From a flow-net diagram drawn under a concrete dam, following information are obtained:
(i) The head difference between upstream and downstream side of the dam is 9 m .
(ii) The total number of equipotential drops between upstream and downstream side of the dam is 10 .
(iii) The length of the field nearest to the toe of the dam in the downstream side is 1 m .
If the soil below the dam is having a saturated unit weight of $21 \mathrm{kN} / \mathrm{m}^3$ and unit weight of water is $9.81 \mathrm{kN} / \mathrm{m}^3$, then the factor of safety against the quick condition will be __________ (round off to two decimal places).
A 6 m thick clay stratum has drainage at both its top and bottom surface due to the presence of sand strata. The time to complete $50 \%$ consolidation is 2 years. The coefficient of volume change $\left(m_v\right)$ is $1.51 \times 10.3 \mathrm{~m}^2 / \mathrm{kN}$ and unit weight of water is $9.81 \mathrm{kN} / \mathrm{m}^3$.
The coefficient of permeability (in m/year) is__________ (round off to three decimal places).
For a partially saturated soil deposit at a construction site, water content $(w)$ is $15 \%$, degree of saturation ( S ) is $67 \%$, void ratio ( e ) is 0.6 and specific gravity of solids in the soil $\left(G_s\right)$ is 2.67 . Consider unit weight of water as $9.81 \mathrm{kN} / \mathrm{m}^3$.
To fully saturate $5 \mathrm{~m}^3$ of this soil, the required weight of water (in kN ) will be __________ (round off to the nearest integer).