Is the following nuclear equation balanced?

[tex]\[ \frac{226}{88} \text{Ra} \rightarrow \frac{222}{86} \text{Rn} + \frac{4}{2} \text{He} \][/tex]

A. Yes

B. No



Answer :

To determine if the given nuclear equation is balanced, we need to check both the mass numbers and atomic numbers on each side of the equation.

The equation is:
[tex]\[ \frac{226}{88} Ra \rightarrow \frac{222}{86} Rn + \frac{4}{2} He \][/tex]

1. Check the mass numbers:

[tex]\[ \text{Mass number on the left side} = 226 \][/tex]

[tex]\[ \text{Mass number on the right side} = 222 + 4 = 226 \][/tex]

The mass numbers on both sides are equal (226 = 226).

2. Check the atomic numbers:

[tex]\[ \text{Atomic number on the left side} = 88 \][/tex]

[tex]\[ \text{Atomic number on the right side} = 86 + 2 = 88 \][/tex]

The atomic numbers on both sides are equal (88 = 88).

Since both the mass numbers and atomic numbers are balanced on both sides of the equation, the nuclear equation is balanced.

So, the answer to the question is:

Yes