Answer:
To determine the temperature of an unsaturated parcel of air at an altitude of 410 meters, we need to use the dry adiabatic lapse rate (DALR), which is the rate at which unsaturated air cools as it rises. The DALR is approximately 9.8°C per 1000 meters of ascent.
To calculate the temperature at 410 meters, we need to determine how many 1000-meter intervals there are between the surface and 410 meters.
(410 meters / 1000 meters) = 0.41
Therefore, the parcel of air has risen approximately 0.41 of a 1000-meter interval.
We can then calculate the temperature at 410 meters using the following formula:
T2 = T1 - (DALR x altitude interval)
where T2 is the temperature at 410 meters, T1 is the temperature at the surface, and the altitude interval is the difference in altitude between the surface and 410 meters.
Plugging in the values we get:
T2 = 10°C - (9.8°C/1000m x 410m x 0.41)
T2 = 10°C - 1.6°C
T2 = 8.4°C
Therefore, the temperature of the unsaturated parcel of air at an altitude of 410 meters would be approximately 8.4°C.
Step-by-step explanation:
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