Introductory Chemistry (5th Edition)

Published by Pearson
ISBN 10: 032191029X
ISBN 13: 978-0-32191-029-5

Chapter 15 - Chemical Equilibrium - Exercises - Problems - Page 567: 62

Answer

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Work Step by Step

First, write the equilibrium expression for the reaction $H_{2}(g) + I_{2}(g) \leftrightharpoons 2HI(g) $ Equilibrium constant $K_{eq} = \frac{[HI]^{2}}{[H_{2}][I_{2}]}$ Now, in the 1st row, we have to find $k_{eq}$. All the other values are given. After putting all the values in the equilibrium expression we have $K_{eq} = \frac{0.0922^{2}}{0.355\times0.388} \approx 0.0617$ In the 2nd row, we have to find $[H_{2}]$. $[H_{2}] = \frac{[HI]^{2}}{[H_{2}]k_{eq}} = \frac{0.387^{2}}{9.6\times0.0455} \approx 0.343$ In the 3rd row, we have to find $[HI]$ $[HI] = \sqrt{k_{eq}[H_{2}][I_{2}]} = \sqrt{50.2\times0.0485\times0.0468}\approx 1.067$
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