Problem 2.2

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 \(\Delta p \geqslant 1.10\) atm. Initially there was a vacuum in one vessel while the other contained ideal gas at a temperature \(t_{1}=27^{\circ} \mathrm{C}\) and pressure \(p_{1}=1.00\) atm. Then both vessels were heated to a temperature \(t_{2}=107{ }^{\circ} \mathrm{C} .\) Up to what value will the pressure in the first vessel (which had vacuum initially) increase?