< Question 21 of 46 What is the atomic number for an element whose mass number is 78, which contains 50 neutrons per atom?

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Understanding Atomic Number and Mass Number**

**Question:**  
What is the atomic number for an element whose mass number is 78, which contains 50 neutrons per atom?

**Explanation:**

To find the atomic number of an element given its mass number and the number of neutrons, we can use the following relationship:

\[ \text{Mass Number} = \text{Number of Protons} + \text{Number of Neutrons} \]

In this case, we know:
- Mass Number = 78
- Number of Neutrons = 50

Let's denote the number of protons (which is the atomic number) as \( Z \).

From the equation, we can find:
\[ 78 = Z + 50 \]

Solving for \( Z \),
\[ Z = 78 - 50 \]
\[ Z = 28 \]

Therefore, the atomic number \( Z \) is 28.

**Interactive Solution Interface:**

The image contains an interactive interface for solving the problem, featuring a numeric keypad with the digits 0-9 and basic arithmetic operations. There are buttons for clearing the input ('C') and a 'Submit' button to submit the answer. This type of interface allows students to input their calculations and answers directly.

Remember, understanding the relationship between mass number, atomic number, and the number of neutrons is crucial in identifying elements and solving related problems in chemistry.
Transcribed Image Text:**Understanding Atomic Number and Mass Number** **Question:** What is the atomic number for an element whose mass number is 78, which contains 50 neutrons per atom? **Explanation:** To find the atomic number of an element given its mass number and the number of neutrons, we can use the following relationship: \[ \text{Mass Number} = \text{Number of Protons} + \text{Number of Neutrons} \] In this case, we know: - Mass Number = 78 - Number of Neutrons = 50 Let's denote the number of protons (which is the atomic number) as \( Z \). From the equation, we can find: \[ 78 = Z + 50 \] Solving for \( Z \), \[ Z = 78 - 50 \] \[ Z = 28 \] Therefore, the atomic number \( Z \) is 28. **Interactive Solution Interface:** The image contains an interactive interface for solving the problem, featuring a numeric keypad with the digits 0-9 and basic arithmetic operations. There are buttons for clearing the input ('C') and a 'Submit' button to submit the answer. This type of interface allows students to input their calculations and answers directly. Remember, understanding the relationship between mass number, atomic number, and the number of neutrons is crucial in identifying elements and solving related problems in chemistry.
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