The isotope cobalt-60 has a nuclear mass of 59.933820 u. Calculate the mass defect of cobalt-60 using the following information: Mass of Proton: 1.007825 u Mass of Neutron: 1.008665 u 1 u = 931.5 MeV
Radioactive decay
The emission of energy to produce ionizing radiation is known as radioactive decay. Alpha, beta particles, and gamma rays are examples of ionizing radiation that could be released. Radioactive decay happens in radionuclides, which are imbalanced atoms. This periodic table's elements come in a variety of shapes and sizes. Several of these kinds are stable like nitrogen-14, hydrogen-2, and potassium-40, whereas others are not like uranium-238. In nature, one of the most stable phases of an element is usually the most prevalent. Every element, meanwhile, has an unstable state. Unstable variants are radioactive and release ionizing radiation. Certain elements, including uranium, have no stable forms and are constantly radioactive. Radionuclides are elements that release ionizing radiation.
Artificial Radioactivity
The radioactivity can be simply referred to as particle emission from nuclei due to the nuclear instability. There are different types of radiation such as alpha, beta and gamma radiation. Along with these there are different types of decay as well.
![**Title: Understanding Mass Defect Calculation of Cobalt-60 Isotope**
**Objective:**
Calculate the mass defect of the isotope cobalt-60 using the given information.
**Given Information:**
- The nuclear mass of cobalt-60: 59.933820 u
- Mass of proton: 1.007825 u
- Mass of neutron: 1.008665 u
- Conversion factor: 1 u = 931.5 MeV
**Procedure:**
1. **Calculate the Theoretical Mass:**
- Cobalt-60 contains 27 protons and 33 neutrons.
- Calculate the total mass of the protons:
\[
\text{Mass of protons} = 27 \times 1.007825 \text{ u}
\]
\[
\text{Mass of protons} = 27.210275 \text{ u}
\]
- Calculate the total mass of the neutrons:
\[
\text{Mass of neutrons} = 33 \times 1.008665 \text{ u}
\]
\[
\text{Mass of neutrons} = 33.285945 \text{ u}
\]
- Sum the masses to get the total theoretical mass:
\[
\text{Theoretical mass} = 27.210275 \text{ u} + 33.285945 \text{ u}
\]
\[
\text{Theoretical mass} = 60.496220 \text{ u}
\]
2. **Calculate the Mass Defect:**
- Subtract the given nuclear mass of cobalt-60 from the theoretical mass:
\[
\text{Mass defect} = \text{Theoretical mass} - \text{Nuclear mass}
\]
\[
\text{Mass defect} = 60.496220 \text{ u} - 59.933820 \text{ u}
\]
\[
\text{Mass defect} = 0.562400 \text{ u}
\]
3. **Convert Mass Defect to Energy (MeV):**
- Use the conversion factor to convert mass defect to energy:
\[
\text{Energy} = \text{Mass defect} \times 931.5 \text{](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13edd89d-bc6e-4f0f-b4f9-b3f058b9bae6%2F0e72466d-4a11-4e0a-912a-6e547351af60%2Fotruf1_processed.png&w=3840&q=75)
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