From he calculations, we can see that the total pressure at equilibrium is 21 atm.
The term equilibrium constant commonly describes the constant that that shows the extent of conversion of reactants to products.
We have to find the pressure of each gas as follows;
For H2
P = nRT/V = 4.553 /2 × 0.082 × 1000/8.89 L = 21 atm
Using the ICE table;
C(s) + 2H2(g) ⇌ CH4(g)
I 21 atm 0
C -x +x
E 21 - x x
0.263= x/(21 - x )^2
0.263(21 - x )^2 = x
38 - 11x - 0.263x^2 = x
0.263x^2 + 12x - 38 = 0
x=2.97 atm
At equilibrium, we have;
(21 - 2.97) + 2.97 = 21 atm
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