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<h1>Unit 4 Approxmation Rule Walkthrough</h1>
<div class="walk">
<p class="quest">
Initially 4.00 mol of carbon monoxide and 3.00 mol of bromine gas are
placed into a  2.5 L container, what is the concentration of the
reactants and Carbonyl bromide at equilibrium?
</p>
<p class="quest" id="inputText">K<sub>eq</sub> = 4.5x10<sup>-5</sup></p>
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<div class="answer">
<div class="wrapper">
<div class="first">
<p id="q1" class="hl2">1. Find chemical equation</p>
<p id="q2" class="hide">2. Balance chemical equation</p>
<p id="q3" class="hide">3. Make ICE table</p>
<p id="q4" class="hide">4. Fill in ICE table</p>
<p id="q5" class="hide">
5. Is this question an approximation rule (more than 1000x
difference)?
</p>
<p id="q6" class="hide">
6. Write keq equation with products and reactants
</p>
<p id="q7" class="hide">
7. Cross out x for reactants because we can assume that the
initial concentration of the reactants will be very similar to
the concentration at equilibrium
</p>
<p id="q8" class="hide">8. Solve for x</p>
<p id="q9" class="hide">
9. Use x to solve for each chemicals equilibrium concentration
</p>
</div>
<div class="second">
<p id="w1" class="hl">
CO<sub>(g)</sub> + Br<sub>2(g)</sub> ⇌ COBr<sub>2(g)</sub>
</p>
<p id="w2" class="hide">
1CO<sub>(g)</sub> + 1Br<sub>2(g)</sub> ⇌ 1COBr<sub>2(g)</sub>
</p>
<div id="w3" class="hide">
<table class="ice">
<tr>
<td></td>
<td>CO(g)</td>
<td>Br2(g)</td>
<td>COBr2(g)</td>
</tr>
<tr>
<td>I</td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>C</td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>E</td>
<td></td>
<td></td>
<td></td>
</tr>
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<td></td>
<td>CO(g)</td>
<td>Br2(g)</td>
<td>COBr2(g)</td>
</tr>
<tr>
<td>I</td>
<td>1.60 mol/L</td>
<td>1.20 mol/L</td>
<td>0</td>
</tr>
<tr>
<td>C</td>
<td>-x</td>
<td>-x</td>
<td>+x</td>
</tr>
<tr>
<td>E</td>
<td>1.60 -x</td>
<td>1.20 -x</td>
<td>x</td>
</tr>
</table>
</div>
<p id="w5" class="hide">
1.6 / 4.5x10<sup>-5</sup> = 35555.555... ∴ Yes it is more than
1000x difference
</p>
<div id="w6" class="hide">
<p>K<sub>eq</sub> = [Products] / [Reactants]</p>
<p>
K<sub>eq</sub> = [COBr<sub>2(g)</sub>]<sup>1</sup> /
[CO<sub>(g)</sub>]<sup>1</sup>[Br<sub>2(g)</sub>]<sup>1</sup>
</p>
</div>
<p id="w7" class="hide">
4.5x10<sup>-5</sup> = [x]<sup>1</sup> / [1.60
-x]<sup>1</sup>[1.20 -x]<sup>1</sup>
</p>
<div id="w8" class="hide">
<p>4.5x10<sup>-5</sup> = x / (1.60)(1.20)</p>
<p>4.5x10<sup>-5</sup> = x / 1.92</p>
<p>(4.5x10<sup>-5</sup>)(1.92) = x</p>
<p>x = 8.64x10<sup>-5</sup></p>
</div>
<div id="w9" class="hide">
<div class="wrapper">
<div class="first">
<p>[COBr<sub>2(g)</sub>] = x</p>
<p>[COBr<sub>2(g)</sub>] = 8.64x10<sup>-5</sup> mol/L</p>
<p>[Br<sub>2(g)</sub> ] = 1.20 - x</p>
<p>[Br<sub>2(g)</sub> ] = 1.20 -8.64x10<sup>-5</sup></p>
<p>[Br<sub>2(g)</sub> ] = 1.19991 mol/L</p>
<p>[Br<sub>2(g)</sub> ] = 1.20 mol/L</p>
</div>
<div class="second">
<p>[CO<sub>(g)</sub> ] = 1.60 - x</p>
<p>[CO<sub>(g)</sub> ] = 1.60 -8.64x10<sup>-5</sup></p>
<p>[CO<sub>(g)</sub> ] = 1.59991 mol/L</p>
<p>[CO<sub>(g)</sub> ] = 1.60 mol/L</p>
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