Question

In its natural state, a moist soil has a volume of 0.33 ft3 and weighs 39.93 lb. The oven-dried weight of the soil is 24.1 Ib. If Gs = 2.4, what ft3 will be the volume of soil solids? Answer: 70.6 If the specific gravity of soil solids is 2.5, and water content is 142.3% for a given soil whose degree of saturation is 60%, its void ratio will be 5.929

Answer 1

The volume of soil solids and void ratio calculations are essential for understanding the physical properties of soil using specific gravity, moisture content, and degree of saturation.

Step-by-step explanation:

The question is about calculating the volume of soil solids and the void ratio of a given soil sample, using principles from soil mechanics and soil properties such as specific gravity, moisture content, and degree of saturation. To calculate the volume of soil solids, one needs to use the given dry weight of the soil and the specific gravity (Gs) formula: Volume of solids = Weight of dry soil / (Gs × unit weight of water). For the void ratio calculation, the relationship between void ratio (e), degree of saturation (Sr), and water content (w) is used, along with the specific gravity of the soil solids: e = (Sr × Gs × w) / (100 - Sr). Both of these calculations provide important information about the soil's physical properties, which are crucial in fields like civil engineering and environmental science.

Answer 2

To find the volume of soil solids, we can use the formula:

V_s = (W - W_d) / (Gs * γ_w)

Where:

V_s = Volume of soil solids

W = Weight of moist soil

W_d = Oven-dried weight of soil

Gs = Specific gravity of soil solids

γ_w = Unit weight of water

Given:

W = 39.93 lb

W_d = 24.1 lb

Gs = 2.4

γ_w = unit weight of water = 62.4 lb/ft^3

Plugging in the values into the formula:

V_s = (39.93 - 24.1) / (2.4 * 62.4)

V_s = 15.83 / 149.76

V_s ≈ 0.1057 ft^3

Therefore, the volume of soil solids is approximately 0.1057 ft^3.

Regarding the second part of the question, the given information about water content, degree of saturation, and specific gravity of soil solids is not sufficient to calculate the void ratio. More information or equations are needed to determine the void ratio.