Question

The first step in the industrial synthesis of hydrogen is the reaction of steam and methane to give synthesis gas, a mixture of carbon monoxide and hydrogen. h2o(g)+ch4(g)⇌co(g)+3h2(g) kc = 4.7 at 1400k. a mixture of reactants and products at 1400k contains 0.035 m h2o, 0.050m ch4, 0.15 m co, and 0.20 m h2.

Answer 1

The question is incomplete, complete questions is :    

The first step in the industrial synthesis of hydrogen is the reaction of steam and methane to give synthesis gas, a mixture of carbon monoxide and hydrogen.

$H_2O(g)+CH_4(g)\rightleftharpoons CO(g)+3H_2(g)$

Kc= 4.7 at 1400K. A mixture of reactants and products at 1400 K contains 0.035 M $H_2O$, 0.050 M $CH_4$, 0.15 M $CO$ , and 0.20 M $H_2$ .

In which direction does the reaction proceed to reach equilibrium?

A)The reaction will proceed from left to right to reach equilibrium.

B)The reaction will proceed from right to left to reach equilibrium.

Answer:

The correct answer is option A.

Explanation:

$H_2O(g)+CH_4(g)\rightleftharpoons CO(g)+3H_2(g)$

The equilibrium constant of the reaction at 1400 K =$K_c=4.7$

Concentration of water = $[H_2O]=0.035 M$

Concentration of methane = $[CH_4]=0.050 M$

Concentration of carbon monoxide= $[CO]=0.15 M$

Concentration of hydrogen = $[H_2]=0.20 M$

The reaction Quotient at 1400 K:

$Q_c=\frac{[CO][H_2]^3}{[H_2O][CH_4]}$

$Q_c=\frac{0.15 M\times (0.20 M)^3}{0.035 M\times 0.050 M}$

$Q_c=0.69$

$K_c>Q_c: 4.7>0.69$

So, the reaction will move in forward direction that is from left to right.