Question

air temperature at the surface is 25°C. If the humid adiabatic gradient is 0.5°C/100m, what is the temperature at 100m, 1500m, and 2000m?

Answer 1

100m is 24.5°C,

1500m is 17.5°C,

2000m is 15°C.

Step-by-step explanation:

To calculate the temperature at different altitudes using the given humid adiabatic gradient, we'll use the formula:

T2 = T1 - (gradient * (altitude2 - altitude1))

Given:

Surface temperature (altitude1) = 25°C

Humid adiabatic gradient = 0.5°C/100m

Let's calculate the temperatures at the specified altitudes:

At 100m:

altitude2 - altitude1 = 100m - 0m = 100m

T2 = T1 - (gradient * (altitude2 - altitude1))

T2 = 25°C - (0.5°C/100m * 100m)

T2 = 25°C - 0.5°C

T2 = 24.5°C

At 1500m:

altitude2 - altitude1 = 1500m - 0m = 1500m

T2 = T1 - (gradient * (altitude2 - altitude1))

T2 = 25°C - (0.5°C/100m * 1500m)

T2 = 25°C - 7.5°C

T2 = 17.5°C

At 2000m:

altitude2 - altitude1 = 2000m - 0m = 2000m

T2 = T1 - (gradient * (altitude2 - altitude1))

T2 = 25°C - (0.5°C/100m * 2000m)

T2 = 25°C - 10°C

T2 = 15°C

Therefore, the temperature at 100m is 24.5°C, at 1500m is 17.5°C, and at 2000m is 15°C. These values are obtained by subtracting the appropriate temperature change (determined by the humid adiabatic gradient) from the initial temperature at the surface.