Answer:
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Step-by-step explanation:
To balance the equation using the least common multiple (LCM) method, follow these steps:
Step 1: Write down the unbalanced equation:
Al + H₂SO₄ → Al₂(SO₄)₃ + H₂
Step 2: Count the number of atoms for each element on both sides of the equation:
Left side:
Al: 1 atom
H: 1 atom
S: 1 atom
O: 4 atoms
Right side:
Al: 2 atoms
S: 3 atoms
O: 12 atoms
H: 2 atoms
Step 3: Identify the elements that are unbalanced. In this case, Al, S, O, and H are unbalanced.
Step 4: Determine the LCM of the coefficients for each unbalanced element. Start with the element with the highest number of atoms, which in this case is oxygen (O). The coefficients in front of Al₂(SO₄)₃ and H₂ need to be multiplied to achieve the LCM for oxygen, which is 12. This results in the following equation:
Al + H₂SO₄ → 12Al₂(SO₄)₃ + 6H₂
Step 5: Now, check if all other elements are balanced. In this case, Al and S are already balanced, but H is not. The coefficient in front of H₂SO₄ needs to be multiplied by 6 to balance the hydrogen. The final balanced equation is:
2Al + 3H₂SO₄ → 12Al₂(SO₄)₃ + 6H₂
Step 6: Finally, double-check that all elements are balanced. Count the number of atoms for each element on both sides of the equation to ensure they match:
Left side:
Al: 2 atoms
H: 6 atoms
S: 3 atoms
O: 12 atoms
Right side:
Al: 2 atoms
S: 3 atoms
O: 12 atoms
H: 6 atoms
Now, all elements are balanced, and the equation is balanced using the LCM method.
Therefore, the balanced equation using the LCM method is:
2Al + 3H₂SO₄ → 12Al₂(SO₄)₃ + 6H₂