Question

Question was provided via image upload.

Explanation:

Step1: Balance equation 1 (Mg + O₂ → MgO)

Step1a: Balance oxygen atoms

Add coefficient 2 to MgO: $\text{Mg} + \text{O}_2
ightarrow 2\text{MgO}$

Step1b: Balance magnesium atoms

Add coefficient 2 to Mg: $2\text{Mg} + \text{O}_2
ightarrow 2\text{MgO}$

Step2: Balance equation 2 (Ca + O₂ → CaO)

Step2a: Balance oxygen atoms

Add coefficient 2 to CaO: $\text{Ca} + \text{O}_2
ightarrow 2\text{CaO}$

Step2b: Balance calcium atoms

Add coefficient 2 to Ca: $2\text{Ca} + \text{O}_2
ightarrow 2\text{CaO}$

Step3: Balance equation 3 (N₂ + H₂ → NH₃)

Step3a: Balance nitrogen atoms

Add coefficient 2 to NH₃: $\text{N}_2 + \text{H}_2
ightarrow 2\text{NH}_3$

Step3b: Balance hydrogen atoms

Add coefficient 3 to H₂: $\text{N}_2 + 3\text{H}_2
ightarrow 2\text{NH}_3$

Step4: Balance equation 4 (Cu₂O + C → Cu + CO₂)

Step4a: Balance oxygen atoms

Add coefficient 2 to Cu₂O: $2\text{Cu}_2\text{O} + \text{C}
ightarrow \text{Cu} + \text{CO}_2$

Step4b: Balance copper atoms

Add coefficient 4 to Cu: $2\text{Cu}_2\text{O} + \text{C}
ightarrow 4\text{Cu} + \text{CO}_2$

Step4c: Balance carbon atoms

Add coefficient 1 to C (already balanced): $2\text{Cu}_2\text{O} + \text{C}
ightarrow 4\text{Cu} + \text{CO}_2$

Step5: Balance equation 5 (H₂O₂ → H₂O + O₂)

Step5a: Balance hydrogen atoms

Add coefficient 2 to H₂O₂ and 2 to H₂O: $2\text{H}_2\text{O}_2
ightarrow 2\text{H}_2\text{O} + \text{O}_2$

Step5b: Verify oxygen balance

Left O: $2 \times 2 = 4$; Right O: $(2 \times 1) + 2 = 4$, so balanced.

Answer:

1. $2\text{Mg} + \text{O}_2

ightarrow 2\text{MgO}$

1. $2\text{Ca} + \text{O}_2

ightarrow 2\text{CaO}$

1. $\text{N}_2 + 3\text{H}_2

ightarrow 2\text{NH}_3$

1. $2\text{Cu}_2\text{O} + \text{C}

ightarrow 4\text{Cu} + \text{CO}_2$

1. $2\text{H}_2\text{O}_2

ightarrow 2\text{H}_2\text{O} + \text{O}_2$