1. (i) A dry soil has a void ratio of 0.65 and its grain specific gravity is = 2.80. What is its unit weight? (ii) Water is added to the sample so that its degree of saturation is 60% without any change in void ratio. Determine the water content and unit weight. (iii) The sample is next placed below water. Determine the true unit weight (not considering buoyancy) if the degree of saturation is 95% and 100% respectively.

1.     (i) A dry soil has a void ratio of 0.65 and its grain specific gravity is = 2.80. What is its unit weight?
(ii) Water is added to the sample so that its degree of saturation is 60% without any change in void ratio.    Determine the water content and unit weight.
(iii) The sample is next placed below water. Determine the true unit weight (not considering buoyancy) if the degree of saturation is 95% and 100% respectively.

2.    A sample of saturated soil has a water content of 35%. The specific gravity of solids is 2.65. Determine its void ratio, porosity, saturated unit weight and dry unit weight

3.    For a given soil, the void ratio e, water content w, and specific gravity Gs are found to be 0.50, 15%, and 2.65, respectively. Find: 

(a) Total unit weight of the soil γt
 (b) Degree of saturation S 
(c) Dry unit weight γd if the water in the void is removed

4. A  shrinkage limit test for a saturated specimen had the initial volume Vi = 21.35 cm3 and initial weight Wi = 37 gf ( = 37 × 0.00981 = 0.363 N). After drying, it became Vf = 14.3 cm3 and Wf = 26 gf (= 26 × 0.00981 = 0.255 N). Compute the shrinkage limit (SL) of this soil.