Answer:
Kc=13.61
Step-by-step explanation:
A chemical equilibrium is the situation in which the ratio between the amounts of reagents and products in a chemical reaction remains constant over time.
The equilibrium constant (Kc) is useful for the study of chemical equilibrium, being a constant that indicates whether the reaction is favored to the formation of products or to the formation of reactants.
Being:
aA + bB ⇔ cC + dD
where a, b, c, d are the stoichiometric coefficients of the reaction and A, B, C, D are the symbols or formulas of the different substances involved
Then:
![Kc=([C]^(c) *[D]^(d) )/([A]^(a) *[B]^(b) )](https://img.qammunity.org/2021/formulas/chemistry/high-school/sq0y109vxrlor0lre5d7gtd4e1lmwzjnp6.png)
where [] is the Molar concentration of each of the substances in equilibrium.
In this case, you know: 2 SO₂(g) +O₂(g)⇌2 SO₃(g)
So:
![Kc=([SO_(3) ]^(2) )/([SO_(2)] ^(2) *[O_(2) ])](https://img.qammunity.org/2021/formulas/chemistry/high-school/jmslvxtfadh3v7b4xsc30sgl7lmvwa7nuq.png)
Being: [SO2]=0.48 M, [O2]=0.40 M, and [SO3]=1.12 M
![Kc=([1.12]^(2) )/([0.48] ^(2) *[0.40 ])](https://img.qammunity.org/2021/formulas/chemistry/high-school/jy21km76fktomn2kg9o1aira6bd0jv6b3l.png)
Kc=13.61