Let's start out by writing the balanced equation for the dissociation of carbonic acid:
Remember the dissociation constant will be the ratio of the dissociated products (
Looking at this equation, we can divide both sides by
Since we want the ratio of carbonic acid to bicarbonate, just invert the equation:
Now, all we need to do is find
Plugging back in, the ratio of carbonic acid to bicarbonate becomes:
One can also use the Henderson-Hasselbalch Equation to calculate the Bicarb:Carbonic Acid Ratio then take the reciprocal.