I am not aware of any ready formula, but it is rather simple to derive from the Nernst equation with some assumptions. You need to take into account the load behavior though, as your question is rather ambiguous at this stage. Does the load draw constant current? constant power? variable current? If so, how does it change over time? Once that is known further calculations are a rather trivial physics, easy to combine with Faraday's law.
Sorry, I can point you in the right direction, but I can't do the work for you.