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Question: The relation between Kp and Kc for the reaction A(g)+B(g) $\rightleftharpoons$ C(g)+2D(g) is-...

The relation between Kp and Kc for the reaction A(g)+B(g) \rightleftharpoons C(g)+2D(g) is-

Answer

Kp = Kc RT

Explanation

Solution

The relation between Kp and Kc is given by Kp = Kc(RT)Δng^{\Delta n_g}, where Δng\Delta n_g is the difference between the total number of moles of gaseous products and gaseous reactants. For the reaction A(g) + B(g) \rightleftharpoons C(g) + 2D(g), the number of moles of gaseous reactants is 1 + 1 = 2, and the number of moles of gaseous products is 1 + 2 = 3. Therefore, Δng=32=1\Delta n_g = 3 - 2 = 1. Substituting this value into the formula gives Kp = Kc(RT)1^1 = Kc RT.