Answer:
K = 0,0285
Step-by-step explanation:
It is possible to obtain the equilibrium constant of a reaction using the sum of another different reactions. In this case the reactions are:
(1) A(s) ⇌ 1/2 B(g) + C(g), K1=0.0334
(2) 3D(g) ⇌ B(g) + 2C(g), K2=2.35
2*(1) 2A(s) ⇌ B(g) + 2C(g), 2* K1 = 2* 0.0334 = 0,0668
-(2) B(g) + 2C(g) ⇌ 3D(g) 1/K2 = 1/2,35 = 0,426
2*(1) - (2): 2A(s) ⇌ 3D(g) K = 0,0285
I hope it helps!