What are the laboratory procedures for identifying the concentrations of formic acid and acetic acid in aqueous solutions using titration, spectrophotometry, or gas chromatography methods (excluding HPLC and IC methods)?
you might consider sampling the headspace in a sealed vial containing the same volume of solutions of the acid/water mix. Use same total volume of water and add the same volume of each standard sample could be a multiple of say a 10 % acid to same volume of water to create the standard curve. Use the same volume of headspace samples for each unknown sample added to the same volume of water. If you want to use a internal standard in the water, you could use any compound which comes out near to but after the Acetic Acid peak.
Not sure why you want to exclude IC, since that is the best of the methods. You can use GC-FID with a highly polar phase (wax); you can directly inject water onto that column. FT-IR will certainly allow you to quantify the two acids if that is all you have in your sample.