Answer :
The air temperature at 2000 m above the surface would be 2) 15 degrees Celsius
Given:
Environmental lapse rate = 5 degrees Celsius per 1000 m
Temperature at Earth's surface (T_surface) = 25 degrees Celsius
Altitude above the surface (altitude) = 2000 m
Using the formula:
[tex]\(T_{\text{altitude}} = T_{\text{surface}} - (\text{Lapse rate} \times \text{Altitude})\)[/tex]
Step 1: Calculate the temperature change due to the lapse rate:
Temperature change = Lapse rate × Altitude
Temperature change = 5°C/1000m × 2000m
Temperature change = 5°C × 2
Temperature change = 10°C
Step 2: Subtract the temperature change from the surface temperature to find the temperature at the given altitude:
[tex]\(T_{\text{altitude}} = T_{\text{surface}} - \text{Temperature change}\)[/tex]
[tex]\(T_{\text{altitude}} = 25C - 10C\)[/tex]
[tex]\(T_{\text{altitude}} = 15C\)[/tex]
So correct option is 2) 15 degrees Celsius