For the given gas phase reaction:
2A(g)→4B(g)+C(g)
Let the initial pressure of A(g) be P0.
At t=0: PA=P0, PB=0, PC=0
At t=t: PA=P0−2p, PB=4p, PC=p
Total pressure at time t, Pt=P0−2p+4p+p=P0+3p
At t=∞, the reaction is complete, so PA=0⇒2p=P0⇒p=2P0
Total pressure at t=∞, P∞=4(2P0)+2P0=25P0
Given P∞=600 mm Hg:
25P0=600⇒P0=240 mm Hg
At t=30 min, Pt=300 mm Hg:
P0+3p=300
240+3p=300⇒3p=60⇒p=20 mm Hg
The pressure of C(g) at 30 minutes is p=20 mm Hg.
Answer: 20