Problem $2$: A constant$-$head permeability test is performed on a soil that is $2cm2cm$ square and $2\mathrm{.}5$

cm long. The head $($difference between manometer levels$)$ is $18$ cm $,$ and $5c{m}^3$ is collected over a time of

$100$ sec $.$

$($a$)$ Compute the coefficient of permeability based on these test conditions and results.

$($b$)$ A falling$-$head test is to be done on the same soil specimen in the same time $(100$ sec $),$ and the burette

diameter is $0\mathrm{.}8$ cm $.$ If the average head during the test should be