Hi does the energy bar refill 110 energy every 24 hours or does it max out at 110?

The original energy bar maxes out at 110 energy bolts. You receive 1 energy bolt every 2 minutes, meaning it will reach the max in 3 hours and 40 minutes.

FYI, the increased capacity bar maxes out at 150 energy. Energy is recharged at the same rate, but it will reach the max in 5hrs. So you can be away from the game for 5 hours and still have energy recharging. The increased capacity bar is available for 799 diamonds and comes with a one-time 450 energy bolts. After you buy it, all character puzzles and activated star boosters will give you 150 energy instead of 110. You can find the offer by tapping on the "+" sign next to your energy count.