# Question #776cd

Sep 16, 2017

Here's how to balance nuclear equations.

#### Explanation:

The main point to remember is that the sums of the superscripts and the sums of the subscripts must be the same on each side of the equation.

Equation 1

$\text{_6^12"C" + ""_6^12"C" → ""_x^y"Z}$

Sum of superscripts: $12 + 12 = y$, so $y = 24$.

Sum of subscripts: $6 + 6 = x$, so $x = 12$.

$x$ is the atomic number of the element, and element 12 is magnesium.

∴ The nuclear equation is

$\text{_6^12"C" + ""_6^12"C" → ""_12^24"Mg}$

Equation 2

$\text{_6^12"C" + ""_6^12"C" → ""_12^23"Mg" + ""_x^y"Z}$

Sum of superscripts: $12 + 12 = 23 + y$, so $y = 1$.

Sum of subscripts: $6 + 6 = 12 + x$, so $x = 0$.

The particle with zero charge and a relative mass of 1 is a neutron.

∴ The nuclear equation is

$\text{_6^12"C" + ""_6^12"C" → ""_12^23"Mg" + ""_0^1"n}$