Chemistry Equilibrium Question

Question

At a particular temperature, K = 2.74 for the reaction

SO₂(g) + NO₂(g)  SO₃(g) + NO(g)

If all four gases had initial concentrations of 1.00 M, calculate the equilibrium concentrations:

[SO₂] =  ?mol/L

[NO₂] =  ?mol/L

[SO₃] =  ?mol/L

[NO] =  ?mol/L

Answer 1

SO₂(g) + NO₂(g) <==> SO₃(g) + NO(g)

1 atm......1 atm............1 atm........1 atm.......Initial

-x...........-x...................+x.............+x............Change

1-x........1-x.................1+x............1+x..........Equilibrium

K = 2.74 = [SO₃][NO] / [SO₂][NO₂]

2.74 = (1+x)(1+x) / (1-x)(1-x)

x = 0.246

[SO2] = 1.00 - 0.246 = 0.75 M

[NO2] = 1.00 - 0.246 = 0.75 M

[SO3] = 1.00 + 0.246 = 1.25 M

[NO] = 1.00 + 0.246 = 1.25 M