The relative humidity at 15°C with an actual water vapor content of 7 g/kg is 70%
How to determine the relative humidity?
Given:
Maximum water vapor content at 15°C = 10 g/kg
Actual water vapor content = 7 g/kg
To find the relative humidity (RH), use the formula:
![\[ \text{RH} = \left( \frac{\text{Actual water vapor content}}{\text{Maximum water vapor content}} \right) * 100 \%\]](https://img.qammunity.org/2024/formulas/chemistry/college/okl1b1rvxifz49gw43ybpvdepnviqqbdsu.png)
Plug in the values:
![\[ \text{RH} = \left( \frac{7 \text{ g/kg}}{10 \text{ g/kg}} \right) * 100 \% = \left(0.7\right) * 100 \% = 70\% \]](https://img.qammunity.org/2024/formulas/chemistry/college/c5ey1neb0aluo2v4b7ka8q6s3kkubijtgg.png)
Therefore, the relative humidity at 15°C with an actual water vapor content of 7 g/kg is 70%.
Complete question:
Air at 15° C can hold 10 g/kg of water vapor. What is the relative humidity if the actual content is 7 g/kg?