Balance this equation. underline ( )CF_(4)+underline ( )Br_(2)-underline ( )CBr_(4)+underline ( )F_(2) 1.2.1.2 2.1,2,1 2,2,2,2 1,2,2,1

To balance the chemical equation, we need to ensure that the number of atoms of each element is the same on both sides of the equation. Let's start by counting the number of atoms of each element in the reactants and products:<br /><br />- Carbon (C): 1 atom on both sides<br />- Fluorine (F): 4 atoms on the left side and 2 atoms on the right side<br />- Bromine (Br): 2 atoms on the left side and 4 atoms on the right side<br /><br />Now, let's balance the atoms one by one:<br /><br />1. Carbon is already balanced with 1 atom on each side.<br />2. To balance fluorine, we need to have 4 atoms on the right side, so we need to put a coefficient of 2 in front of \(F_{2}\) on the right side.<br />3. To balance bromine, we need to have 2 atoms on the left side, so we need to put a coefficient of 1 in front of \(Br_{2}\) on the left side.<br /><br />Now, let's rewrite the equation with the coefficients:<br /><br />\[1 \cdot CF_{4} + 1 \cdot Br_{2} \rightarrow 1 \cdot CBr_{4} + 2 \cdot F_{2}\]<br /><br />This gives us 1 carbon, 4 fluorine, 2 bromine, and 2 fluorine on both sides, which means the equation is balanced.