Answer:
Value of [tex]K_{c}[/tex] is 0.090.
Explanation:
Initial molarity of [tex]O_{2}[/tex] = [tex]\frac{0.350}{5.00}M[/tex] = 0.0700 M
Construct an ICE table corresponding to the combustion reaction of carbon to determine [tex]K_{c}[/tex]
[tex]C(s)+O_{2}(g)\rightarrow 2CO(g)[/tex]
I (M): - 0.0700 0
C (M): - -x +2x
E (M): - 0.0700-x 2x
So, [tex]K_{c}=\frac{[CO]^{2}}{[O_{2}]}[/tex] , where [CO] and [tex][O_{2}][/tex] represents equilibrium concentration of CO and [tex]O_{2}[/tex] respectively.
Here, [tex][CO]=2x=0.060[/tex]
⇒x = 0.030
So, [tex][O_{2}][/tex] = 0.0700-x = (0.0700-0.030) = 0.040
Hence, [tex]K_{c}=\frac{(0.060)^{2}}{0.040}=0.090[/tex]