Respuesta :
Answer:
K = 3.45
Explanation:
In the reaction:
SO₂(g) + NO₂(g) ⇄ SO₃(g) + NO(g)
And K is:
K = [SO₃] [NO] / [SO₂] [NO₂]
Where [] are concentrations in equilibrium, as volume is 1L, [] could be taken as moles.
Equilibrium concentrations are:
[SOâ‚‚] = 2.00 moles - X
[NOâ‚‚] = 2.00 moles - X
[SO₃] = X
[NO] = X
AS moles of NO are 1.3 moles, X = 1.3 moles
Replacing:
[SOâ‚‚] = 0.7 moles = 0.7M
[NOâ‚‚] = 0.7M
[SO₃] = 1.3M
[NO] = 1.3M
K = 1.3M² / 0.7M²
K = 3.45
The equilibrium constant is 3.5.
First of all we must obtain the equation of the reaction as follows;
SO₂(g) + NO₂(g) ⇄ SO₃(g) + NO(g)
Next we obtain the initial concentration of each specie;
SOâ‚‚(g) = Â 2.00 moles/1.00-L Â = 2 M
NOâ‚‚(g) Â = Â 2.00 moles/1.00-L Â = 2 M
At equilibrium;
NO = Â 1.30 moles//1.00-L Â = 1.3 M
The we set up the ICE table as follows;
     SO₂(g) + NO₂(g) ⇄ SO₃(g) + NO(g)
I Â Â Â Â Â 2 Â Â Â Â Â Â 2 Â Â Â Â Â Â Â Â 0 Â Â Â Â Â 0
C     -x       -x        +x      +x
E    2 - x     2 - x       0 + x   0 + x
When x = 1.3
Concentration of each specie at equilibrium;
SOâ‚‚(g) = 2 - 1.3 = 0.7 M
NOâ‚‚(g) = 2 - 1.3 = 0.7 M
SO₃(g)  = 1.3 M
NO(g) M
K = (1.3)^2/(0.7)^2
K = 3.5
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