For the reaction A(g) + B(g) ⇋ 2 C(g) the following equilibrium concentrations were found:[A(g)] = 0.358 mol / L[B(g)] = 0.216 mol / L[C(g)] = 0.750 mol / LCalculate the value of the equilibrium constant Kc. Give 3 significant figures in your answer.
Question
For the reaction A(g) + B(g) ⇋ 2 C(g) the following equilibrium concentrations were found:[A(g)] = 0.358 mol / L[B(g)] = 0.216 mol / L[C(g)] = 0.750 mol / LCalculate the value of the equilibrium constant Kc. Give 3 significant figures in your answer.
Solution
The equilibrium constant Kc for the reaction is given by the formula:
Kc = [C]^2 / ([A] * [B])
where [A], [B] and [C] are the equilibrium concentrations of A, B and C respectively.
Substituting the given values into the formula, we get:
Kc = [0.750]^2 / (0.358 * 0.216)
Calculate the value in the numerator:
= 0.750 * 0.750 = 0.5625
Then calculate the value in the denominator:
= 0.358 * 0.216 = 0.077328
Finally, divide the numerator by the denominator to find Kc:
Kc = 0.5625 / 0.077328 = 7.27 (rounded to three significant figures)
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