This is a transport problem. Units of mol/(m^2 s) are units of flux: the mass transfer rate across a surface boundary. In Fick's law, the transport flux equals the rate transport coefficient (the quantity in m/s that you are looking for) times the concentration gradient (in this case the concentration of CO2 from the air bulk to the interface to the bulk in the plant tissue). If you have an estimate for the flux and for the gradient, you could estimate the rate coefficient.
Easy, you just use the factor converting conductance in units of mm s-1 to mmol m-2 s-1 as follow: g/g = P/RT where P is the atmospheric pressure, T is the air temperature and R is the gas constant, [g] = mmol m-2 s-1 and [g] = mm s-1 so do the inverse cause you need mm s-1 or m s-1, be careful with units. This factor at 25 °C and a P of 100 kPa is 40.3.
mesophyll conductance unit is mol m-2s-1bar-1. I need to convert this into ms-1 in order to use in an environmental model. can any one explain this to me, how to convert units?