Pregunta: 3.1 For a given soil, show that,a. γsat =γd+(e1+e)γwb. γd=eSγw(1+e)wc. e=γsat-γdγd-γsat+γwd. wsat =nγwγsat -nγw

$3\mathrm{.}1$ For a given soil, show that,

a$.{\gamma }_{\text{s}\text{a}\text{t}}={\gamma }_d+(\frac{e}{1+e}){\gamma }_w$

b$.{\gamma }_d=\frac{eS{\gamma }_w}{(1+e)w}$

c$.e=\frac{{\gamma }_{\text{s}\text{a}\text{t}}-{\gamma }_d}{{\gamma }_d-{\gamma }_{\text{s}\text{a}\text{t}}+{\gamma }_w}$

d$.w_{\text{s}\text{a}\text{t}}=\frac{n{\gamma }_w}{{\gamma }_{\text{s}\text{a}\text{t}}-n{\gamma }_w}$