The given reaction is A(g)⇌B(g).
Let the initial moles of A be 1 and at equilibrium, let x moles of A dissociate.
Moles at equilibrium:
nA=1−x
nB=x
Since Δng=0, the equilibrium constant Kc can be written in terms of moles:
Kc=nAnB=1−xx=4.0
x=4−4x⇒5x=4⇒x=0.8
At equilibrium, the moles of the gases are:
nHe=1
nB=0.8
Using the ideal gas equation P=VnRT, the partial pressures are calculated as follows:
Partial pressure of He:
PHe=101×0.082×400=3.28 atm
Partial pressure of B(g):
PB=100.8×0.082×400=2.624 atm
Answer: 3.28,2.624