pdf to .tex and not .mmd

[pkozlows]

pdf to .tex and not .mmd

[pkozlows]

the multimarkdown cli tool also gives something strange, but cleaner

(14 pts.) Consider a region within a fluid described by the van der Waals equation
[\textbackslash{}beta p=\textbackslash{}frac{\textbackslash{}rho}{1-b\textbackslash{}rho}-\textbackslash{}beta a\textbackslash{}rho^{}{2}, \textbackslash{}tag{1}]
where (\textbackslash{}rho=\textbackslash{}langle N\textbackslash{}rangle\slash{}V). The volume of the region is (L^{}{3}). Due to the spontaneous fluctuations in the system, the instantaneous value of the density in that region can differ from its average by an amount (\textbackslash{}delta\textbackslash{}rho). Determine, as a function of (\textbackslash{}beta), (\textbackslash{}rho), (a), (b), and (L^{}{3}), the typical relative size of these fluctuations; that is, evaluate (\textbackslash{}langle(\textbackslash{}delta\textbackslash{}rho)\textsuperscript{{2}\textbackslash{}rangle}{1\slash{}2}\slash{}\textbackslash{}rho). Demonstrate that when one considers observations of a macroscopic system (\emph{i.e.}, the size of the region becomes macroscopic, (L^{}{3}\textbackslash{}rightarrow\textbackslash{}infty)) the relative fluctuations become negligible.

[pkozlows]

for reference, i will post the pdf that i am trying to convert into .tex
ChChE_164_2024_HW3.pdf