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GATE 2023 MN – Question 53

Geomechanics and Ground Control · Geomechanics · 2 marks · Numerical answer

A rock sample of mass 60 g displaces 27 g of brine. Brine specific gravity is 1.05. Find rock unit weight in kN/m³, to two decimals.

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Correct answer: 22.59 to 23.19

Explanation

Brine density is 1.05 g/cm³, so displaced volume and rock volume are 27/1.05=25.7143 cm³. Rock density is 60/25.7143=2.33333 g/cm³=2333.33 kg/m³. Unit weight is 2333.33×9.81/1000=22.89 kN/m³. The displaced brine mass is not itself the rock volume.

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