Answer:
The reaction must run in the forward direction to reestablish equilibrium.
The concentration of [tex]O_{2}[/tex] will increase.
Explanation:
Chemical reaction: [tex]2SO_{3}(g)\rightleftharpoons 2SO_{2}(g)+O_{2}(g)[/tex]
Equilibrium constant in terms of concentration is expressed as:
[tex]K_{c}=\frac{[SO_{2}]^{2}[O_{2}]}{[SO_{3}]^{2}}[/tex]
[tex]K_{c}[/tex] is constant for a particular temperature.
When [tex]SO_{2}[/tex] is removed from system then [tex]K_{c}[/tex] decreases. Hence more [tex]SO_{3}[/tex] will decompose to produce more [tex]SO_{2}[/tex] and [tex]O_{2}[/tex] and keep [tex]K_{c}[/tex] constant in accordance with Le-chatelier principle.
Therefore the reaction must run in the forward direction to reestablish equilibrium.
Also, the concentration of [tex]O_{2}[/tex] will increase.