Chemical EquilibriumhardNUMERICAL

For a specific ideal gaseous reaction, it is found that . If the balanced reaction is of the generalChemical Equilibrium Chemistry Question

Question

For a specific ideal gaseous reaction, it is found that $\log_{10}(K_p / K_c) = 2 \log_{10}(RT)$. If the balanced reaction is of the general form $xA(g) \rightleftharpoons yB(g) + zC(g)$, what is the integer value of $(y + z - x)$?

Answer: 2

💡 Solution & Explanation

The standard relationship is $K_p = K_c(RT)^{\Delta n_g}$. Taking the logarithm of both sides yields $\log_{10}(K_p/K_c) = \Delta n_g \log_{10}(RT)$. Comparing this with the given equation $\log_{10}(K_p/K_c) = 2 \log_{10}(RT)$, we find that $\Delta n_g = 2$. By definition for this reaction, $\Delta n_g = (y + z) - x$. Therefore, $(y + z - x) = 2$.

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