GATE 2021 AG – Question 41

Soil and Water Conservation Engineering · Soil Mechanics · 2 marks · Multiple choice

A wet sandy-clay loam sample has mass135 kg, wet density1.8 g/cm³,gravimetric water18%,and solids specific gravity2.7. Find dry density(g/cm³) and porosity(%).

1.53 and 43.50
1.53 and 77.00
1.65 and 43.50
1.65 and 77.00

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Correct answer: (A) 1.53 and 43.50

Explanation

Dry density=$\rho/(1+w)=1.8/1.18=1.52542$ g/cm³. Porosity=$1-\rho_d/\rho_s=1-1.52542/2.7=.43503$,or43.50%. Thus **A**. Sample mass cancels;water content is mass of water per mass of dry solids.

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