Theoretical solution (i.e. a lot of work for not much gain):
For ideal solutions, you may first think of Henry's law to get the partial pressure above the liquid. However, if the solution is non-ideal, you will need to apply an activity coefficient for that particular solute/solvent mixture. To further complicate this, the gases you reference are also reactive with water, so you will need to develop an equilibrium expression (i.e. Cl2 + H2O <-> HCl + HOCL) and consider the relative volatilities of each component. Lastly, you will need to apply Fick's law of diffusion for this mixture to generate an estimate of the diffusion rate from the liquid surface. The controlling case for Fick's law will be how you set your boundary - will it be diffusion into an infinite space, or will you sweep the room with air to maintain a certain concentration?
A brief Google search revealed some data may exist for Henry's laws constants for "free" chlorine, so that data may relieve you of the need to develop an equilibrium and activity coefficient model.
Practical solution (what I would personally do):
1. If this is an existing installation, grab a cheap Cl2 monitor and walk out there in the middle of summer to measure ppms. Develop an abatement plan based on that reading. Pulling from electrical classification methods, a good starting point for ventilation calculations would be 7 changes of the room volume per hour if you cannot seal the tank and vent outside. If you cannot seal the tanks, then you'll still need Fick's law to calculate required sweep rate to maintain required ppms in the airspace.
2. If this will be a new installation, seal the tank and vent outside.
Personally, I would try to seal the tanks and vent outside if possible. Introducing an air sweep would be expensive due to both the installation cost and ongoing cost of energy/lost chemical.