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question 6 at the top of a building 400 meters high, the temperature is…

Question

question 6
at the top of a building 400 meters high, the temperature is 19.7°c. if it is 21.5°c at ground
level, what is the average lapse rate?
o a. -4.5°c
b. -2.0°c
o c. -7°c
d. -5.6°c

Explanation:

Step1: Calculate temperature difference

The temperature at ground level is \(21.5^{\circ}C\) and at the top of the building (400 meters high) is \(19.7^{\circ}C\). The temperature difference \(\Delta T=21.5 - 19.7=1.8^{\circ}C\)

Step2: Calculate lapse rate

The lapse rate formula is \(L=\frac{\Delta T}{h}\) (where \(h\) is the height). Here \(h = 400\) meters. So \(L=\frac{1.8}{400}\times1000\) (to get per 1000 - meter rate). \(L = 4.5^{\circ}C\) per 1000 meters. But since the temperature is decreasing with height (top - temperature \(19.7<\) ground - temperature \(21.5\)), the lapse rate is \(- 4.5^{\circ}C\)

Answer:

a. - 4.5°C