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Chapter 3: Problem 96

The mass number of a \(2+\) cation is 56 , and its atomic number is 26 . The ion contains how many protons, electrons, and neutrons?

Short Answer

Expert verified
The 2+ cation with a mass number of 56 and an atomic number of 26 contains 26 protons, 30 neutrons, and 24 electrons.

Step by step solution

01

Understanding the terms

Mass number (A) represents the sum of protons and neutrons in an atom, while atomic number (Z) represents the number of protons in an atom. A cation is an atom with a positive charge, which means it has lost electrons. In this exercise, we have: - Mass number (A) = 56 - Atomic number (Z) = 26 - Charge of ion = 2+ We need to find the number of protons, electrons, and neutrons for this cation.
02

Find the number of protons

In an atom, the number of protons is equal to the atomic number. In this case, the atomic number is given (Z = 26), so the ion contains 26 protons.
03

Find the number of neutrons

The mass number is the sum of protons and neutrons in an atom (A = protons + neutrons). We already know the mass number (A = 56) and the number of protons (26). Therefore, we can calculate the number of neutrons as follows: Neutrons = Mass number - Number of protons = A - Z = 56 - 26 = 30 So, the ion contains 30 neutrons.
04

Find the number of electrons

In a neutral atom, the number of electrons is equal to the number of protons. However, this ion has a charge of 2+, which means it has lost two electrons. To find the number of electrons in the ion, we need to subtract the charge of the cation from the number of protons: Electrons = Number of protons - Charge of ion = 26 - 2 = 24 The ion contains 24 electrons. In conclusion, the given 2+ cation with a mass number of 56 and an atomic number of 26 contains 26 protons, 30 neutrons, and 24 electrons.

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