Saturated air at room temperature of 20 C has the capacity to hold 17.3mg / l of water vapor. If the absolute humidity is 12 mg /dl, calculate the relative humidity (RH %).

To calculate the **relative humidity (RH)**, we use the following formula:

\[
RH = \left( \frac{\text{Absolute Humidity}}{\text{Saturation Humidity}} \right) \times 100
\]

Where:
- **Absolute Humidity** is given as \(12 \, \text{mg/dl}\).
- **Saturation Humidity** (the maximum amount of water vapor that air can hold at 20°C) is \(17.3 \, \text{mg/l}\).

However, we need to convert the **absolute humidity** to the same units as the **saturation humidity**, which is mg/l. Since 1 deciliter (dl) = 0.1 liters, we can convert:

\[
12 \, \text{mg/dl} = 12 \, \text{mg} \times 10 \, \text{dl/l} = 120 \, \text{mg/l}
\]

Now, plug the values into the formula for RH:

\[
RH = \left( \frac{120}{17.3} \right) \times 100
\]

Let's calculate that.

\[
RH = \left( \frac{120}{17.3} \right) \times 100 \approx 693.64\%
\]

This means the value you provided for **absolute humidity** seems unusually high, suggesting that this could represent an environment far exceeding saturation. If the numbers are correct, it implies the air holds much more water vapor than is typically possible at 20°C, possibly indicating a typo or misunderstanding in the problem.

Please clarify if needed! Would you like more details or another example of relative humidity calculation?

Here are 5 relative questions:
1. What are common relative humidity levels in different climates?
2. How does temperature affect saturation humidity?
3. What units are used in measuring absolute humidity?
4. Can air have a relative humidity higher than 100%?
5. How do we measure humidity in real-world applications?

**Tip:** Always check that the units match across all given quantities before solving an equation.

Learn how to calculate the relative humidity when air at 20°C holds a saturation humidity of 17.3 mg/l and absolute humidity is 12 mg/dl. The problem covers key concepts such as unit conversion and proportional relationships, suitable for Grades 10-12.

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