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?