Question

9. Q and r are two rigid containers of volume 3v and v respectively containing molecules of the same ideal gas initially at the same temperature. The gas pressures in q and r are p and 3p respectively. The containers are connected through a valve of negligible volume that is initially closed. Q valve r the valve is opened in such a way that the temperature of the gases does not change. What is the change of pressure in q?

Answer 1

Hey buddy,

◆ Answer-
∆P(for Q) = p

◆ Explaination-
# Given-
P1 = p
P2 = 3p
V1 = 3v
V2 = v

# Solution-
As valve is opened to move freely, pressure on each side will be equal conserving total pressure.
P = (P1+P2)/2
P = (p+3p)/2
P = 2p

Change in pressure in container Q is
∆P = P-P1
∆P = 2p-p
∆P = p

Change in pressure for container Q is p.