Solutions to Kc Relationship to Balanced Chemical Equation Exercises

Exercises

Exercise 1. Given the following,

2 NO (g) + 2 H2 (g) ⇄ N2 (g) + 2 H2O (g)    Kc = 6.7 x 102

what is the equilibrium constant for the following reaction?

1/2 N2 (g) + H2O (g) ⇄ NO (g) + H2 (g)    K’c = ?

The equation has been reversed and the coefficients have been divided by 2.

\(\displaystyle K’_c\;=\;\sqrt{\frac{1}{6.7 \times 10^2}}\;=\;\mathbf{3.86 \times 10^{-2}}\)

Exercise 2. Using the following equations,

H+ (aq) + F (aq) ⇄ HF (aq)     Kc = 1.5 x 103
2 H+ (aq) + C2O4-2 (aq) ⇄ H2C2O4 (aq)    Kc = 2.6 x 105

to find the value of the equilibrium constant for the following reaction.

2 F (aq) + H2C2O4 (aq) ⇄ 2 HF (aq) + C2O42- (aq)   Kc = ?

Multiply the coefficients of the first equation by 2. Then reverse the second equation.

\(\displaystyle 2\;H^+\:(aq)\;+\;2\;F^-\;(aq)\;⇄\;2\;HF\;(aq)\)
\(\displaystyle H_2C_2O_4\;(aq)\;⇄\;2\;H^+\;(aq)\;+\;C_2O_4^{2-}\;(aq)\)

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