An insulated cylindrical vessel is divided into three identical parts by two partitions 1 and 2. The left part contains `O_(2)` gas, the middle part has `N_(2)` and the third chamber has vacuum. The average molecular speed in oxygen chamber is `V_(0)` and that in nitrogen chamber is `sqrt((8)/(7)) V_(0)`. Pressure of the gases in two chambers is same. Partition 1 is removed and the gases are allowed to mix. Now the stopper holding the partition 2 is removed and it slides to the right wall of the container, so that the mixture of gases occupy the entire volume of the container.
Find the average speed of `O_(2)` molecules now.

Answer

`V_(0)`