Find the mass (in kilogram) of an ammonia molecule `NH_(3)`.

Explanation

To find the mass of an ammonia molecule (NH₃) in kilograms, we can follow these steps:

### Step 1: Determine the molar mass of ammonia (NH₃)
The molar mass of ammonia is given as 17 grams per mole.

### Step 2: Convert the molar mass from grams to kilograms
Since we need the mass in kilograms, we convert grams to kilograms:
\[ \text{Molar mass in kg} = 17 \, \text{g} = 17 \times 10^{-3} \, \text{kg} = 0.017 \, \text{kg} \]

### Step 3: Use Avogadro's number to find the mass of a single molecule
Avogadro's number (Nₐ) is approximately \(6.022 \times 10^{23}\) molecules per mole. The mass of a single ammonia molecule can be calculated using the formula:
\[ \text{Mass of one molecule} = \frac{\text{Molar mass}}{N_a} \]
Substituting the values:
\[ \text{Mass of one NH}_3 \text{ molecule} = \frac{0.017 \, \text{kg}}{6.022 \times 10^{23}} \]

### Step 4: Perform the calculation
Calculating the above expression:
\[ \text{Mass of one NH}_3 \text{ molecule} = \frac{0.017}{6.022 \times 10^{23}} \approx 2.82 \times 10^{-26} \, \text{kg} \]

### Final Answer
The mass of an ammonia molecule (NH₃) is approximately \(2.82 \times 10^{-26} \, \text{kg}\).

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