Revisiting Q$2$ of HW$2,$ we consider a vertical segment of the atmosphere which has a constant density

$($i$.$e$.,$ density of air is independent of height$).$ What is the lapse rate, $\backslash$Gamma $$ dT$/$dz$,$ of the environmental

temperature profile within this segment? Is the atmosphere within the segment statically stable, neutral,

or unstable?

Appendix: How to read the data for Problem $1$

The data file, $$gefd$2024\_$hw$3\_$data.txt$,$ is in plain text and consists of two columns for pressure $($in

mb$)$ and temperature $($in $\backslash$deg C$).$ The following matlab code, also posted separately, can be used to read

the data into two arrays, p and T$,$ each with $143$ elements. The first pair of records, $($p$(1),$ T$(1)),$ are the

pressure and temperature at the lowest elevation $($or highest pressure$),$ which is the surface. As a quick

reference, the matlab code also plots T as a function of p$,$ as shown in the next page.

clear

fid$1=$ fopen$(\text{'}$gefd$2024\_$hw$3\_$data.txt$\text{'},\text{'}$r$\text{'})$;

for n $=1$:$143$

p$($n$)=$ fscanf$($fid$1,\text{'}\%$f$7\mathrm{.}1\text{'})$;

T$($n$)=$ fscanf$($fid$1,\text{'}\%$f$7\mathrm{.}1\text{'})$;

end

fclose$($fid$1)$;

plot$($T$,$p$,\text{'}$r$-\text{'},$'LineWidth',$2)$

axis$([-802001000])$

xlabel$(\text{'}$T$($p$)(\backslash$circC$)\text{'})$; ylabel$(\text{'}$p $($mb$)\text{'})$

set$($gca$,$'YDir','reverse'$)$