Show sample calculation for K_ap and in K_ap using data point 1 Use Excel to plo

Question

Show sample calculation for K_ap and in K_ap using data point 1 Use Excel to plot a graph of In K_ap (y-axis) vs. 1/T (x-axis). Use the "Add Trendline" feature to draw a straight line through the five data points. The equation of the straight line should be shown on the graph along with the value of R^2. (If one of the data points does not lie on the line, remove it and re-do the straight line, the equation, and R^2.) Equation of the straight line Enthalpy of dissolution. DeltaH^degree Show calculation: kJ/mol Entropy of dissolution, DeltaSdegree Show calculation. J/mol/K

Explanation / Answer

We know

G0 = -RTlnKsp ===> lnKsp = -G0/RT

and G0 = H0 – TS0

Comparing the two equations,

lnKsp = -H0/R.(1/T) + S0/R

The above gives the equation of the straight line of lnKsp vs (1/T). The slope is H0/R and the intercept is S0/R.

Comparing this equation with the one you obtained, we have,

12889 = H0/R

or, H0 = (12889 * 8.314) J/mol

or, H0 = 107.16 kJ/mol

Again, 39.362 = S0/R

or, S0 = (39.362 * 8.314) J/mol.K

or, S0 = 327.26 J/mol.K

The test temperature is 25°C = 298K. Using the values of H0 and S0, we obtain

G0 = 107.16 kJ/mol – (298 K)(327.26 J/mol.K) = (107.16 – 97.52) kJ/mol = 9.64 kJ/mol

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