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To solve this problem, we can use the formula given for concentration in parts per million (PPM):

\[
\text{Concentration in PPM} = \frac{\text{Amount of solute}}{\text{Amount of whole solution}} \times 10^6
\]

### Given Data
- Amount of solute (NH₃): \(12 \, \text{mg}\)
- Amount of whole solution: \(24 \, \text{kg} = 24 \times 10^6 \, \text{mg}\) (since \(1 \, \text{kg} = 10^6 \, \text{mg}\))

### Solution
1. Substitute the values into the formula:

   \[
   \text{Concentration in PPM} = \frac{12 \, \text{mg}}{24 \times 10^6 \, \text{mg}} \times 10^6
   \]

2. Simplify the fraction:

   \[
   \text{Concentration in PPM} = \frac{12}{24} \times 10^6 = 0.5 \times 10^6 = 0.5 \, \text{PPM}
   \]

### Answer
The concentration of NH₃ in the solution is:
**0.5 ppm**

Would you like further details or have any questions?

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Here are some additional questions that explore related concepts:

1. How would the PPM concentration change if the amount of NH₃ were doubled?
2. What would the concentration be if the solution weighed 48 kg instead of 24 kg, with the same amount of NH₃?
3. How is the PPM concentration affected if the solute amount is given in grams instead of milligrams?
4. How would you convert PPM to a percentage concentration?
5. How is PPM used in environmental science for measuring pollutants?

**Tip:** In PPM calculations, always ensure that both solute and solution masses are in the same units before calculating.

A 24 kg sample of an aqueous solution contains 12 mg of NH₃. What is the concentration of NH₃ in the solution, expressed as parts per million?

Learn how to calculate the concentration of NH₃ in a 24 kg solution containing 12 mg of NH₃, expressed in parts per million (PPM). This solution uses the formula for concentration in PPM and involves unit conversion from kilograms to milligrams.

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