You place three soil samples

in a $1-$D flow apparatus. I provide a sketch of the apparatus on a separate

sheet of this assignment. A table included with the sketch summarizes important information for each

sample. I identify points A through F at the ends of the three samples as shown on the apparatus sketch.

Assume steady state and saturated flow for the conditions shown.

Refer to the hydraulic conductivity data included in the table for "Problem $1".$

a$)$ What are the elevation, pressure, and total head at Points A and F$?$ Express your answer$($s$)$ in

terms of the unknown $"$h$",$ as appropriate. Show and explain all work to receive full credit for

this problem. $(2$ points$)$

b$)$ Estimate the value of $"$h$"($in centimeters$)$ that will lead to a flow rate of $2\mathrm{.}1$ x $10-2$ cubic

centimeters per minute through Soil $2.$ Assume water flows from the left to the right through

the apparatus. Show and explain all work to receive full credit for this problem. $(1$ point$)$

c$)$ Assume $"$h$"$ equals $25$ centimeters. What is the hydraulic gradient for Soil $2?$ Show all work to

receive full credit. $(1$ point$)$

d$)$ Assume Soil $3$ has a void ratio $($e$)$ equal to $0\mathrm{.}68$ and a specific gravity $($Gs$)$ equal to $2\mathrm{.}65.$ Estimate

the value of $"$h$"($in centimeters$)$ that will lead to a quick condition in Soil $3.$ Show all work to

receive full credit. $(1$ point$)$ Soil Data and Sketch of Flow Apparatus: