Problem $1$: $(40$pts$)$

Refer to the constant$-$head permeability test shown in the figure. A test gives these values:

$L=30cm$;$A=$ area of specimen $=177c{m}^2$;$h=50cm$; water collected in a period of $5$min$=350c{m}^3$;

water temperature $=24C.$ Determine the hydraulic conductivity of the soil $($in $c\frac{m}{sec})$ at $20C.$

Using table $7\mathrm{.}2$

$k_{20C}=(\frac{{}_{TC}}{{}_{20C}})k_{TC}$

Table $7\mathrm{.}2$ Variation of ${}_{TC}{}_{20C}$