A constant$-$head permeability test was performed with a hydraulic gradient $i=0\mathrm{.}88.$ The cross$-$sectional area of the sample was $0\mathrm{.}35f{t}^2.$ The flow rate through the sample was measured as $0\mathrm{.}0079f\frac{t^3}{m}in.$ The temperature of the water during the test was $24C.$

a$)$ What is the coefficient of permeability at $20C(k_{20})$ in $f\frac{t}{m}in$ and $c\frac{m}{s}?$

b$)$ Is the permeability of this soil very high, high, medium, low or very low? $($Use Table $6\mathrm{.}1$ in our textbook, also posted in Canvas$)$

c$)$ What is the probable soil type? $($Use Table $6\mathrm{.}1)$