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Instrumental Analysis – Midterm 1 Questions with Verified Answers – Chapters 1, 6, 7, 13, and 14: Light, Spectroscopy, and Instrumentation Calculations

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This document presents an extensive and verified set of Midterm 1 questions for Instrumental Analysis, based on material from Chapters 1, 6, 7, 13, and 14. It includes conceptual and quantitative problems covering topics such as grating calculations, wavelength and frequency, absorbance and transmittance, photoelectric effect, signal processing, data domains, and the function of various transducers. It also features circuit problems, monochromator design, resolution calculations, and standard addition analysis, making it a complete study tool for mastering spectroscopy, optics, and foundational instrumentation.

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Uploaded on
June 6, 2025
Number of pages
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Written in
2024/2025
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Instrumental Analysis Midterm 1 (Ch 1,6,7,13,14)
questions with verified answers
A grating is 25 mm long and has 600 lines/mm. Calculate:
a) the distance between grooves
b) the total number of grooves for the grating
c) the resolving power assuming second order diffraction
d) assuming a center wavelength of 550, the minimum wavelength
separation associated with this resolving power Ans✓✓✓ See 3-5.


A grating monochromator with a reciprocal linear dispersion of 1.2
nm/mm is to be used to separate the sodium lines at 588.9950 nm and
589.5924 nm. In theory, what slit width would be required? Ans✓✓✓
See example 7-2.


A grating reflects first order light at 500 nm. The difference in two
wavelengths that can be detected using this grating is 0.010 nm. What
is the resolution of this monochromator? (note that resolution is a
unitless quantity) Ans✓✓✓ Resolution = lambda/delta lambda = 500
nm/0.010 nm = 50,000


A least squares analysis of calibration data for the determination of
lead based on its flame emission yielded the equation
S= 1.12Cpb + 0.312
where Cpb is the lead concentration in ppm and S is a measure of the
relative intensity of the lead emission line.

, Concentration (ppm Pb): 10.0, 1.00, 0.00
# of Replications: 10, 10, 24
Mean Value of S: 11.62, 1.12, 0.0296
s: 0.15, 0.025, 0.0082


Calculate:
a) the calibration sensitivity
b) the analytical sensitivity at 1 and 10 ppm of Pb
c) the detection limit Ans✓✓✓ See example 1-2.


A particular method for the analysis of copper yields the results that are
low by 0.5 mg. What will be the percent relative error due to this
source is the weight of copper in a sample is...
a) 25 mg
d) 500 mg Ans✓✓✓ See a 1-3.


A solution that was 4.14x10-3 M in X had a transmittance of 0.126
when measured in a 2.00 cm cell. What concentration of X would be
required for the transmittance to be increased by a factor of 3 when a
1.00 cm cell was used? Ans✓✓✓ See 6-18.


An echellette grating that contains 1450 blazes/mm was irradiated with
a polychromatic beam at an incident angle 48 degrees to the grating

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