Question

As dry air rises, it expands, and this causes it to cool about 1 degree Celsius for every 100 meter rise, up to a height of 12 Km. If the ground temperature is 15∘ write a formula for the temperature T in terms of the height h (where h is measured in meters and less than 12 Km) above ground.

Answer 1

Answer: T = G - H/100

T= 12 - 12000/100 = 12 - 120 = - 105 degrees

Explanation:

T = G - H/100

T is temperature in centigrade degrees.

G is the temperature in centigrade degrees at ground level.

H is the height above ground level measured in meters.

assuming the temperature at ground level is 15 degrees centigrade, then G = 15.

the formula then becomes:

T = 15- H/100.

at ground level, H = 0 and the formula becomes 15 - 0/100 = 15 degrees centigrade.

at 100 meters, H = 100 and the formula becomes 15 - 100/100 = 15 - 1 = 14 degrees centigrade.

at 12 km above ground level, H = 12000 and the formula becomes 15 - 12000/ 100 = 15 - 120 = -105 degrees centigrade.