The equilibrium constants for three reactions | vedclass

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Question

(B) The given reactions are:$(I) \, CO_{(g)} + H_2O_{(g)} \rightleftharpoons CO_{2_{(g)}} + H_{2_{(g)}} ; \, k_1$$(II) \, CH_{4_{(g)}} + H_2O_{(g)} \r

Vedclass · Accepted Answer

$k_3 = k_1 k_2$

Vedclass · Answer

(B) The given reactions are:$(I) \, CO_{(g)} + H_2O_{(g)} ightleftharpoons CO_{2_{(g)}} + H_{2_{(g)}} ; \, k_1$$(II) \, CH_{4_{(g)}} + H_2O_{(g)} ightleftharpoons CO_{(g)} + 3H_{2_{(g)}} ; \, k_2$$(III) \, CH_{4_{(g)}} + 2H_2O_{(g)} ightleftharpoons CO_{2_{(g)}} + 4H_{2_{(g)}} ; \, k_3$Observe that adding reaction $(I)$ and reaction $(II)$ gives reaction $(III)$:$(CO_{(g)} + H_2O_{(g)}) + (CH_{4_{(g)}} + H_2O_{(g)}) ightleftharpoons (CO_{2_{(g)}} + H_{2_{(g)}}) + (CO_{(g)} + 3H_{2_{(g)}})$Canceling common terms $(CO_{(g)})$ on both sides:$CH_{4_{(g)}} + 2H_2O_{(g)} ightleftharpoons CO_{2_{(g)}} + 4H_{2_{(g)}}$Since reaction $(III) = (I) + (II)$,the equilibrium constant $k_3$ is the product of $k_1$ and $k_2$:$k_3 = k_1 	imes k_2$

Similar Questions

If the equilibrium constant for the reaction ${N_2}_{(g)} + {O_2}_{(g)} \rightleftharpoons 2NO_{(g)}$ is $K$,then what is the equilibrium constant for the reaction $\frac{1}{2}{N_2}_{(g)} + \frac{1}{2}{O_2}_{(g)} \rightleftharpoons NO_{(g)}$?

If the equilibrium constant for the reaction $2AB \rightleftharpoons A_2 + B_2$ is $49$,what is the equilibrium constant for $AB \rightleftharpoons \frac{1}{2}A_2 + \frac{1}{2}B_2$?

For the reaction $N_2O_{4(g)} \rightleftharpoons 2NO_{2(g)}$,the concentrations of $N_2O_4$ and $NO_2$ at equilibrium are $4.8 \times 10^{-2} \, mol \, L^{-1}$ and $1.2 \times 10^{-2} \, mol \, L^{-1}$ respectively. Calculate the value of $K_c$.

At $T \ (K)$,$K_{p}$ value for the reaction,$2 \ AO_{2(g)} + O_{2(g)} \rightleftharpoons 2 \ AO_{3(g)}$ is $4 \times 10^{10}$. What is the $K_{p}^{\prime}$ value for $3 \ AO_{2(g)} + \frac{3}{2} \ O_{2(g)} \rightleftharpoons 3 \ AO_{3(g)}$ at $T \ (K)$?

In which of the following reactions will the concentration of the product be greater than the concentration of the reactant at equilibrium? ($k$ = equilibrium constant)

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