Forgetting all the detailed stuff (temperature, density, pressure) this is relatively simple.
1. Calculate, guess or estimate maximum filling and emptying rate of water to the tank,including emptying by bursting line, and including max filling obtainable rate even if this is above 'normal allowed'.
2. Check max allowed over and underpressure for the tank. Note:careful about underpressure, tank constructions are weaker for this than for overpressure. (Tank collapsing in industry by sudden vacuum by steam condensation without air inlet is a well-known phenomen)
3. Water in or out (in cubic/timeunit) equals air in or out at max or rater below max pressure. Ask vent supplier for capacity at rate at or below given max over/underpressure out/in. (May be different capacities)for the venting valve.
4. Check the air speed the vent supplier uses for calculations. Should be 'reasonable' and allow for extra safety from 20% -50%.
5. Different vent types on the market commercially easily available.