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Question 9 of 15
What is the atomic number for an element whose mass number is 78 , which contains 38 neutrons per atom?
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Question 9 of 15
What is the atomic number for an element whose mass number is 78 , which contains 38 neutrons per atom?
Solution
Solution Steps
Step 1: Understanding the Relationship Between Atomic Number, Mass Number, and Neutrons
The mass number (A) of an element is the sum of its protons (atomic number, Z) and neutrons (N). This relationship can be expressed as:
\[ A = Z + N \]
Step 2: Identifying Given Values
We are given:
Mass number \( A = 78 \)
Number of neutrons \( N = 38 \)
Step 3: Solving for the Atomic Number
Using the relationship \( A = Z + N \), we can solve for the atomic number \( Z \):
\[ Z = A - N \]
Substituting the given values:
\[ Z = 78 - 38 \]
\[ Z = 40 \]