Lithium carbonate (Li₂CO_3(s)) dissolution reaction thermodynamic constant temperature dependency (with both van't Hoff equation and polynomial)

Reaction

$$\ce{Li2CO3_{(s)} <=> 2~Li+ + CO3^2-} \qquad K(T)$$

Database snippet

PHASES
Li2CO3(s)                 # "(s)" for solid   
Li2CO3 = 2 Li+ + CO3-2
-log_k -3.089
-delta_h -16.058          # kJ/mol
-analytical_expression -8.476369E+00	-1.771709E-02	1.248109E-03	4.226744E+00	-9.951211E-03	-1.485941E-06

The six coefficients behind -analytical_expression were obtained by fitting between 0 and 300 °C \(\log K(T)\) values, themselves calculated from \(\Delta H_r^0(T)\) and \(\Delta S_r^0(T)\), themselves calculated from data in the sources below.

Comparison of K values obtained from the van’t Hoff equation, \(\Delta H_r^0(T)\) and \(\Delta S_r^0(T)\), and literature (Mamontov and Gorbachev, 2021), from 0 to 300 °C

Data source