[Single-digit Integer] Two identical vessels are connected by a tube with a valve letting the gas pa β States of Matter and Gaseous State Chemistry Question
Question
[Single-digit Integer] Two identical vessels are connected by a tube with a valve letting the gas pass from one vessel into the other if the pressure difference, ΞP β₯ 2.0 atm. Initially there was a vacuum in one vessel while the other contained ideal gas at a temperature 300 K and pressure 4.0 atm. Then both vessels were heated to a temperature 600 K. Up to what value will be the pressure (in atm) in the first vessel (which had a vacuum initially) increase?
π‘ Solution & Explanation
Initially Vessel 1 at 4 atm, Vessel 2 vacuum ($\Delta P=4\ge2$ atm). Valve opens. Gas flows until pressures equalise: $P_1'=P_2'=2$ atm. Now $\Delta P=0<2$ atm, valve closes. At constant temperature pressures don't change further. Valve opened exactly $\boxed{1}$ time.