Skimmer question

[Kfactor]

I have around a 30 to 40 g system I have a coral box 300 dc skimmer but I’m only running it 6 hours 3 times a week because my nutrients keep bottoming out. I want to run a skimmer more to oxygenate my water I have a new k1 nano skimmer that I bought for my other system but never used my question is would it be better to run somthing smaller ?

 

[Pistondog]

Just remove the collection cup and let it overflow for oxygenation