High School

If the environmental lapse rate is 5 degrees Celsius per 1000 m and the temperature at Earth's surface is 25 degrees Celsius, then the air temperature at 2000 m above the surface would be ________.
1) 20 degrees Celsius
2) 15 degrees Celsius
3) 10 degrees Celsius
4) 5 degrees Celsius

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