Question

use the periodic table to complete each nuclear fusion equation.

a:

b:

c:

d:

e:

Explanation:

Step1: Calculate mass number for first equation

In nuclear reactions, mass number is conserved. For \(_{1}^{2}\text{H}+_{1}^{3}\text{H}\to_{B}^{A}\text{He}\), mass number on left - hand side: \(2 + 3=5\). So \(A = 5\).

Step2: Calculate atomic number for first equation

Atomic number is conserved. Atomic number on left - hand side: \(1+1 = 2\). So \(B = 2\).

Step3: Calculate mass number for second equation

For \(_{7}^{14}\text{N}+_{1}^{1}\text{H}\to_{D}^{C}\text{E}\), mass number on left - hand side: \(14 + 1=15\). So \(C = 15\).

Step4: Calculate atomic number for second equation

Atomic number on left - hand side: \(7+1 = 8\). From periodic table, element with atomic number \(8\) is oxygen (\(O\)). So \(D = 8\) and \(E=O\).

Answer:

A: \(5\)
B: \(2\)
C: \(15\)
D: \(8\)
E: \(O\)