At 800 K, the equilibrium constant, Kp, for the following reaction is 3.2 × 10–7. 2 H2S(g) ⇌ 2 H2(g) + S2(g) A reaction vessel at 800 K initially contains 3.00 atm of H2S. If the reaction is allowed to equilibrate, what is the equilibrium pressure of S2?

Respuesta :

Answer:

0.008945 atm

Explanation:

In the reaction:

2H2S(g) ⇌ 2 H2(g) + S2(g)

Kp is defined as:

[tex]Kp = P_{H_{2}}^2P_{S_{2}} / P_{H_{2}S}^2[/tex]

Where P is the pressure of each compound in equilibrium.

If initial pressure of H2S is 3.00atm, concentrations in equilibrium are:

H2S = 3.00 atm - 2X

H2 = 2X

S2: = X

Replacing:

[tex]3.2x10^{-7} = (2X)^2X / (3-2X)^2[/tex]

[tex]3.2x10^{-7} = 4X^3 / 9- 6X+4X^2[/tex]

0 = 4X³ - 1.28x10⁻⁶X² + 1.92x10⁻⁶X - 2.88x10⁻⁶

Solving for X:

X = 0.008945 atm

As in equilibrium, pressure of S2 is X, pressure is 0.008945 atm

The pressure of the H2S at equilibrium is 0.0089 atm.

The ICE table is set up as follows;

          H2S(g) ⇌ 2 H2(g) + S2(g)

I          3                0             0

C       -x                 + x           +x

E     3 - x               x              x

Given that;

Kp = P.H2^2 × P.S2/P.H2S^2

Kp = 3.2 × 10–7

3.2 × 10–7 =4 x^3/ (3 - x)^2

3.2 × 10–7 = 4x^3/9 - 6x + x^2

4x³ - 1.28x10⁻⁶x² + 1.92x10⁻⁶x - 2.88x10⁻⁶ = 0

x = 0.0089 atm

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