Equations and transformations of the dissolution equilibrium of carbon dioxide and dissociation equilibrium of carbonic acid components and water (re-review)

Re-write Equations (1) through (8) so far.

Equations (6)-(8) are the equations for 【each carbonic acid component】 = (K1, K2, 【H⁺】 equations) x 【DIC】.

Since Equations (7)-(8) are just above-contained b, let us substitute b from Equation (6).

The equation is complex, so please organize where there are fractions in the fractional equation.

Let the rearranged equations be the new Equations (6)-(8).

An organized example is noted below.

【HCO₃-】 = K1・【H⁺】・【DIC】/ (【H⁺】² + K1【H+】 + K1K2) 　Equations (6)

【CO₃2-】  = K1・K2・【DIC】/ (【H⁺】² + K1【H⁺】 + K1K2) 　　　Equations (7)

【H₂CO₃】 = 【H⁺】²・【DIC】/ (【H⁺】² + K1【H⁺】 + K1K2) 　Equations (8)

In the developmental questions, we will use Equations (6)-(8) and the definitions of DIC and alkalinity to formulate the relationship between pH, DIC, pCO₂, and alkalinity. Therefore, it is most important to be able to derive equations (6)-(8).