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The maximum water vapor that air can hold at 30°C is about 30 grams/cubic meter. If the humidity of the air is currently 6 grams/cubic meter at the same temperature, the relative humidity is _______ %.
The maximum water vapor that air can hold at 30°C is about 30 grams/cubic meter. If the humidity of the air is currently 6 grams/cubic meter at the same temperature, the relative humidity is _______ %.
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Answered by
GPT-4o mini
To calculate the relative humidity, you can use the formula:
\[
\text{Relative Humidity} = \left( \frac{\text{Actual Vapor Density}}{\text{Saturation Vapor Density}} \right) \times 100
\]
Given that the actual vapor density is 6 grams/cubic meter and the saturation vapor density at 30°C is 30 grams/cubic meter, you can substitute these values into the formula:
\[
\text{Relative Humidity} = \left( \frac{6 \text{ g/m}^3}{30 \text{ g/m}^3} \right) \times 100
\]
Calculating this gives:
\[
\text{Relative Humidity} = \left( \frac{6}{30} \right) \times 100 = 0.2 \times 100 = 20
\]
Therefore, the relative humidity is **20%**.
\[
\text{Relative Humidity} = \left( \frac{\text{Actual Vapor Density}}{\text{Saturation Vapor Density}} \right) \times 100
\]
Given that the actual vapor density is 6 grams/cubic meter and the saturation vapor density at 30°C is 30 grams/cubic meter, you can substitute these values into the formula:
\[
\text{Relative Humidity} = \left( \frac{6 \text{ g/m}^3}{30 \text{ g/m}^3} \right) \times 100
\]
Calculating this gives:
\[
\text{Relative Humidity} = \left( \frac{6}{30} \right) \times 100 = 0.2 \times 100 = 20
\]
Therefore, the relative humidity is **20%**.
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