Step-by-step explanation:
Given parameters:
Isotope ;
Si - 28
²⁸₁₄Si;
The specie undergoes an alpha decay; An alpha particle resembles a helium atom;
²⁸₁₄Si → ⁴₂He + ?
In nuclear reactions, the mass and atomic numbers are usually conserved;
So let specie unknown be denote as X
ᵃₙX;
²⁸₁₄Si → ⁴₂He + ᵃₙX
Sum of the mass number on the reactant side must equal to that on the product side;
28 = 4 + a
28 - 4 = a
a = 24 mass number of X;
14 = 2 + n
n = 14 - 2 = 12 atomic number of X;
Now, the species X with an atomic number of 12 is magnesium
Symbol is Mg
Mass number = 24