Which of the following is a balanced equation?

a. A1 + CuSO4= Cu + A12 (SO4)3

b. 2 A1 + CuSO4 = Cu + A12 (SO4)3

c. A1 + 3 CuSO4 = 2 Cu + A12 (SO4)3

d. 2 A1 + 3 CuSO4 = 3 Cu + A12 (SO4)3

d/ 2 A1 + 3 CuSO4 = 3 Cu + A12 (SO4)3

To determine which of the given equations is balanced, we need to understand the concept of a balanced equation. A balanced equation shows that the number of atoms of each element on both sides of the equation is equal.

Let's analyze each of the given equations:

a. A1 + CuSO4 = Cu + A12(SO4)3
In this equation, there is only one aluminum (A1) atom on the left side, but two on the right side. Therefore, this equation is not balanced.

b. 2 A1 + CuSO4 = Cu + A12(SO4)3
This equation has two aluminum (A1) atoms on each side, which makes it balanced. However, we need to check the other elements as well.

c. A1 + 3 CuSO4 = 2 Cu + A12(SO4)3
Here, we have one aluminum (A1) atom on the left side and two on the right side. Additionally, there are three copper (Cu) atoms on the left side but only two on the right side. Thus, this equation is not balanced.

d. 2 A1 + 3 CuSO4 = 3 Cu + A12(SO4)3
This equation has two aluminum (A1) atoms on each side, making it balanced. Additionally, there are three copper (Cu) atoms on each side, which also satisfies the balanced condition. Thus, this equation is balanced.

Therefore, the balanced equation is option d:

2 A1 + 3 CuSO4 = 3 Cu + A12(SO4)3