Concept:
Atomic Number (Z) = Number of protons (P).
Mass Number (A) = Number of protons (P) + Number of neutrons (N).
For a neutral atom, Number of electrons (E) = Number of protons (P).
For an ion, the number of electrons changes:
Positive ion (cation, like Y\(^+\)): Formed by losing electrons. E = P - (charge).
Negative ion (anion): Formed by gaining electrons. E = P + |charge|.
Step 1: Identify given information for element Y
Atomic number of Y (Z) = 19.
Mass number of Y (A) = 39.
We are interested in the ion Y\(^+\).
Step 2: Determine the number of protons (P)
The atomic number is equal to the number of protons.
P = Z = 19.
(The element with Z=19 is Potassium, K).
Step 3: Determine the number of neutrons (N)
Mass Number (A) = Protons (P) + Neutrons (N).
So, Neutrons (N) = Mass Number (A) - Protons (P).
N = \(39 - 19 = 20\).
Number of neutrons = 20.
Step 4: Determine the number of electrons (E) in the ion Y\(^+\)
First, consider a neutral atom of Y. In a neutral atom, Number of electrons = Number of protons = 19.
The ion is Y\(^+\), which means it has a charge of +1. A positive charge indicates that the atom has lost one electron.
Number of electrons in Y\(^+\) = (Number of electrons in neutral Y) - (Number of electrons lost)
Number of electrons in Y\(^+\) = \(19 - 1 = 18\).
Step 5: Summarize the results for Y\(^+\)
Electrons (E) = 18
Protons (P) = 19
Neutrons (N) = 20
This matches option (2).
(Option (1) E=19, P=19, N=20 would be correct for a neutral atom Y, not the ion Y\(^+\)).