Complete the following equations:
(i) `Na_(2)O_(2)+2H_(2)O to underline((W))+H_(2)O_(2)`
(ii) `2KO_(2)+2H_(2)O to underline((X))+underline((Y))+O_(2)`
(iii) `Na_(2)O+CO_(2)to underline((Z))`

Options

A. `W-4Na, X-`K_(2)O`,`Y-`H_(2)O`,`Z-Na_(2)O_(2)`
B. `W-4Na,X-K_(2)O,Y-H_(2)O_(2),Z-Na_(2)CO_(3)`
C. `W-4NaOH,X-2KOH,Y-H_(2)O,Z-Na_(2)O_(2)`
D. `W-2NaOH,X-2KOH,Y-H_(2)O_(2),Z-Na_(2)CO_(3)`

Explanation

Let's complete the given equations step by step.

### Step 1: Completing the first equation
**Given:**
\[ \text{Na}_2\text{O}_2 + 2\text{H}_2\text{O} \rightarrow \underline{(W)} + \text{H}_2\text{O}_2 \]

**Solution:**
- Sodium peroxide (\( \text{Na}_2\text{O}_2 \)) reacts with water to produce sodium hydroxide (\( \text{NaOH} \)) and hydrogen peroxide (\( \text{H}_2\text{O}_2 \)).
- The balanced reaction will yield 2 moles of sodium hydroxide for every mole of sodium peroxide reacted.

Thus,
\[ W = 2\text{NaOH} \]

### Step 2: Completing the second equation
**Given:**
\[ 2\text{KO}_2 + 2\text{H}_2\text{O} \rightarrow \underline{(X)} + \underline{(Y)} + \text{O}_2 \]

**Solution:**
- Potassium superoxide (\( \text{KO}_2 \)) reacts with water to produce potassium hydroxide (\( \text{KOH} \)) and hydrogen peroxide (\( \text{H}_2\text{O}_2 \)), along with oxygen gas (\( \text{O}_2 \)).
- The balanced equation shows that for every 2 moles of \( \text{KO}_2 \), we get 2 moles of \( \text{KOH} \) and 1 mole of \( \text{H}_2\text{O}_2 \).

Thus,
\[ X = 2\text{KOH} \]
\[ Y = \text{H}_2\text{O}_2 \]

### Step 3: Completing the third equation
**Given:**
\[ \text{Na}_2\text{O} + \text{CO}_2 \rightarrow \underline{(Z)} \]

**Solution:**
- Sodium oxide (\( \text{Na}_2\text{O} \)) reacts with carbon dioxide (\( \text{CO}_2 \)) to produce sodium carbonate (\( \text{Na}_2\text{CO}_3 \)).
- This is a straightforward acid-base reaction where the oxide reacts with the acid (carbon dioxide).

Thus,
\[ Z = \text{Na}_2\text{CO}_3 \]

### Final Answers:
1. \( W = 2\text{NaOH} \)
2. \( X = 2\text{KOH} \)
3. \( Y = \text{H}_2\text{O}_2 \)
4. \( Z = \text{Na}_2\text{CO}_3 \)

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