To solve problem 3, we need to work backward using the Relative Humidity table provided in the image. Here is the step-by-step logic:
1.
Identify the known values:
*
Dry Bulb Temperature: $10^\circ\text{C}$
*
Relative Humidity: $76\%$
2.
Locate the Dry Bulb Temperature on the table:
* Look at the first column on the left labeled "Dry-Bulb Temperature ($^\circ\text{C}$)".
* Find the row for
10.
3.
Find the Relative Humidity value in that row:
* Scan across the row for $10^\circ\text{C}$ to find the number
76.
* Looking at the row: The values are 100, 88, 76, 65, 54...
* We found
76 in the third column of data.
4.
Determine the "Difference Between Wet & Dry Bulbs":
* Look at the top header row to see what column difference corresponds to that value.
* The column containing 76 lines up with the number
2 at the top (under "Difference Between Wet-Bulb and Dry-Bulb Temperatures").
* So, the difference is
$2^\circ\text{C}$.
5.
Calculate the Wet Bulb Temperature:
* The formula for the difference is: $\text{Dry Bulb Temp} - \text{Wet Bulb Temp} = \text{Difference}$
* We know: $10^\circ\text{C} - \text{Wet Bulb Temp} = 2^\circ\text{C}$
* To find the Wet Bulb Temp, subtract the difference from the Dry Bulb Temp:
$$10 - 2 = 8$$
* The Wet Bulb Temperature is
$8^\circ\text{C}$.
Filling in the table for Problem 3:
*
Dry Bulb Temp.: $10^\circ\text{C}$
*
Wet Bulb Temp.: $8^\circ\text{C}$
*
Difference between Wet & Dry Bulbs: $2^\circ\text{C}$
*
Relative Humidity: $76\%$
Final Answer:
The reading of the wet-bulb thermometer is
8°C.
Here is the completed table information:
*
Dry Bulb Temp.: 10°C
*
Wet Bulb Temp.: 8°C
*
Difference between Wet & Dry Bulbs: 2°C
*
Relative Humidity: 76%
Parent Tip: Review the logic above to help your child master the concept of relative humidity worksheet middle school.
