ΔT / Δz
= - 53 C / 7 km = - 7.57 C/km
The negative sign is just telling
you that temperature is decreasing with increasing
altitude.
3. Probably the
hardest question on the assignment. You imagine
taking some of the 25 C air at ground level and then
lifting it upward. As it rises it will expand
and cool. How quickly it cools depends on
whether the air is saturated or not. The air at
ground level is unsaturated; unsaturated air cools at
a rate of 10 C/km.
Thus the 25 C air will cool to 15 C when lifted to 1
km and then drop another 10 C to 5 C by the time it
reaches 2 km altitude.
The assignment states that the air becomes saturated
when it reaches 5 C. That occurs at 2 km.
Saturated air cools at a rate of 6 C/km on
average. Thus the 5 C air will cool to -1 C when
it rises from 2 to 3 km. It will cool another 6
C, from -1 to -7
C when it travels from 3 to 4 km.
The temperature of the lifted parcel of air is listed
at the right side of the figure below and drawn on the
graph.