12 Consider the following chemical reaction soCl2g SO2 g Cl

12.) Consider the following chemical reaction: so,Cl2(g) SO2 (g) + Cl2(g) Ke-2.99% 10-7 (at 227°C) If the reaction mixture initially contains 0.175 M SO2Cl2, what is the equilibrium concentration of each substance at 227 °C?

Solution

SO2Cl2 -------> SO2 + Cl2

Intial concentration 0.175 M -- --

Change in concentration -x +x +x

Eq concentration 0.175 -x x x

Kc = [x][x] / [0.175-x] => 2.99 * 10^-7

0.175 >>>> x  

[x]² = 0.175 *2.99 * 10^-7

[x] = 2.287 * 10^-4 M

At equilibrium [SO₂Cl₂] = 0.175 - 2.287 * 10^-4 => 0.1748 M

At equilibrium [SO₂] = 2.287 * 10^-4 M

At equilibrium [Cl₂] = 2.287 * 10^-4 M