Chapter 30.1, Problem 1PP

To determine

To calculate: Numberof neutrons in nucleus of each isotope of uranium.

Answer to Problem 1PP

Number of neutrons in nucleus in each isotope of uranium is $\text{142,143,146}$ .

Explanation of Solution

Given:

Atomic Mass of Uranium $\left(A\right)=234$

Atomic Mass of Uranium $\left(A\right)=235$

Atomic Mass of Uranium $\left(A\right)=238$

Formula Used:

Number of Neutrons $=A-Z$

Where,

  $A$ : Atomic mass number

  $Z$ : Atomic number

Calculation:

Number of neutrons in nucleus in each isotope of uranium can be calculated as,

For Uranium $U$ ,

Atomic Mass of Uranium $\left(A\right)U=234$

Atomic number $\left(Z\right)=92$

Substituting the values in formula,Number of Neutrons $=A-Z$

  $\begin{array}{l}=A_1-Z\\ =234-92\\ =142\end{array}$

For Uranium $U$ ,

Atomic Mass of Uranium $\left(A\right)U=235$

Atomic number $\text{(Z)=92}$

Substituting the values in formula,Number of Neutrons $=A-Z$

  $\begin{array}{l}=A_2-Z\\ =235-92\\ =143\end{array}$

For Uranium $U$ ,

Atomic Mass of Uranium $\left(A_3\right)U=238$

Atomic number $\left(Z\right)=92$

Substituting the values in formula,Number of Neutrons $=A-Z$

  $\begin{array}{l}=A_3-Z\\ =238-92\\ =146\end{array}$

Conclusion:

Number of neutrons in nucleus in each isotope of uranium is $\text{142,143,146}$ .