Class 11 Chemistry - Chapter Equilibrium NCERT Solutions | The reaction, CO(g) + 3H2(g) ↔ C

Welcome to the NCERT Solutions for Class 11th Chemistry - Chapter Equilibrium. This page offers a step-by-step solution to the specific question from Excercise ".$ex_no." , Question 34: the reaction co g 3h2 g harr ch4 g h2....
Question 34

The reaction,

CO(g) + 3H2(g) CH4(g) + H2O(g)

is at equilibrium at 1300 K in a 1L flask. It also contain 0.30 mol of CO, 0.10 mol of H2 and 0.02 mol of H2O and an unknown amount of CH4 in the flask. Determine the concentration of CH4 in the mixture. The equilibrium constant, Kc for the reaction at the given temperature is 3.90.

Answer

Let the concentration of methane at equilibrium be x.

                         CO(g)  +  3H2(g)    CH4(g) +  H2O(g)

At equilibrium    0.3/1 M    0.1/1 M       x             0.02/1 M

It is given that Kc= 3.90.

Therefore,

Kc  =  [CH4(g)] [ H2O(g)]  /  [ CO(g) ] [H2(g)]3

⇒  [x] [0.02]  / (0.3)  (0.1)3  = 3.90

⇒ x  = (3.90) (0.3)  (0.1)/ [0.02]

⇒ x = 0.00117 / 0.02

      = 0.0585 M

      = 5.85 x 10-2

Hence, the concentration of CH4 at equilibrium is 5.85 × 10-2 M.

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