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GATE-2020 (18)

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18) In a soil sample, specific gravity of soil particles is 2.5 and the void ratio is 0.5. the density of the soil sample when it is fully saturated with water is _____kg/m3 (Assume that the density of the water is 1000 kg/m3,   and no volume change of the soil sample with saturation)


(Thanks to Chandrasekhar, ANU)

 

Solution:

  Given that the  specific density = \frac{(G_{s}+e)\rho_{w}}{1+e}

 Specific gravity  G_{s}= 2.5

Void ratio (e) = 0.5

Density of the water= 1000 kg/m3

  specific density = \frac{(G_{s}+e)\rho_{w}}{1+e}

     = \frac{(G_{s}+e)\rho_{w}}{1+e}

    = \frac{(2.5+0.5)1000}{1+0.5}

   = \frac{3000}{1.5}

   = 2000 kg/m3


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