The volume of air in the bottle would decrease significantly if the bottle containing warm air were submerged in liquid nitrogen at -196°C.
When air is cooled, it contracts. At -196°C, air contracts significantly, reducing its volume compared to its original volume at warmer temperatures. The exact volume decrease depends on several factors, including the initial temperature of the warm air in the bottle and the pressure conditions.
As a rule of thumb, when air is cooled to extremely low temperatures like -196°C, it can shrink to a fraction of its original volume. Unfortunately, without specific data about the initial conditions of the warm air or the bottle, it's challenging to precisely calculate the final volume of air in the bottle after submerging it in liquid nitrogen.