A soil sample $5cm$ long and with $50c{m}^2$ cross$-$sectional area has been tested in a

constant$-$head permeability apparatus. A constant head of $40cm$ was maintained

during the test. After $10$min of testing, a total of $43mL$ of water was collected. The

temperature of the water was $20C.$

a$).$ Calculate the coefficient of permeability in $c\frac{m}{s}.$

b$).$ Use the table on p$\mathrm{.}12,$ Ch$.6$ of the lecture notes to infer the type of the tested soil.

c$).$ Calculate the seepage velocity of water through the soil, if the dry mass of the

soil sample after the test was $398g.$ Assume $G_s=2\mathrm{.}65.$