To fill in the missing information for Samarium-153 in the provided table, we will step through the identifying characteristics of the isotope.
1. Isotope Name: Samarium-153 is provided as the isotope we are analyzing.
2. Atomic Number: The atomic number of Samarium (Sm) is known to be 62. This is because each element on the periodic table has a unique atomic number, which represents the number of protons in the nucleus of an atom of the element.
3. Mass Number: The mass number of an isotope is the sum of the protons and neutrons in its nucleus. For Samarium-153, the mass number is given directly in the name of the isotope: 153.
4. Number of Protons: The number of protons in an atom is the same as its atomic number. Thus, Samarium-153 has 62 protons.
5. Number of Neutrons: To find the number of neutrons in the isotope, subtract the atomic number from the mass number. For Samarium-153, this is:
[tex]\[
\text{Number of neutrons} = \text{Mass number} - \text{Atomic number} = 153 - 62 = 91
\][/tex]
6. Isotope Symbol: The isotope symbol is written with the atomic number as a subscript, the mass number as a superscript, and the chemical symbol of the element. For Samarium-153, the isotope symbol is:
[tex]\[
{}_{62}^{153}\text{Sm}
\][/tex]
Now we can fill in the missing information for Samarium-153 in the table:
[tex]\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline
Isotope name & Atomic number & Mass number & Number of protons & Number of neutrons & Isotope symbol \\
\hline
xenon-133 & 54 & 133 & 54 & 79 & {}_{54}^{133}\text{Xe} \\
\hline
selenium-75 & 34 & 75 & 34 & 41 & {}_{34}^{75}\text{Se} \\
\hline
Samarium-153 & 62 & 153 & 62 & 91 & {}_{62}^{153}\text{Sm} \\
\hline
\end{tabular}
\][/tex]
This provides a detailed and accurate filling of the table based on the given isotope properties for Samarium-153.
