Answer:
The equilibrium concentrations are:
[SO2]=[NO2] = Â 0.563 M
[SO3]=[NO] = Â 1.04 M
Explanation:
Given:
Equilibrium constant K = 3.39
[SO2] = [NO2] = [SO3] = [NO] = 0.800 M
To determine:
The equilibrium concentrations of the above gases
Calculation:
Set-up an ICE table for the given reaction
     [tex]SO2(g) + NO2(g)\rightleftharpoons  SO3(g) + NO(g)[/tex]
I Â Â Â Â Â Â Â Â 0.800 Â Â Â 0.800 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0.800 Â Â Â 0.800
C         -x        -x                     +x       +x
E Â Â Â Â Â Â Â (0.800-x) Â (0.800-x) Â Â Â Â Â Â Â Â Â Â Â Â Â Â (0.800+x) Â (0.800+x)
The equilibrium constant is given as:
[tex]Keq = \frac{[SO3][NO]}{[SO2][NO2]}=\frac{(0.800+x)^{2}}{(0.800-x)^{2}}[/tex]
[tex]3.39=\frac{(0.800+x)^{2}}{(0.800-x)^{2}}[/tex]
x = 0.2368 M
[SO2]=[NO2] = 0.800 -x = 0.800 - 0.2368 = 0.5632 M
[SO3]=[NO] = 0.800 +x = 0.800 + 0.2368 = 1.037 M