The following reaction, which has Kc = 0.145 at 298 K, takes place in carbon tetrachloride solution: 2 BrCl1soln2 ∆ Br21soln2 + Cl21soln2 A measurement of the concentrations shows 3BrCl4 = 0.050 M, 3Br24 = 0.035 M, and 3Cl24 = 0.030 M. (b) Determine the equilibrium concentrations of BrCl, Br1, and Cl2.

Video transcript

Hello. In this problem we are told that tour 98 kelvin the following reaction in carbon tetrachloride solution has the equilibrium constant value of 0.17 we wanna. What are the equilibrium concentrations of flooring? Flooring and chlorine fluoride. The initial concentrations are flooring is 0.23 moller, chlorine is 0.23 moller. And chlorine fluoride is 0.38 moller. Let's begin by creating an ice table. First thing we need to do then is to write out the reaction And then we have initial change and equilibrium. Our initial concentration of point ward is 0. And that of Chlorine and Chlorine is 0.023. The change then is minus two X. So it's based on the stock geometry and we're consuming are reacting so that's minus and then plus X plus X. The equilibrium is the initial plus to change. And then we'll write our equilibrium constant expression. So this is equal to the concentration of flooring. Times concentration of pouring all over the concentration of pouring florid squared. So making use of what's in our table, you have 0.23 plus X. Times 0.23 plus X. For chlorine. And flooring about by 0.38 minus two X squared four Going fluoride. We're told this is equal to 0.17. So since we are multiplying 0.023 plus x times itself. That's the same as squaring it. So we can simplify this then if we take the square root of both sides, Doing so many at 0.023 plus x. Over 0.038 -2 x. People's spirit of 0.17 Which is equal to 0.41231. Moving what's in the denominator to the other side. And then simplifying further. And then we're gonna move everything as X together and those things without X. Together. So this was simplified to 1. X. is equal to negative 0.00733. Then we'll solve for X. And this works out to the negative 0.00402. This is what X. Is equal to make use of our ice table. We know then at equilibrium concentration of chlorine chloride Is equal to 0.03, eight -2 times X. Which is negative 0.00402. This works out today in 0.046 Molar. And from the table we see that the concentration of flooring Is equal to that of foreign at Equilibrium, which is equal to 0.023 plus x. This works out to 0.019. Fuller. So our concentration of chlorine fluoride 0.046 moller and that of Florian and chlorine are 0.019 moller at equilibrium. Thanks for watching. Hope this help