An accurate det.ermination by t he electro motive-force m ethod of t he di ssoc iat ion constant of an acid as strong as t he first ac idi c g roup of phospho ric acid r eq uires t hat the hydrogen-ion concen t rat ion be estab li s hed wi t h greater accuracy than is usually attainable. The un cer tain quantity is t he activ ity coe ffi cie nt of hydrochloric acid in the particular mixture und e r st ud y. It is shown th at the calculation of this coefficient by t he DebyeHi.ickel eq uat ion , which afford s a n adequate estimate of the sma ll hydroge n-ion co rrection in buffer solut io ns com posed of weak acids, fa il s to y ield the desired accuracy for mixtures in whi ch the acid is dissocia ted to an a pprec iable exte nt. In order to determine t he common logari thm of t he first di ssociation co ns tan t of phos phoric acid wi t h an acc uracy be lie ved to be ± 0 .005 uni t, the hydrogen-io n concentra tion of some of t he buffer mixtlll'es s tud ied was kept at lo w levels by use of a la rge excess of potassium dihydrogen phos phate. Ot her so lu tions contain ed formic acid in stead of hyd roc hlo ric acid , the reby lowerin g the hyd rogen-ion concentration st ill further. In addit ion , p a r t icu lar attention was g ive n to a cho ice of reaso nable valu es fo r t he activity coefficient used to es t im ate t he hyd roge n-io n cOl'J'ection .By t hese m eans t he first di ssociatio n con stant, Ie , of phosphoric acid was calculated from e mf measure ments of 7] phosphate buffer sol ut io ns, togeth er ",ith supplementary data from th e lit e rature foJ' 18 add itional so lu tio n . The result from 0° to 60° C is g iven by -log [(1 = 79 ; ; 31 __ 1.5535 + 0.013486 T , \\'h ere T is th e temperat ure in °IC Th e changes of heat content, e ntl'Op.v , a lld heat capac it y foJ' thc di ssociat ion of 1 mo le of aqueous phospho ri c acid in t he sta nd a rd state were fOlilid to be -7,650 j, -66.8 j deg-I , and -154 j c1 eg-l , res pective ly , at 25° C.
Introdu ctionExperience has proved Lhat Lhe electromo tiveforce m ethod is well sui ted to the accura te determination of the dissociation constants of many weak acids and bases in aqueous solu tion . However, it is not gen erally r ecogniz ed that tbe accuracy obtainable by this method diminishes with increasing strength of the acid or base. I'Yh en approximately 10 percent or more of a weak acid is dissociated in solution, th e uncertain ty in establi shing th e tru e concen trations of the ionic and molecular species becom es so large that an exact determination of the dissociation con stant is no 'longer possible.Som e years ago th e author undertook to m easure the electromo tive force of a series of cells of the type Pt; H 2 (g, 1 atm) , KH2P04 (xm), H CI (m) AgCI; Ag (Cell 1) where m is molality, in an attemp t Lo extend the investigation of N ims [l jl Lo oLh er temperatures and buffer ratios. It was found to b e impossible to obtain an accura te value for th e first dissociation constant of phosphoric acid by analysis of t h e data for mixtur...