Final answer:
The correct balanced chemical equation for the decomposition of aluminum chloride into aluminum and chlorine gas is 2AlCl₃ → 2Al + 3Cl₂.
Step-by-step explanation:
The balanced chemical equation for the decomposition of aluminum chloride (AlCl₃) into aluminum (Al) and chlorine gas (Cl₂) is option (b): 2AlCl₃ → 2Al + 3Cl₂. To balance the equation, we need to ensure that there are equal numbers of each type of atom on both sides of the reaction. Starting with 2 moles of AlCl₃, the decomposition yields 2 moles of Al and 3 moles of Cl₂ since each AlCl₃ contains 3 Cl atoms.