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Mathematical Skills in Chemistry

Reading spectra and kinetics graphs

  • 1 thing to know
  • Components 01, 02 and 03

Overview

Recall questions on the axes of a mass spectrum and an infrared spectrum, the integration trace, and reading order from a kinetics graph.

What you need to know

Answer each one before you reveal it.

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Numbers

What are the axes of a mass spectrum and of an infrared spectrum, and what does a strong absorption near 1700 cm⁻¹ suggest?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What are the two axes of a mass spectrum, and how is a relative atomic mass obtained from it?

    Model answer

    The horizontal axis is mass/charge ratio and the vertical axis is relative abundance; the relative atomic mass is the mean of the isotope masses weighted by their abundances.

  2. 2

    What are the axes of an infrared spectrum, and what does a strong absorption near 1700 cm⁻¹ suggest?

    Model answer

    The horizontal axis is wavenumber in cm⁻¹ and the vertical axis is transmittance; a strong absorption near 1700 cm⁻¹ indicates a carbonyl group.

  3. 3

    What information does the integration trace of a proton NMR spectrum give?

    Model answer

    The relative areas under the peaks give the ratio of the numbers of hydrogen atoms in each chemical environment.

  4. 4

    How can the order of a reaction with respect to a species be read from a rate–concentration graph?

    Model answer

    A horizontal line shows zero order, a straight line through the origin shows first order, and an upward curve shows second order.

  5. 5

    How does the shape of a concentration–time graph distinguish a zero-order from a first-order reaction?

    Model answer

    A zero-order reaction gives a straight line of constant gradient, whereas a first-order reaction gives a curve with a constant half-life.

  6. 6

    A reaction is first order in A and zero order in B. State the rate equation and the units of k.

    Model answer

    The rate equation is rate = k[A], and k has units of s⁻¹.

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