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Chapter 22: Problem 74

Several isotopes of arsenic are used in medical imaging. Which isotope, \(^{72}\) As or \(^{77}\) As, is more likely to be useful for PET imaging?

Short Answer

Expert verified
Answer: \(^{72}\)As

Step by step solution

01

Understand PET imaging and positron emission

Positron Emission Tomography (PET) is a nuclear medicine imaging technique that makes use of positron-emitting radionuclides. During the decay process, a positron is emitted, which is the antiparticle of an electron. When a positron encounters an electron, both particles annihilate, producing gamma photons. These gamma photons can then be detected by the PET scanner for imaging purposes.
02

Determine the decay modes of the isotopes

To determine which isotope would be more suitable for PET imaging, we need to find the decay modes for \(^{72}\)As and \(^{77}\)As. A reference such as a nuclear data table can be used to find this information. You may access online resources or your textbook for this purpose.
03

Compare the decay modes of the isotopes

From the nuclear data table, we can see that: - \(^{72}\)As decays by beta-plus decay (positron emission) with a decay energy of 6.61 MeV and a half-life of 26 hours. - \(^{77}\)As decays by electron capture with a decay energy of 1.50 MeV and a half-life of 38.8 hours.
04

Select the more suitable isotope for PET imaging

Based on the decay modes, \(^{72}\)As is the more suitable isotope for PET imaging, as it undergoes beta-plus decay (positron emission), which is required for PET imaging. On the other hand, \(^{77}\)As decays by electron capture, which does not involve the emission of positrons and therefore, is not suitable for PET imaging. In conclusion, \(^{72}\)As would be more likely to be useful for PET imaging, since it undergoes positron emission, which is the required decay mode for PET scan detection.

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