To determine the relative humidity based on air temperature and wet-bulb temperature, one would generally use a psychrometric chart, which plots these two variables against the relative humidity. However, without the chart present, we have to rely on typical relationships between temperature differences and corresponding relative humidities, which often can be found in psychrometry-related references or tables.
The difference between the air temperature (also known as the dry-bulb temperature) and the wet-bulb temperature is a key factor in calculating relative humidity. The larger the difference, the lower the relative humidity, and vice versa.
In this case, we are given the following temperatures:
- Air (dry-bulb) temperature: 29°C
- Wet-bulb temperature: 23°C
So, the temperature difference is:
29°C - 23°C = 6°C
Now, based on typical psychrometric data, a temperature difference of 6°C approximately corresponds to a relative humidity of around 54%. This is a rough approximation and would usually require confirmation using either a psychrometric chart or a formula that takes into account the specific pressure and temperature conditions.
Given this information and the options that are provided:
A) 20%
B) 6%
C) 60%
D) 54%
The most appropriate answer is D) 54%, as it is the typical estimated relative humidity for this temperature difference.
