Assuming that the air temperature drops 6.5 Celsius degrees per 1000 m, compute the temperature at the tropopause if the sea-level air temperature is 15 C and the altitude of the tropopause is 11 km.
http://www.jiskha.com/display.cgi?id=1307996602
-56.5
To calculate the temperature at the tropopause, we first need to determine the change in temperature from sea level to the tropopause.
Given:
Air temperature drops 6.5 Celsius degrees per 1000 m
Sea-level air temperature = 15°C
Altitude of the tropopause = 11 km
To find the change in temperature from sea level to the tropopause, we can use the given rate of temperature decrease.
First, we need to calculate the number of 1000 m increments in 11 km:
11 km = 11,000 m
Number of 1000 m increments = 11,000 m / 1000 m = 11 increments
Now, we can calculate the change in temperature:
Change in temperature = Rate of temperature decrease × Number of increments
Change in temperature = -6.5°C/1000 m × 11 increments
Change in temperature = -6.5°C/1000 m × 11
Change in temperature = -71.5°C
Now, we can find the temperature at the tropopause by subtracting the change in temperature from the sea-level temperature:
Temperature at the tropopause = Sea-level temperature - Change in temperature
Temperature at the tropopause = 15°C - (-71.5°C)
Temperature at the tropopause = 15°C + 71.5°C
Temperature at the tropopause = 86.5°C
Therefore, the temperature at the tropopause is 86.5°C.