Based on the chemical equation, use the drop-down menu to choose the coefficients that will balance the chemical equation.

[tex]\[ \square \ \text{CaSO}_4 \rightarrow \square \ \text{O}_2 + \square \ \text{CaS} \][/tex]



Answer :

Let's balance the chemical equation step-by-step.

Consider the unbalanced chemical equation:
[tex]\[ \text{CaSO}_4 \rightarrow x \cdot \text{O}_2 + y \cdot \text{CaS} \][/tex]

We'll need to balance each type of atom on both sides of the equation.

### Step 1: Balance Oxygen (O) atoms.

On the left-hand side of the equation:
- There are 4 oxygen atoms in [tex]\( \text{CaSO}_4 \)[/tex].

On the right-hand side of the equation:
- Each [tex]\( \text{O}_2 \)[/tex] molecule has 2 oxygen atoms, so with [tex]\( x \cdot \text{O}_2 \)[/tex], we have [tex]\( 2x \)[/tex] oxygen atoms.

To balance the oxygen atoms:
[tex]\[ 4 = 2x \][/tex]
[tex]\[ x = 2 \][/tex]

### Step 2: Balance Calcium (Ca) atoms.

On the left-hand side of the equation:
- There is 1 calcium atom in [tex]\( \text{CaSO}_4 \)[/tex].

On the right-hand side of the equation:
- Each [tex]\( \text{CaS} \)[/tex] molecule has 1 calcium atom. So, with [tex]\( y \cdot \text{CaS} \)[/tex], we have [tex]\( y \)[/tex] calcium atoms.

To balance the calcium atoms:
[tex]\[ 1 = y \][/tex]
[tex]\[ y = 1 \][/tex]

### Step 3: Balance Sulfur (S) atoms.

On the left-hand side of the equation:
- There is 1 sulfur atom in [tex]\( \text{CaSO}_4 \)[/tex].

On the right-hand side of the equation:
- Each [tex]\( \text{CaS} \)[/tex] molecule has 1 sulfur atom. So, with [tex]\( y \cdot \text{CaS} \)[/tex], we have [tex]\( y \)[/tex] sulfur atoms.

To balance the sulfur atoms:
[tex]\[ 1 = y \][/tex]
[tex]\[ y = 1 \][/tex]

### Final Balanced Equation

Incorporating the coefficients [tex]\( x = 2 \)[/tex] and [tex]\( y = 1 \)[/tex] into the original equation, we get:
[tex]\[ \text{CaSO}_4 \rightarrow 2 \text{O}_2 + 1 \text{CaS} \][/tex]

Therefore, the balanced chemical equation is:
[tex]\[ \boxed{CaSO_4 \rightarrow 2 O_2 + 1 CaS} \][/tex]

So, the coefficients that balance the chemical equation are:
- For [tex]\( O_2 \)[/tex]: 2
- For [tex]\( CaS \)[/tex]: 1