Calculate the equilibrium concentration of NO

Question

For the following reaction NO₂(g) + SO₂(g) ⇌ NO(g) + SO₃(g) K = 4.15 at a particular temperature. If NO₂ and SO₂ had initial concentrations of 0.650 M, and NO and SO₃ had initial concentrations of 0.370

Answer 1

Set up and ICE table:

NO2 + SO2 <===> NO + SO3

0.65......0.65..............0.37......0.37.....Initial

-x..........-x..................+x.........+x........Change (since K>1, reaction will proceed to the right)

0.65-x...0.65-x.........0.37+x...).37+x...Equilibium

K = [NO][SO3]/[NO2][SO2]

4.15 = (0.37-x)²/(0.65-x)²

Solve for x and then plug into the Equilibrium line of the ICE table to find concentrations of all species.

(Too much algebra for me to do at this time of day)