FOR PRACTICE 15.6 The reaction
of CH4 in Example 15.6 is carried
out at a different temperature
with an initial concentration of
[CH] = 0.087 M. At equilibrium,
the concentration of His 0.012 M.
Find the equilibrium constant at
this temperature.

Respuesta :

Answer:

The equilibrium constant will be "1.1×10⁻⁶ m²".

Explanation:

CH₄ has a varying temperatures response with such an initial concentration of [CH₄] = 0.087 m.

At equilibrium, concentration of H₂ will be 0.012 m.

2CH₄           ⇄         C₂H₂ + 3H₂

(0.087 m)                  (0)       (0)

(0.087-2x)                 (x)        (3x)

[H₂] = 0.012 m

⇒  3x = 0.012

⇒    x = 0.004m

Now,

On putting the value of "x" in the above expression, we get

⇒ (0.087-0.004×2)          (0.004)           (0.012 m)

⇒ (0.079 m)                     (0.004)            (0.012 m)

As we know,

[tex]Kc(Equilibrium \ constant)=\frac{[C2H2][H2]^3}{[CH4]^2}[/tex]

On putting the values in the above formula, we get

⇒  [tex]Kc=\frac{(0.004)(0.012)^3}{(0.079)^2}[/tex]

⇒        [tex]=1.1075\times 10^{-6}[/tex]

⇒        [tex]=1.1\times 10^{-6} \ m^2[/tex]