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Ch.2 - Atoms, Molecules, and Ions
Chapter 2, Problem 40a

Massspectrometry is more often applied to molecules than to atoms. We will see in Chapter 3 that the molecular weight of a molecule is the sum of the atomic weights of the atoms in the molecule. The mass spectrum of H2 is taken under conditions that prevent decomposition into H atoms. The two naturally occurring isotopes of hydrogen are 1H (atomic mass = 1.00783 amu; abundance 99.9885%) and 2H (atomic mass = 2.01410; abundance 0.0115%). (a) How many peaks will the mass spectrum have?

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Step 1: Understand the problem. The problem is asking how many peaks will be seen in the mass spectrum of H2. The mass spectrum is a graph showing the mass-to-charge ratio on the x-axis and the relative abundance on the y-axis. Each peak in the spectrum represents a different isotope of the element.
Step 2: Identify the isotopes of hydrogen. The problem states that there are two naturally occurring isotopes of hydrogen: 1H and 2H.
Step 3: Consider the possible combinations of these isotopes in a H2 molecule. The H2 molecule could consist of two 1H atoms, two 2H atoms, or one of each.
Step 4: Each different combination of isotopes will result in a different mass for the H2 molecule, and therefore a different peak in the mass spectrum.
Step 5: Therefore, the mass spectrum of H2 will have three peaks, one for each possible combination of isotopes: 1H-1H, 1H-2H, and 2H-2H.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Mass Spectrometry

Mass spectrometry is an analytical technique used to measure the mass-to-charge ratio of ions. It provides information about the molecular weight and structure of compounds by generating a mass spectrum, which displays the abundance of ions at different mass-to-charge ratios. In the context of molecules, it helps identify the presence of different isotopes and molecular fragments.
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Isotopes

Isotopes are variants of a chemical element that have the same number of protons but different numbers of neutrons, resulting in different atomic masses. For hydrogen, the two isotopes are protium (¹H) and deuterium (²H). The presence of isotopes in a sample affects the mass spectrum, as each isotope will produce a distinct peak corresponding to its mass.
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Mass Spectrum Peaks

In a mass spectrum, each peak represents a different ion detected by the mass spectrometer, corresponding to specific mass-to-charge ratios. The number of peaks is influenced by the isotopes present in the sample and their relative abundances. For the hydrogen molecule (H₂), the mass spectrum will show peaks for both isotopes, indicating the molecular composition and the presence of H₂ and its isotopic variants.
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Electromagnetic Spectrum