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Urgent!! %CO2 solution preparation I struggle with

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Hi, I have a doubt about making an equivalent %co2 solution with sodium carbonate. I have attached the reference equation quoted in the research article. If anyone knows how to derive the equation kindly help me. How 1.3g/L of Na2CO3 came for 5% Co2 solution and help me to find out for 50% co2. I have doubt in this derivation.

***reference***

pH=6.30+log [ HCO3− ] −log [ CO2]

pH=10.09+log [ CO3 2- ] −log [ HCO3-]

The values of sodium carbonate concentrations corresponding to 5%, 10%, 15%, 20% and 30% CO2 concentrations at pH 7 are 1.3 g/L, 2.6 g/L, 3.8 g/L, 5.1 g/L, and 7.6 g/L, respectively.

****reference***

Any one kindly help me as soon as possible.... thanks in advance.

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