At a certain temperature, the ?pKp for the decomposition of H2SH2S is 0.761.0.761.   H2S(g)↽−−⇀H2(g)+S(g) Initially, only H2SH2S is present at a pressure of 0.151 atm0.151 atm in a closed container. What is the total pressure in the container at equilibrium?

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At a certain temperature, the ?pKp for the decomposition of H2SH2S is 0.761.0.761.

 

H2S(g)↽−−⇀H2(g)+S(g)

Initially, only H2SH2S is present at a pressure of 0.151 atm0.151 atm in a closed container. What is the total pressure in the container at equilibrium?

Expert Solution
Step 1

consider the reaction:

s + H oss

Initial partial pressure of H2S
is 0.104 and equilibrium constant,  is 0.842

ICE table for the reaction is:

H2
ICE
Initial pressure
Change in pressure
At equilibrium
0
HS
0.104
-X
0.104-x

Use the expression:

K - (P.„)x(px)
(PH)

Substitute 0.842 for , x for H2
and x for

XXX
0.842=
0.104

On solving, the equation is:

r? +0.842x -0.0876 = 0

The value of x is solved by using the quadratic equation:

-
b
b2-4ac
2a

Substitute 0.842 for b, 1 for a and 0.0876 for c and solve the equation:

-0.842
x=
(0.842) -4(1)(-0.0876)
2x1

= 0.0936 or -0.936

The values for x is 0.0936

Explanation | Hint for next step

If x atm be the decrease in pressure of A at time t and one mole each of B and C is being formed, the increase in pressure of B and C will also be x atm.

As per the ICE table:

Equilibrium partial pressure of H2S
PH2S
 is 0.104 – x

Substitute x as 0.0936

PH2
 = 0.104 - 0.0936

PH2
 is 0.0104 atm.

Equilibrium partial pressure of PH2
is x

Substitute x as 0.0936

PH2
is 0.0936 atm

Equilibrium partial pressure of Ps
is x

Substitute x as 0.0936

Ps
is 0.0936 atm

Explanation | Hint for next step

The value of x is 0.0936 which is used to calculate the equilibrium partial pressure of the gases.

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