If an air mass has a temperature of 10 degrees Celsius and that air mass rose 500 meters, what would be the temperature of the air mass?

The temperature of the air mass would be 5°C after it rises.

Air temperature drops 1°C for every 100 m it rises:

1/100 = x/500

Cross multiply:

500*1 = 100*x

500=100x

Divide both sides by 100:

500/100 = 100x/100

5 = x

The temperature will drop 5°; 10-5 = 5°C for the new temperature.