Home / AP Chemistry 3.11 Spectroscopy and the Electromagnetic Spectrum – FRQs

AP Chemistry 3.11 Spectroscopy and the Electromagnetic Spectrum - FRQs- New Syllabus

Question

A student wants to determine the concentration of permanganate, \( \mathrm{MnO_4^-}(aq) \), in a solution. The student plans to use colorimetric analysis because solutions containing \( \mathrm{MnO_4^-}(aq) \) have a purple color.
(a) To determine the optimum wavelength for an experiment that measures the concentration of \( \mathrm{MnO_4^-}(aq) \), the student takes a sample of the solution and measures the amount of light absorbed by the sample over a range of wavelengths. The data are plotted in the graph shown. Identify the optimum wavelength that the student should use for the experimental procedure.
(b) The student uses a stock solution of \( 2.40 \times 10^{-3}\ \mathrm{M\ KMnO_4}(aq) \) to prepare the standard solutions of \( \mathrm{MnO_4^-}(aq) \) that are needed to construct a calibration curve.(i) The student uses a \( 100.0\ \mathrm{mL} \) graduated cylinder to measure a certain volume of \( \mathrm{KMnO_4}(aq) \) stock solution, as shown in the diagram given. What volume should the student record?
(ii) Calculate the volume, in \( \mathrm{mL} \), of \( 2.40 \times 10^{-3}\ \mathrm{M\ KMnO_4}(aq) \) that is required to produce \( 100.0\ \mathrm{mL} \) of a standard \( 1.68 \times 10^{-3}\ \mathrm{M\ MnO_4^-}(aq) \) solution.
The student designs the following procedure to produce a calibration curve.
Step \( 1 \): Prepare several standard solutions that have known \( \mathrm{MnO_4^-}(aq) \) concentrations by dilution of the stock solution.
Step \( 2 \): Rinse the cuvette with distilled water.
Step \( 3 \): Rinse the cuvette with the standard solution and fill the cuvette with the standard solution.
Step \( 4 \): Measure the absorbance of the standard solution with the colorimeter.
Step \( 5 \): Repeat steps \( 2 \)-\( 4 \) for each of the standard solutions.
The data are plotted in the calibration curve shown. One of the data points (indicated with an arrow) on the calibration curve is below the line of best fit.
(c) Assuming that all lab equipment is functioning properly, identify which one of the procedural steps the student could have executed incorrectly that would explain why the marked data point is below the line of best fit. Justify your answer.

Most-appropriate topic codes (AP Chemistry):

• Topic \( 3.11 \) — Spectroscopy and the Electromagnetic Spectrum (Part \( \mathrm{(a)} \))
• Topic \( 3.13 \) — Beer-Lambert Law (Part \( \mathrm{(c)} \))
• Topic \( 3.7 \) — Solutions and Mixtures (Part \( \mathrm{(b)(ii)} \), Part \( \mathrm{(c)} \))
• Topic \( 2.3 \) — Structure of Ionic Solids (Part \( \mathrm{(b)(i)} \), reading measurement from lab glassware)
▶️ Answer/Explanation

(a)
For the correct answer:
\( 525\ \mathrm{nm} \)

The best wavelength is the one with the highest absorbance, because that gives the strongest signal and the most sensitive concentration measurement.

(b)(i)
For the correct answer:
\( 92.0\ \mathrm{mL} \)

The liquid level should be read at the bottom of the meniscus. In the magnified scale, the meniscus is at \( 92.0\ \mathrm{mL} \).

(b)(ii)
For the correct calculated value:
\( V_1 = \dfrac{M_2V_2}{M_1} = \dfrac{(1.68 \times 10^{-3}\ \mathrm{M})(100.0\ \mathrm{mL})}{2.40 \times 10^{-3}\ \mathrm{M}} = 70.0\ \mathrm{mL} \)

This is a dilution problem, so use \( M_1V_1 = M_2V_2 \).
Therefore, the required stock-solution volume is \( \boxed{70.0\ \mathrm{mL}} \).

(c)
For the correct answer and a valid justification:
The student could have improperly executed step \( 3 \). If the cuvette was not rinsed with the standard solution prior to being filled for the measurement of absorbance, the standard solution would be diluted by the remaining distilled water, and the absorbance would be lower than what it should be.

Since the marked point is below the best-fit line, its measured absorbance is too small for its stated concentration. A little leftover water in the cuvette would cause exactly that.

Scroll to Top