GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

Question : 47 of 65

Marks: +1, -0

A box measuring

50 {cm} × 50 {cm} × 50 {cm}

is filled to the top with dry coarse aggregate of mass

187.5 {kg}

. The water absorption and specific gravity of the aggregate are

0.5 \%

and

2.5

, respectively. The maximum quantity of water (in

{kg}

, round off to 2 decimal places) required to fill the box completely is ____________

Solution:

Volume of the box

=0.5 × 0.5 × 0.5

=0.125 {m}^{3}

Mass of aggregate

=187.5 {kg}

{G}_{ {agg}}=2.5

Volume of aggregate

=\;{187.5}/{25 × 1000}=0.075 {m}^{2}

Volume of empty space

=0.125-0.075

=0.05 {m}^{3}

Water absorption

=0.5 \%

Volume of water absorbed

=\;{0.5}/{100} × \;{187.5}/{1000}=9.375 × 10^{-4}

Total volume of water that can be filled

=9.375 × 10^{-4}+0.05

=0.0509 {m}^{3}

Mass of water

=50.94 {kg}

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