Chapter 3: Problem 34

Write nuclear symbols for isotopes of uranium that have the following numbers of neutrons. The atomic number of uranium is 92. \begin{equation} \begin{array}{l}{\text { a. } 142 \text { neutrons }} \\ {\text { b. } 143 \text { neutrons }} \\ {\text { c. } 146 \text { neutrons }}\end{array} \end{equation}

Short Answer

Expert verified

The nuclear symbols for the uranium isotopes with 142, 143, and 146 neutrons are \( ^{234}_{92}U \), \( ^{235}_{92}U \), and \( ^{238}_{92}U \) respectively.

Step by step solution

Deriving the Mass Number

The mass number can be derived by adding the atomic number (number of protons) to the given number of neutrons. This is done because the mass number is the sum of protons and neutrons in the nucleus. Do this for each isotope.

Nuclear Symbol for Isotope with 142 Neutrons

The mass number for this isotope is \( 92 (protons) + 142(neutrons) = 234 \). Therefore, the nuclear symbol for the uranium isotope with 142 neutrons is \( ^{234}_{92}U \).

Nuclear Symbol for Isotope with 143 Neutrons

The mass number for this isotope is \( 92 + 143 = 235 \). Therefore, the nuclear symbol for the uranium isotope with 143 neutrons is \( ^{235}_{92}U \).

Nuclear Symbol for Isotope with 146 Neutrons

The mass number for this isotope is \( 92 + 146 = 238 \). Therefore, the nuclear symbol for the uranium isotope with 146 neutrons is \( ^{238}_{92}U \).

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Short Answer

Step by step solution

Deriving the Mass Number

Nuclear Symbol for Isotope with 142 Neutrons

Nuclear Symbol for Isotope with 143 Neutrons

Nuclear Symbol for Isotope with 146 Neutrons

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