Answer: [tex]1.1\times 10^4[/tex]
Explanation:
Equilibrium constant is defined as the ratio of concentration of products to the concentration of reactants each raised to the power their stoichiometric ratios. It is expressed as [tex]K_c[/tex].
The given balanced equilibrium reaction is,
[tex]C_3H_6O(g)+4O_2(g)\rightleftharpoons 3CO_2(g)+3H_2O(g)[/tex]
At eqm. conc. (0.51) M (0.30) M (1.8) M (2.0)M
The expression for equilibrium constant for this reaction will be,
[tex]K_c=\frac{[CO_2]^3\times [H_2O]^3}{[O_2]^4\times [C_3H_6O]^1}[/tex]
Now put all the given values in this expression, we get :
[tex]K_c=\frac{(1.8)^3\times (2.0)^3}{(0.30)^4\times (0.51)^1}[/tex]
[tex]K_c=1.1\times 10^4[/tex]
Thus the value of the equilibrium constant is [tex]1.1\times 10^4[/tex]