1. The problem statement, all variables and given/known data X and Y are two gas bottles that are connected by a tube that has negligible volume compared with the volume of each bottle. There is a valve in the tube that is initially closed. X has a volume of 2V and contains hydrogen at a pressure of p, Y has a volume V and contains hydrogen at a pressure of 2p. X and Y are initially at the same temperature. The valve between the two bottles is now opened, Assuming that there is no change in temperature, what is the new gas pressure? 2. Relevant equations pV=nRT 3. The attempt at a solution rearranging R = pV/nT so (PxVx)/(Tx nx) = (PyVy)/(Ty ny) T's cancel so (PxVx)/nx = (pY Vy)/ny Vx = 2Vy and Px = 1/2 Py so... 1/2Py x 2Vy / nx = Py Vy / ny PyVy/nx = PyVy/ny hence nx = ny therefore PxVx/Tx = PyVy/Ty temperatures cancel so PxVx = PyVy Vx = 2Vy and Px = 1/2 Py so... 1/2 Pyx 2Vy = PyVy PyVy = Py Vy ?!?!?!?