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GATE 2018 CE (CE1) – Question 30

Geotechnical Engineering · Three-phase system, phase relationships, index properties and soil classification · 1 mark · Numerical answer

A dry soil pat in a shrinkage-limit test has volume 50 cm³ and mass 88 g. Solids specific gravity is 2.71 and water density 1 g/cm³. Shrinkage limit, to two decimals, is ______%.

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Correct answer: 19.50 to 20.50

Explanation

Solid volume is $88/2.71=32.4723$ cm³. At the shrinkage limit, water fills the remaining $50-32.4723=17.5277$ cm³. Its mass is 17.5277 g. Water content is $100(17.5277)/88=19.92\%$.