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Assume that the change in concentration of $\mathrm{COCl}_{2}$ is small enough to be neglected in the following problem.(a) Calculate the equilibrium concentration of all species in an equilibrium mixture that results from thedecomposition of $\mathrm{COCl}_{2}$ with an initial concentration of 0.3166 $\mathrm{M} .$$\operatorname{COCl}_{2}(g) \rightleftharpoons \mathrm{CO}(g)+\mathrm{Cl}_{2}(g) \quad K_{c}=2.2 \times 10^{-10}$(b) Show that the change is small enough to be neglected.

a) $8.3 \times 10^{-6} M$, $8.3 \times 10^{-6} M$ and $3.2 \times 10^{-1} M$b) $2.6 \times 10^{-5} \%$

Chemistry 102

Chapter 13

Fundamental Equilibrium Concepts

Chemical Equilibrium

Aqueous Equilibria

Drexel University

University of Maryland - University College

University of Kentucky

Lectures

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In chemistry, an ion is an atom or molecule that has a non-zero net electric charge. The name was coined by John Dalton for ions in 1808, and later expanded to include molecules in 1834.

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In thermodynamics, a state of thermodynamic equilibrium is a state in which a system is in thermal equilibrium with its surroundings. A system in thermodynamic equilibrium is in thermal equilibrium, mechanical equilibrium, electrical equilibrium, and chemical equilibrium. A system is in equilibrium when it is in thermal equilibrium with its surroundings.

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Okay. This question begins by telling us to assume that the change in concentration of Seo sealed too small enough to be neglected in the following problem. And it says that asked us to calculate the equally room concentration of all species in an equilibrium mixture that results from the decomposition of CEO Seal to with an initial concentration of 0.3166 So here's that reaction. CEO Seo to decomposing to CEO Seo to equal room concept tells us it's 2.2 times 10. The negative 10th tells the initial concentration of COC L two is 20.3166 with none of the products. And then it tells us to assume that the change in Seo Seal to is negligible. So for the equilibrium concentration, it's not 0.3166 minus X. It's stress 0.3166 But there is, of course, a change for CEO and see how to sew those be represented by X. So we said the equilibrium constant equal to the concentration of products over reacting ts and we plug in our values. We have X squared since both CEO and seal to our x two by two by 20.3 16 six. Um, therefore, X equals 8.3 times 10 to the negative sex. And that is equal to the concentration of CEO, which is equal to the concentration of seal, too. So and I should write the units. This is Moeller. So 8.3 times 10 to the sixth. Moeller is the concentration CEO and sealed, too, and we're assuming that this was negligible. So the concentration is 0.3166 for Seo Seal, too. Then party asks us to show that the change is small enough to be neglected so we can do this by simply taking the change 8.3 times. 10 Negative. Six. Figure out what percentage of the initial concentration of Seo seal to that is. If you divide a 0.3 times 10 negative six by 0.3166 and convert 2%. You would see that as 0.2 six percent, so it's a very, very small percentage of the initial, so we're good. That's why it's ah, it's appropriate to assume that that change is negligible.

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