You could use a basic simple non-inverting driver chip like MIC4422 (TC4422).
I can only find TC4426 on my supplier, works as well right?
TC4426 is a high-speed, inverting, dual mosfet driver. It has two channels to drive two mosfets, and is rated at 1.5 amps peak output current. You could use this driver, but since it is inverting your PWM control will work "backwards"; that is, when you have the smallest pulse width from the timer chip you will have the greatest ON time of the mosfet. This may or may not be a problem. When I breadboarded the circuit I tried both non-inverting and inverting simultaneously (using the 555 output directly to drive a N-ch mosfet and a PNP transistor at the same time, each with its own load) and for me, just testing with LED loads, the inverted gave a more pleasing dimming effect.
R1 is one of the components that sets the frequency of the circuit and to a lesser extent the duty cycle. Higher value here means lower frequency. I would leave R1 at 1k and change the frequency (if needed) by changing the value of the capacitor C1.
I'm afraid I don't know what you mean here. Do you have your electrolyzer cell connected? What are you using for a power supply? How are you measuring this current and voltage? What potentiometer setting? There isn't enough information to say whether or not your numbers are "good". Certainly a current of 30 uA isn't going to do much electrolysis, but the average current through your cell will depend on duty cycle setting, frequency, mosfet performance, etc.
Sorry... I meant R2, the current limiting resistor on the gate. With the 47 Ohm resistor i got about 20-30uA from 0 to 50K on the pot. I wanted to know if that was the "normal", btw i took this measurement with a 2A load. Also if i use the gate driver IC i still need R2?
I still don't know how or where you are measuring that 20-30 uA current. Remember that the mosfet does not function in the same way that a BJT transistor does; it is not controlled by base-emitter current but rather by gate charge. When you turn on a mosfet's drain-source channel you are actually charging up its gate capacitance. Once the gate is charged there is essentially no current flowing through the gate to the other pins. To turn the mosfet off again the gate must be discharged; this discharge path can be provided by a high value resistor between gate and source, or by the driver chip itself pulling its gate output low.
It is common to use a small resistor (like 10 - 100 ohms) in series with the mosfet Gate. The resistor is there to help protect the mosfet from turn-on and turn-off voltage spikes. The value is a compromise between protecting the mosfet and slowing it down too much. With noninductive loads you use lower value of this resistor. For your purposes, unless the hydrolysis cell and wiring is unusually inductive, I should think you can use 10 ohms without problems.
I have also found that a 10k potentiometer works well, where you have 50k.
What is the difference between the 50K and a 10K? Don´t do i get more "range" with the 50K?
Slightly. Using the cap values you have and 12 v supply, with a 10k pot you'll get a frequency of about 1 kHz and a PWM range of from about 9 percent HI to 99 percent Hi.
With a 50k pot you'll get a frequency of about 215-230 Hz and a PWM range from about 2 percent HI to 99 percent HI. So the pot value is a tradeoff between what frequency you need and the PWM adjustment range.
You can also change the 0.1 uF capacitor value to get different frequency ranges. With a 33nF cap and 50k pot you'll get 700-735 Hz as your base frequency, etc.