Question

Difficulty: MediumSubatomic Particles, Atomic Number, Mass Number, and Isotopy

A tripositive ion, X3+X^{3+}, has a mass number of 5656 and contains 2323 electrons. How many neutrons are present in the nucleus of an atom of element XX?

Answer: 30

Answer

30
To find the number of neutrons, first determine the atomic number (number of protons) of element XX. The ion X3+X^{3+} carries a +3+3 charge because it lost 3 electrons. Since X3+X^{3+} has 23 electrons, the neutral atom XX has 23+3=2623 + 3 = 26 electrons, which means it has 26 protons. The mass number (A=56A = 56) is the sum of protons (ZZ) and neutrons (NN). Thus, N=5626=30N = 56 - 26 = 30.

Step-by-Step Solution

1
Determine the atomic number (number of protons) of element XX
Protons (ZZ) = 26
The tripositive ion X3+X^{3+} has lost 3 electrons. The neutral atom has 23+3=2623 + 3 = 26 electrons, which equals its proton count.
2
Calculate the number of neutrons
Neutrons (NN) = 30
Subtract the atomic number from the mass number: N=AZ=5626=30N = A - Z = 56 - 26 = 30.

Key Concept

Calculation of subatomic particles in ions using atomic number and mass number relationships
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