Answer
(a) $$K_c = 3.2 $$
(b) $$K_c = 28.5$$
Work Step by Step
(a)
1. Calculate $\Delta n$ (n is the amount of moles of gases):
$$\Delta n = n_{products} - n_{reactants} = 1 - 2 = -1 $$
2 . Calculate Kc:
$$K_c = \frac{K_p}{(RT)^{\Delta n}} = \frac{( 3.9 \times 10^{-2} )}{(0.0821 \times 1000. )^{ -1 }}$$
$$K_c = 3.2 $$
(b)
1. Calculate $\Delta n$ (n is the amount of moles of gases):
$$\Delta n = n_{products} - n_{reactants} = 1 - 1 = 0 $$
2 . Calculate Kc:
$$K_c = \frac{K_p}{(RT)^{\Delta n}} = \frac{( 28.5 )}{(0.0821 \times 500. )^{ 0 }}$$
$$K_c = 28.5$$
