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	<title>EjerciciosFyQ</title>
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		<title>Application of Graham's law: hydrogen diffusion rate (8308)</title>
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		<dc:date>2024-09-12T04:06:10Z</dc:date>
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		<dc:subject>Gas laws</dc:subject>
		<dc:subject>Graham's law</dc:subject>
		<dc:subject>SOLVED</dc:subject>

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&lt;p&gt;Determine the diffusion rate of hydrogen, knowing that the diffusion rate of oxygen is 2 minutes.&lt;/p&gt;


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 <content:encoded>&lt;div class='rss_texte'&gt;&lt;p&gt;Determine the diffusion rate of hydrogen, knowing that the diffusion rate of oxygen is 2 minutes.&lt;/p&gt;&lt;/div&gt;
		&lt;hr /&gt;
		&lt;div &lt;div class='rss_ps'&gt;&lt;p&gt;Graham's law relates the diffusion rates of two gases to their molecular masses. If the gases are A and B, the relationship is: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/4cf3fe04d22fc72e2d726e95ac2bdc33.png' style=&#034;vertical-align:middle;&#034; width=&#034;126&#034; height=&#034;65&#034; alt=&#034;\color[RGB]{2,112,20}{\bm{\frac{v_A}{v_B} = \sqrt{\frac{M_B}{M_A}}}}&#034; title=&#034;\color[RGB]{2,112,20}{\bm{\frac{v_A}{v_B} = \sqrt{\frac{M_B}{M_A}}}}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; For hydrogen and oxygen, both being diatomic, the molecular masses are: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/fa228ad48fcef891303029aae15bb4aa.png' style=&#034;vertical-align:middle;&#034; width=&#034;179&#034; height=&#034;52&#034; alt=&#034;\left \ce{H2}: 2\cdot 1 = {\color[RGB]{0,112,192}{\bf 2\ u}} \atop \ce{O2}: 2\cdot 16 = {\color[RGB]{0,112,192}{\bf 32\ u}} \right \}&#034; title=&#034;\left \ce{H2}: 2\cdot 1 = {\color[RGB]{0,112,192}{\bf 2\ u}} \atop \ce{O2}: 2\cdot 16 = {\color[RGB]{0,112,192}{\bf 32\ u}} \right \}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; The relationship between their diffusion rates will be: &lt;br/&gt; &lt;br/&gt; &lt;img src='https://ejercicios-fyq.com/local/cache-TeX/d7383bc419efafca3c82287879aa12d2.png' style=&#034;vertical-align:middle;&#034; width=&#034;236&#034; height=&#034;55&#034; alt=&#034;\frac{v_{\ce{H_2}}}{v_{\ce{O_2}}}= \sqrt{\frac{32\ \cancel{u}}{2\ \cancel{u}}} = \sqrt{16} = \color[RGB]{0,112,192}{\bf 4}&#034; title=&#034;\frac{v_{\ce{H_2}}}{v_{\ce{O_2}}}= \sqrt{\frac{32\ \cancel{u}}{2\ \cancel{u}}} = \sqrt{16} = \color[RGB]{0,112,192}{\bf 4}&#034; /&gt; &lt;br/&gt; &lt;br/&gt; This means hydrogen diffuses four times faster than oxygen, so &lt;b&gt;the diffusion rate of hydrogen will be 0.5 minutes&lt;/b&gt;, or 30 seconds&lt;/b&gt;.&lt;/math&gt;&lt;/p&gt;&lt;/div&gt;
		
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