Consider the following reaction: CH4(g) + 2 H2S(g) ↔ CS2(g) + 4 H2(g) A reaction mixture initially contains 0.50 M CH4 and 0.75 M H2S. If the equilibrium concentration of H2 is 0.44 M, find the equilibrium constant (Kc) for the reaction. Consider the following reaction: CH4(g) + 2 H2S(g) CS2(g) + 4 H2(g) A reaction mixture initially contains 0.50 M CH4 and 0.75 M H2S. If the equilibrium concentration of H2 is 0.44 M, find the equilibrium constant (Kc) for the reaction. 0.23 0.038 2.9 0.34 10.

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Answer:

                     CH4    +      2H2S      ↔  CS2  +         4H2

initial:            0.50            0.75                 0                  0

change:        -(0.44/4)     -(0.44/2)        +(0.44/4)      +0.44

Equilibrium:    0.39             0.53              0.11            0.44

Kc = {[CS2][H2]^4}/{[CH4][H2S]^2} = 0.038

Explanation:

Initially we have reactants but no product, if 0.44 M of one of the product is found at equilibrium we can find how much was produced and how much reactants were used. when the product is formed, the reactant is being used thus the negative sign on the change. using their respective stoichiometry (their corresponding number of mole). At equilibrium the reactant used will be subtracted from the one initially present.

with equilibrium constant formula and the equilibrium concentrations, find the Kc which is 0.038

The equilibrium constant, Kc for the reaction is 0.038

We'll begin by obtaining the equilibrium concentration for each compound. This can be obtained as follow:

CH₄ + 2H₂S <=> CS₂ + 4H₂

Initial concentration:

[CH₄] = 0.50 M

[H₂S] = 0.75 M

[CS₂] = 0

[H₂] = 0

Change:

[CH₄] = –(0.44/4)

[H₂S] = –(0.44/2)

[CS₂] = +(0.44/2)

[H₂] = +0.44

Equilibrium concentration:

[CH₄] = 0.50 – (0.44/4) = 0.39 M

[H₂S] = 0.75 – (0.44/2) = 0.53 M

[CS₂] = 0.44/4 = 0.11 M

[H₂] = 0.44 M

Finally, we shall determine the equilibrium constant for the reaction.

  • [CH₄] = 0.39 M
  • [H₂S] = 0.53 M
  • [CS₂] = 0.11 M
  • [H₂] = 0.44 M

Equilibrium constant (Kc) =?

CH₄ + 2H₂S <=> CS₂ + 4H₂

Kc = [CS₂][H₂]⁴ / [CH₄][H₂S]²

Kc = (0.11 × 0.44⁴) / (0.39 × 0.53²)

Kc = 0.038

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