To determine the next logical step in balancing the equation \( \text{CS}_2(l) + \text{Cl}_2(g) \rightarrow \text{CCl}_4(l) + \text{S}_2\text{Cl}_2(l) \), we need to analyze the number of atoms of each element on both sides of the equation.
On the left side, we have:
- Carbon (C) = 1 from CS2
- Sulfur (S) = 2 from CS2
- Chlorine (Cl) = 2 from Cl2
On the right side, we have:
- Carbon (C) = 1 from CCl4
- Sulfur (S) = 2 from S2Cl2
- Chlorine (Cl) = 4 from CCl4 + 2 from S2Cl2 = 6 in total
Now, let's summarize what we have:
- C: 1 on both sides
- S: 2 on both sides
- Cl: 2 on the left side and 6 on the right side
Since the number of chlorine atoms is unbalanced, we need to balance that.
To balance the chlorines, we can see that we need to change the coefficient in front of Cl2. Specifically, placing a coefficient of 3 in front of Cl2 will give us \( 3 \times 2 = 6 \) chlorine atoms on the left side which will match the 6 chlorine atoms on the right side.
Thus, the next logical step to balance the equation is:
B. Place the coefficient 3 in front of the chlorine molecule.