Question

= Objective Knowledge Check Question 12 Suppose a 250 ml flask is filled with 1.6 mol of Bry, 1.7 mol of Oct, and 1.0 mol of BrCl. The following reaction becomes possible: Br2(8) +OC1,() - BrOCI(g) +BrCl(g) The equilibrium constant K for this reaction is 2.54 at the temperature of the flask. Calculate the equilibrium molarity of Brz. Round your answer to two decimal places. OM X 5 ?

Answer 1

Solution i- given reaction Brzg) + Ocezg) = Proceg) + Brce(g) giver mole of Br2 = 1.6 mal Olls = 1.7 mal Brel = 1.0 mal volume of given flaske D = 0.25 litre. (given) Equilibrium constant K= 2.54 given mole We know that - Concentration = Malarity = M = = giver male relasity = litres secution concentration the initial First we have to find out 0+ B2 , Ос, ард Вvto. 7 1.6 mol = 6.4 Br. 0.25 litre [[Bra] = 6.4m 1 0.25 litre Moc2 = 1.7 mel = 6.0 Teces] = 6.8M

= 4 M Brel = 1.0 mol . 0.25 lifre [Bree) = 4M Initially Borz concentration = 6.4 Malarity Ocla concentration = 6.8 Molarity Brce concenfration = 4 Molarity Boy (g) + Initial 6.4M change -RM Equilibrium (6.4-2) M Ocez g) = Brocesg) + Breeg). 6.8M o 4 M 2M to Marm, (6.8-2) M NM (4+2) M we know that x= [Broce] [Bree] [Borz] [ocla 2.54 = ( (4+1) (64-) (6.07) 7 40th² 2.54 6.4 (618-2) -2 (6.8-2)

Anta? = 2.54 43.52 -6.42 -6.Br the 4n+n?= 2.64 (43.52- 13.2n+22) 4n+h2 = 110,540B - 33.5287 + 2.5422 (2.54-1) »2-37.520n +110-5408 = 0 1.54212-37.520 0 +110.540 =0 2= 37.52B+][37.528) 2 (4) (1954) (110.5400) (2) (1054) n= 37.528+ V1408.350784-6B0.931328 - 3.08 2= 37.52B+V 727,419456 3.08 n= 37.52 B = 26.97071478 3.08 Take positive O = 37,528 +26.97071478 3.00 This value is very larger than in - 20.94m comparison of 6.41.ten

so we can not consider this value. Then Take negative- n= 37.628 - 26.9707147B 3.08 2= 3.43 M that is small and 6.D. T This value bath 6.4 = 3.43 M7 so we can take Concentration of Bara at equilibrium = (6.4– 3.43) = 2.97 M because at Equilibrium concentration of Br2 = (6.4-2) Malanity concentration or equilibriut malarity of Br2 = 2.97 M (Bon] = 2.97M ANS