私立中原大學八十九學年度博士班招生考試命題紙

所組別:化學學系 科目:分析化學 考試時間:6月14日第2節

請正確且詳盡的書寫解題或計算過程,以便能得完整分數

1. (i) Derive an equation to yield the value of [H3O+] for amphiprotic salts NaHA.
(ii) Calculate the pH of the first equivalence point for the titration of 25.00 mL of 0.1000 M maleic acid, HOOC- CH=CH- COOH, with 0.1000 M NaOH.Note: Ka1 = 1.3 ´ 10-2; Ka2 = 5.9 ´ 10-7 (20 points)

2. The equilibrium constant for the conjugate acid/base pair is
    
From the additional information,

Absorption Maximum

Molar Absorptivity

Species nm 430 nm 600 nm
HIn 430 8.04 ´ 103 1.23 ´ 103
In-  600 0.775 ´ 103 6.96 ´ 103
(i) calculate the absorbance at 430 nm and 600 nm for the following indicator concentrations: 3.00 ´ 10-4 M, 2.00 ´ 10-4 M, 1.00 ´ 10-4 M, 0.500 ´ 10-4 M, and 0.250 ´ 10-4 M.
(ii) plot absorbance as a function of indicator concentration. What do you conclude from this plot? (35 points)

3. Ten-millimeter aliquots of a natural water sample were pipetted into 50.00 mL volumetric flasks. Exactly 0.00, 5.00, 10.00, 15.00, and 20.00 mL of a standard solution containing 11.1 ppm of Fe3+ were added to each, followed by an excess of thiocyanate ion to give the red complex Fe(SCN)2+. After dilution to volume, absorbances for the five solutions, measured with a photometer equipped with a green filter, were found to be 0.240, 0.437, 0.621, 0.809, and 1.009 respectively (0.982 cm cells). (45 points)
(i) What was the concentration of Fe3+ in the water sample?
(ii) Calculate the standard deviation of the slope, the intercept, and the concentration of Fe3+.
Note: (1) To find the sloe and intercept of a linear equation y = mx + b, you may use the following formulas

(2) The standard deviation Sy of the residuals:
The standard deviation of the sllope:
The standard deviation of the intercept:

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