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(D) The relationship between $K_p$ and $K_c$ is given by $K_p = K_c(RT)^{\Delta n_g}$.For the reaction $A_{(g)} + 2B_{(g)} \rightleftharpoons 3C_{(g)}

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$5 	imes 10^{-5} / R$

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(D) The relationship between $K_p$ and $K_c$ is given by $K_p = K_c(RT)^{\Delta n_g}$.For the reaction $A_{(g)} + 2B_{(g)} ightleftharpoons 3C_{(g)} + D_{(g)}$,the change in the number of moles of gaseous species is $\Delta n_g = (3 + 1) - (1 + 2) = 4 - 3 = 1$.Given $K_p = 0.05 \ atm$ and $T = 1000 \ K$.Substituting the values: $0.05 = K_c(R 	imes 1000)^1$.Therefore,$K_c = \frac{0.05}{1000 \ R} = \frac{5 	imes 10^{-2}}{10^3 \ R} = 5 	imes 10^{-5} / R$.

For the reaction $A_{(g)} + 2B_{(g)} \rightleftharpoons 3C_{(g)} + D_{(g)}$,the value of $K_p$ at $1000 \ K$ is $0.05 \ atm$. The value of $K_c$ in terms of $R$ will be:

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