5. Balance the equation: Al+HClarrow AlCl_(3)+H_(2) What are the correct coefficients? a) 2,6,2,3 b) 1,3,1,2 C) 3,2,1,3 d) 1,1,1,1

To balance the chemical equation $Al+HCl\rightarrow AlCl_{3}+H_{2}$, we need to ensure that the number of atoms of each element is the same on both sides of the equation.<br /><br />Let's start by counting the number of atoms of each element on both sides of the equation:<br /><br />On the left side:<br />- Aluminum (Al): 1 atom<br />- Hydrogen (H): 1 atom<br />- Chlorine (Cl): 1 atom<br /><br />On the right side:<br />- Aluminum (Al): 1 atom<br />- Hydrogen (H): 2 atoms<br />- Chlorine (Cl): 3 atoms<br /><br />To balance the equation, we need to adjust the coefficients of the reactants and products. Let's start by balancing the chlorine atoms. We have 1 chlorine atom on the left side and 3 chlorine atoms on the right side. To balance the chlorine atoms, we need to multiply the coefficient of HCl by 3:<br /><br />$Al+3HCl\rightarrow AlCl_{3}+H_{2}$<br /><br />Now let's count the number of atoms again:<br /><br />On the left side:<br />- Aluminum (Al): 1 atom<br />- Hydrogen (H): 3 atoms<br />- Chlorine (Cl): 3 atoms<br /><br />On the right side:<br />- Aluminum (Al): 1 atom<br />- Hydrogen (H): 2 atoms<br />- Chlorine (Cl): 3 atoms<br /><br />We have balanced the chlorine atoms, but we still have an imbalance in the hydrogen atoms. We have 3 hydrogen atoms on the left side and 2 hydrogen atoms on the right side. To balance the hydrogen atoms, we need to multiply the coefficient of HCl by 2:<br /><br />$Al+6HCl\rightarrow AlCl_{3}+3H_{2}$<br /><br />Now let's count the number of atoms again:<br /><br />On the left side:<br />- Aluminum (Al): 1 atom<br />- Hydrogen (H): 6 atoms<br />- Chlorine (Cl): 6 atoms<br /><br />On the right side:<br />- Aluminum (Al): 1 atom<br />- Hydrogen (H): 6 atoms<br />- Chlorine (Cl): 3 atoms<br /><br />We have balanced the equation by adjusting the coefficients of the reactants and products. The correct coefficients are 2, 6, 2, and 3.<br /><br />Therefore, the correct answer is option a) $2,6,2,3$.