What are the respective values of void ratio, porosity ratio and saturated density $(i n k N / m^{3})$ for a soil sample which has saturation moisture content of 20% and specific gravity of grains as 2.6? (take density of water as $(10 k N / m^{3})$

0.52, 1.08, 18.07

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0.52, 0.34, 18.07

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0.77, 1.08, 16.64

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0.52, 0.34, 20.14

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Solution

The correct option is D 0.52, 0.34, 20.14
(d)
Given w = 20%, G = 2.6
S = 100%
$e = \frac{G w}{S} = \frac{2.6 \times 20}{100} = 0.52$

$n = \frac{e}{1 + e} = 0.34$

$γ_{s a t} = (\frac{G + e}{1 + e}) γ_{w}$

$= \frac{2.6 + 0.52}{1 + 0.52} \times 10$

$= 20.53 k N / m^{3}$

If density of water is taken as $9.81 k N / m^{3}$

$γ_{s a t} = 20.14 k N / m^{3}$

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What are the respective values of void ratio, porosity ratio and saturated density (inkN/m3) for a soil sample which has saturation moisture content of 20% and specific gravity of grains as 2.6? (take density of water as (10kN/m3)

The correct option is D 0.52, 0.34, 20.14(d) Given w = 20%, G = 2.6 S = 100% e=GwS=2.6×20100=0.52 n=e1+e=0.34 γsat=(G+e1+e)γw =2.6+0.521+0.52×10 =20.53kN/m3 If density of water is taken as 9.81kN/m3 γsat=20.14kN/m3

What are the respective values of void ratio, porosity ratio and saturated density $(i n k N / m^{3})$ for a soil sample which has saturation moisture content of 20% and specific gravity of grains as 2.6? (take density of water as $(10 k N / m^{3})$