GATE Papers >> Civil >> 2019 >> Question No 34

Question No. 34 Civil | GATE 2019

A soil has specific gravity of itssolids equal to 2.65. The mass density of water is 1000 kg/m3 . Considering zero air voids and 10% moisture content of the soil sample, the dry density (in kg/m3 , round off to 1 decimal place) would be ______


Answer : 2086.6 to 2095.0


Solution of Question No 34 of GATE 2019 Civil Paper

Given that

Specific gravity (G) = 2.65

Mass density of water $ \left({\mathrm\gamma}_{\mathrm w}\right)=1000\mathrm{kg}/\mathrm m^3 $

Moisture content (w) = 10%

By the zeo-air void line

dry density $ \left({\mathrm\gamma}_{\mathrm{dry}}\right)=\frac{{\mathrm G}_{\mathrm s}.{\mathrm\gamma}_{\mathrm w}}{1+\mathrm{wG}}=\frac{2.65\times1000}{1+0.10\times2.65}=\frac{2650}{1.265}=2094.86\;\mathrm{kg}/\mathrm m^3 $

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