A solution contains &lt;img src='https://ejercicios-fyq.com/local/cache-vignettes/L41xH19/2a4c30361eca926f0aaeb2da13868197-4e2d5.png?1733054802' style='vertical-align:middle;' width='41' height='19' alt=&#034;36\ \%&#034; title=&#034;36\ \%&#034; /&gt; by mass of HCl:&lt;/p&gt;
&lt;p&gt;a) Calculate the molar fraction of HCl.&lt;/p&gt;
&lt;p&gt;b) Calculate the molality of HCl in the solution.&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		&lt;hr /&gt;
		&lt;div &lt;div class='rss_ps'&gt;&lt;p&gt;You can fix an amount of 100 g of solution to solve the problem because, in those 100 g of solution, there will be 36 g of HCl (which is what the percentage means) and 64 g of water. Convert both quantities to moles: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/a49a404ba95e3063c6c49ca14f62bc30.png' style=&#034;vertical-align:middle;&#034; width=&#034;340&#034; height=&#034;51&#034; alt=&#034;36\ \cancel{g}\ \ce{HCl}\cdot \frac{1\ mol}{36.5\ \cancel{g}}= \color[RGB]{0,112,192}{\textbf{0.986\ \ce{mol\ HCl}}}&#034; title=&#034;36\ \cancel{g}\ \ce{HCl}\cdot \frac{1\ mol}{36.5\ \cancel{g}}= \color[RGB]{0,112,192}{\textbf{0.986\ \ce{mol\ HCl}}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/c3f6a1771f1324c8967fd65cf19a949a.png' style=&#034;vertical-align:middle;&#034; width=&#034;344&#034; height=&#034;51&#034; alt=&#034;64\ \cancel{g}\ \ce{H2O}\cdot \frac{1\ mol}{18\ \cancel{g}}= \color[RGB]{0,112,192}{\textbf{3.556\ \ce{mol\ H2O}}}&#034; title=&#034;64\ \cancel{g}\ \ce{H2O}\cdot \frac{1\ mol}{18\ \cancel{g}}= \color[RGB]{0,112,192}{\textbf{3.556\ \ce{mol\ H2O}}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; a) Calculate the molar fraction: &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/57a80ae804207b5ac9dc81a36c1a73f4.png' style=&#034;vertical-align:middle;&#034; width=&#034;493&#034; height=&#034;53&#034; alt=&#034;x_{\ce{HCl}}= \frac{n_{\ce{HCl}}}{n_{\ce{HCl}} + n_{\ce{H2O}}} = \frac{0.986\ \cancel{mol}}{(0.986 + 3.556)\ \cancel{mol}} = \fbox{\color[RGB]{192,0,0}{\bf 0.217}}&#034; title=&#034;x_{\ce{HCl}}= \frac{n_{\ce{HCl}}}{n_{\ce{HCl}} + n_{\ce{H2O}}} = \frac{0.986\ \cancel{mol}}{(0.986 + 3.556)\ \cancel{mol}} = \fbox{\color[RGB]{192,0,0}{\bf 0.217}}&#034; /&gt;&lt;/p&gt; &lt;br/&gt; b) Calculate the molality. This is defined as the ratio between the moles of solute and the mass of solvent, expressed in kilograms: &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/697a9f7f7aecfa89964b16925166bec2.png' style=&#034;vertical-align:middle;&#034; width=&#034;421&#034; height=&#034;50&#034; alt=&#034;m = \frac{n_{\ce{HCl}}}{m_{\ce{H2O}}\ (kg)} = \frac{0.986\ mol}{6.4\cdot 10^{-2}\ kg}= \fbox{\color[RGB]{192,0,0}{\bm{15.4\ \frac{mol}{kg}}}}&#034; title=&#034;m = \frac{n_{\ce{HCl}}}{m_{\ce{H2O}}\ (kg)} = \frac{0.986\ mol}{6.4\cdot 10^{-2}\ kg}= \fbox{\color[RGB]{192,0,0}{\bm{15.4\ \frac{mol}{kg}}}}&#034; /&gt;&lt;/p&gt;
&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		
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<item xml:lang="es">
		<title>Mass of a volume of ethanol, expressed by pounds (4883)</title>
		<link>https://ejercicios-fyq.com/Mass-of-a-volume-of-ethanol-expressed-by-pounds-4883</link>
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		<dc:date>2019-01-03T08:28:18Z</dc:date>
		<dc:format>text/html</dc:format>
		<dc:language>es</dc:language>
		<dc:creator>F_y_Q</dc:creator>


		<dc:subject>Concentration</dc:subject>
		<dc:subject>Units conversion</dc:subject>
		<dc:subject>SOLVED</dc:subject>

		<description>
&lt;p&gt;The density of ethanol is 0.79 g/mL. Calculate the mass, expressed in pounds, of 17.4 mL of ethanol, knowing that one pound is equal to 0.45 kg. Express the result using scientific notation.&lt;/p&gt;


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		</description>


 <content:encoded>&lt;div class='rss_texte'&gt;&lt;p&gt;The density of ethanol is 0.79 g/mL. Calculate the mass, expressed in pounds, of 17.4 mL of ethanol, knowing that one pound is equal to 0.45 kg. Express the result using scientific notation.&lt;/p&gt;&lt;/div&gt;
		&lt;hr /&gt;
		&lt;div &lt;div class='rss_ps'&gt;&lt;p&gt;We will solve this exercise in two steps. First, we will use the definition of density to calculate the mass of ethanol. Second, we will convert the units. &lt;br/&gt; &lt;br/&gt; 1. Calculate the mass of ethanol: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/6d800afacacbd8edf9ada35bbb85865b.png' style=&#034;vertical-align:middle;&#034; width=&#034;584&#034; height=&#034;42&#034; alt=&#034;d = \frac{m}{V}\ \to\ {\color[RGB]{2,112,20}{\bm{m = d\cdot V}}}\ \to\ m = 0.79\ \frac{g}{\cancel{mL}}\cdot 17.4\ \cancel{mL} = \color[RGB]{0,112,192}{\bf 13.75\ g}&#034; title=&#034;d = \frac{m}{V}\ \to\ {\color[RGB]{2,112,20}{\bm{m = d\cdot V}}}\ \to\ m = 0.79\ \frac{g}{\cancel{mL}}\cdot 17.4\ \cancel{mL} = \color[RGB]{0,112,192}{\bf 13.75\ g}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; 2. Convert the mass to pounds: &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/79ead6abd97a6c6ae1780f372cf14112.png' style=&#034;vertical-align:middle;&#034; width=&#034;393&#034; height=&#034;59&#034; alt=&#034;13.75\ \cancel{g}\cdot \frac{1\ \cancel{kg}}{10^3\ \cancel{g}}\cdot \frac{1\ lb}{0.45\ \cancel{kg}} = \fbox{\color[RGB]{192,0,0}{\bm{3.06\cdot 10^{-2}\ lb}}}&#034; title=&#034;13.75\ \cancel{g}\cdot \frac{1\ \cancel{kg}}{10^3\ \cancel{g}}\cdot \frac{1\ lb}{0.45\ \cancel{kg}} = \fbox{\color[RGB]{192,0,0}{\bm{3.06\cdot 10^{-2}\ lb}}}&#034; /&gt;&lt;/p&gt;
&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		
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