Final answer:
To calculate relative humidity, subtract the wet bulb temperature from the dry bulb temperature to find the wet bulb depression, then use a psychrometric chart or calculator to find the specific humidity. Finally, divide the specific humidity by the saturated specific humidity and multiply by 100 to get the relative humidity.
Step-by-step explanation:
Relative humidity can be calculated using the dry bulb and wet bulb temperatures. First, subtract the wet bulb temperature from the dry bulb temperature to find the wet bulb depression. In this case, the wet bulb depression is 46 - 38 = 8. Then, use a psychrometric chart or calculator to find the specific humidity at the dry bulb temperature and wet bulb depression. From there, you can calculate the relative humidity using the specific humidity and temperature.
For example, let's say the specific humidity at the dry bulb temperature of 46°C and wet bulb depression of 8°C is 0.012. Using the specific humidity and dry bulb temperature, you can find the saturated specific humidity at that temperature, which is 0.018. Then, divide the specific humidity by the saturated specific humidity and multiply by 100 to get the relative humidity as a percentage. In this case, (0.012/0.018) * 100 = 66.67%. Therefore, the relative humidity is approximately 67%.