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Using the Thermodynamic Data Provided Below, Calculate Ka1 for H2CO3(aq) \circ

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Using the thermodynamic data provided below, calculate Ka1 for H2CO3(aq) at 25 \circ . ΔHf(kJ/mol) S(J/K mol) H+(aq) 00H2CO3(aq) 698.7191HCO3(aq) 691.1195.0CO32(aq) 676.2653.1\begin{array}{|l|l|c|}\hline & \Delta \mathrm{H}_{\mathrm{f}}^{\circ}(\mathrm{kJ} / \mathrm{mol}) & \mathrm{S}^{\circ}(\mathrm{J} / \mathrm{K} \cdot \mathrm{~mol}) \\\hline \mathrm{H}^{+}(a q) & 0 & 0 \\\hline \mathrm{H}_{2} \mathrm{CO}_{3}(a q) & -698.7 & 191 \\\hline \mathrm{HCO}_{3}^{-}(a q) & -691.11 & 95.0 \\\hline \mathrm{CO}_{3}^{2-}(a q) & -676.26 & -53.1 \\\hline\end{array}


Definitions:

Residuals

Differences between observed and predicted values of data in statistical models, indicating the error in predictions.

Normally Distributed

A statistical distribution depicting data that is evenly spread out across the mean, showing the predictable variability of values.

Regression Analysis

A statistical method for examining the relationship between a dependent variable and one or more independent variables.

Index

A method or system for ordering or categorizing objects or data, often used in reference to databases, stock markets, or economic indicators.

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