Upon heating, baking soda (sodium hydrogen carbonate) decomposes according to the equation:
`2NaHCO_(3)(s) to Na_(2)CO_(3)(s) + H_(2)O(l) + CO_(2)(g)`
In an experiment, 8.4 g baking soda decomposes and carbon dioxide gas is collected.
Calculate the volume of carbon dioxide produced at NTP.

Explanation

To solve the problem of calculating the volume of carbon dioxide produced from the decomposition of baking soda (sodium hydrogen carbonate), we can follow these steps:

### Step 1: Write the balanced chemical equation.
The decomposition of baking soda can be represented by the following balanced equation:
\[ 2 \text{NaHCO}_3 (s) \rightarrow \text{Na}_2\text{CO}_3 (s) + \text{H}_2\text{O} (l) + \text{CO}_2 (g) \]

### Step 2: Determine the molar mass of baking soda (NaHCO₃).
To find the number of moles of baking soda, we first need to calculate its molar mass:
- Sodium (Na): 23 g/mol
- Hydrogen (H): 1 g/mol
- Carbon (C): 12 g/mol
- Oxygen (O): 16 g/mol (3 O atoms)

Calculating the molar mass:
\[ \text{Molar mass of NaHCO}_3 = 23 + 1 + 12 + (16 \times 3) = 23 + 1 + 12 + 48 = 84 \text{ g/mol} \]

### Step 3: Calculate the number of moles of baking soda decomposed.
Using the formula for moles:
\[ \text{Moles of NaHCO}_3 = \frac{\text{Given mass}}{\text{Molar mass}} = \frac{8.4 \text{ g}}{84 \text{ g/mol}} = 0.1 \text{ moles} \]

### Step 4: Use the stoichiometry of the reaction to find moles of CO₂ produced.
From the balanced equation, we see that:
- 2 moles of NaHCO₃ produce 1 mole of CO₂.

Thus, the moles of CO₂ produced from 0.1 moles of NaHCO₃ is:
\[ \text{Moles of CO}_2 = \frac{1}{2} \times \text{Moles of NaHCO}_3 = \frac{1}{2} \times 0.1 = 0.05 \text{ moles} \]

### Step 5: Calculate the volume of CO₂ at NTP.
At Normal Temperature and Pressure (NTP), 1 mole of gas occupies 22.4 liters. Therefore, the volume of CO₂ produced is:
\[ \text{Volume of CO}_2 = \text{Moles of CO}_2 \times 22.4 \text{ L/mol} = 0.05 \text{ moles} \times 22.4 \text{ L/mol} = 1.12 \text{ L} \]

### Final Answer:
The volume of carbon dioxide produced at NTP is **1.12 liters**.

---