Determination of Unit Weight and Specific Gravity

Q. What is the dry unit weight of a clay soil when the void ratio of a sample there of is 0.50, the degree of saturation is 70% and the specific gravity of soil grains is 2.7? Take the value of ${\gamma }_w$ to be $9.81kN/m^3$.

1. $13.651kN/m^2$

2. $19.951kN/m^2$
3. $23.651kN/m^2$
4. $29.95kN/m^2$

Q. What are the respective values of void ratio, porosity ratio and saturated density $\left(inkN/m^3\right)$ for a soil sample which has saturation moisture content of 20% and specific gravity of grains as 2.6? (take density of water as $\left(10kN/m^3\right)$

1. 0.52, 1.08, 18.07
2. 0.52, 0.34, 18.07
3. 0.77, 1.08, 16.64
4. 0.52, 0.34, 20.14

Q. The water content of a saturated soil and specific gravity of soil solids were found to be 30% and 2.70 respectively. Assuming the unit wt of water to be $10kN/m^3$, the saturated unit wt (kN/$m^3$) and the void ratio of the soil are

1. 19.4, 0.81
2. 18.5, 0.30
3. 19.4, 0.45
4. 18.5, 0.45

Q. Which one the following represents relative density of saturated sand deposit having moisture content of 25%, if maximum and minimum void ratio of sand are 0.95 and 0.45 respectively and specific gravity of sand particles is 2.6?

1. 40%
2. 50%
3. 60%
4. 70%

Q. While boring was being done, the soil sample was found to be saturated with kerosene oil. The saturated unit weight of soil was found to be 2.5 gm/cc. If the specific gravity of soil grains and kerosene oil be 2.7 and 0.9 respectively, the dry unit weight is..... g/cc

1. 2.4
2. 1.8
3. 1.6
4. 2.6

Q. A soil sample in its natural state has mass of 2.290 kg and a volume of 1.15 $\times$ ${10}^{-3}$$m^3$. After being oven dried, the mass of the sample is 2.035 kg. $G_s$ for soil is 2.68. The void ratio of the natural soil is

1. 0.40
2. 0.45
3. 0.55
4. 0.53

Q. The given figure indicate the weights of different pycnometers:

The specific gravity of the solids is given by

1. $\frac{W_2}{W_4-W_2}$

2. $\frac{W_1-W_2}{(W_3-W_4)-(W_2-W_1)}$

3. $\frac{W_2}{W_3-W_4}$
4. $\frac{W_2-W_1}{(W_2-W_1)-(W_3-W_4)}$

Q.

The dry density of a soil is 1.5 g/cc. If the saturation water content were 50% then its saturated density and submerged density would, respectively, be

1. 1.5 g/cc and 1.0 g/cc
2. 2.0 g/cc and 1.0 g/cc
3. 2.25 g/cc and 1.25 g/cc
4. 2.50 g/cc and 1.50 g/cc

Q. A $588c{m}^3$ volume of moist sand weighs 1010 gm. Its dry weight is 918 gm and G is 2.67. Assuming density of water as 1 gm/cc, the void ratio is

1. 0.71

Q. A sample of 500 g dry sand, when poured into a 2 litre capacity cylinder which is partially filled with water, displaces 188 $c{m}^3$ of water. The density of water is $1g/c{m}^3$. The specific gravity of the sand is

1. 2.66
2. 2.52
3. 2.72
4. 2.55