   # The mass of an atom of manganese is 54.9380 u. How many neutrons are contained in one atom of this element? (a) 25 (b) 29 (c) 30 (d) 55 ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2.2, Problem 1RC
Textbook Problem
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## The mass of an atom of manganese is 54.9380 u. How many neutrons are contained in one atom of this element? (a) 25 (b) 29 (c) 30 (d) 55

Interpretation Introduction

Interpretation: the number of neutrons contained in manganese atom is to be identified from the given options if the mass is 54.9380u.

Concept introduction:

The atomic number of manganese is 30.

For an atom the atomic number represents the number of protons or the number of electrons present in it.

Mass of an atom is the sum of the mass of protons and mass of neutrons in it which is together called as nucleons.

Mass of a proton in atomic mass unit is 1.007276 u.

Mass of a neutron in atomic mass unit is 1.008665 u.

### Explanation of Solution

The atomic mass of manganese is given as 54.9380u

The atomic number for manganese is 25. So, the number of proton is 25.

Mass of a proton in atomic mass unit is 1.007276 u.

Mass of 25 protons in manganese in atomic unit is 25×1.007276u=25.1819u

Mass of an atom is the sum of the mass of protons and mass of neutrons in it.

Therefore,

The mass of neutrons in the manganese is,

54.9380u25.1819u=29.7561u

Mass of a neutron in atomic mass unit is 1

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