Weight-Volume Relationships

How is the void ratio (e) of a soil element defined?

What does the term 'porosity (n)' represent in soil mechanics?

The degree of saturation (S) is a measure of the water content in the voids of a soil. How is it specifically defined?

Which formula correctly expresses the relationship between void ratio (e) and porosity (n)?

How is the dry unit weight (γd) of a soil defined?

What is the fundamental relationship that connects degree of saturation (S), void ratio (e), moisture content (w), and specific gravity of soil solids (Gs)?

For a fully saturated soil, what is the value of the degree of saturation (S)?

A saturated soil sample has a moisture content of 23 percent. Based on the relationships in Chapter 3, what is the correct formula to find its void ratio (e) if the specific gravity (Gs) is known?

A soil has a moist unit weight (γ) of 120 lb/ft3 and a moisture content (w) of 15 percent. What is its dry unit weight (γd)?

Which formula correctly expresses the moist unit weight (γ) of a soil in terms of its specific gravity (Gs), void ratio (e), moisture content (w), and the unit weight of water (γw)?

For a moist soil sample, the total volume is 1.2 cubic meters and the total mass is 2350 kg. What is the moist density of the soil?

A soil has a porosity (n) of 0.4. What is its void ratio (e)?

A soil's dry density (ρd) is 1803.3 kg/m3 and its specific gravity of solids (Gs) is 2.71. Assuming the density of water (ρw) is 1000 kg/m3, what is the void ratio (e) of the soil?

Given a soil with a void ratio (e) of 0.503, what is its porosity (n)?

A soil has a moisture content (w) of 8.6 percent, a specific gravity (Gs) of 2.71, and a void ratio (e) of 0.503. What is its degree of saturation (S)?

What is the formula for the saturated unit weight (γsat) of a soil, given the specific gravity of solids (Gs), void ratio (e), and unit weight of water (γw)?

A saturated soil has a dry unit weight of 103 lb/ft3 and a moisture content of 23 percent. What is its saturated unit weight (γsat)?

A saturated soil has a dry unit weight (γd) of 103 lb/ft3 and a moisture content (w) of 23 percent. What is the specific gravity of its solids (Gs), assuming the unit weight of water (γw) is 62.4 lb/ft3?

A soil has a porosity (n) of 0.4, specific gravity (Gs) of 2.68, and moisture content (w) of 12 percent. What is its moist density (ρ) in kg/m3, assuming ρw is 1000 kg/m3?

For the same soil with porosity (n) of 0.4 and specific gravity (Gs) of 2.68, what would be its saturated density (ρsat) in kg/m3, with ρw = 1000 kg/m3?

The term 'relative density' is commonly used to indicate the in situ denseness or looseness of which type of soil?

How is relative density (Dr) defined in terms of void ratios?

A granular soil deposit is described as 'Very loose'. According to the qualitative description in Table 3.3, what is the typical range for its relative density?

A sandy soil has a maximum void ratio (emax) of 0.75 and a minimum void ratio (emin) of 0.4. In the field, it is compacted to a void ratio (e) of 0.67. What is its relative density (Dr)?

Which formula correctly expresses relative density (Dr) in terms of the in situ (γd), minimum (γd(min)), and maximum (γd(max)) dry unit weights?

A soil sample has a total volume V. The volume of soil solids is Vs, and the volume of voids is Vv. How is the total volume V expressed in terms of Vs and Vv?

In the context of the three phases of a soil element (solid, water, air), how is the total weight (W) of a sample expressed, assuming the weight of air is negligible?

Which formula provides the correct way to convert from porosity (n) to void ratio (e)?

If a soil has a unit weight (γ) and a moisture content (w), what is the formula for its dry unit weight (γd)?

The dry density (ρd) of a soil can be expressed in terms of the total mass (M), total volume (V), and moisture content (w). Which of the following formulas is correct?

A soil has a void ratio of 0.8, a degree of saturation of 50 percent, and a specific gravity of 2.7. What is its moisture content?

The dry unit weight of a soil is 115 lb/ft3 and its void ratio is 0.45. What is the specific gravity of the soil solids (Gs), assuming the unit weight of water is 62.4 lb/ft3?

For a saturated soil, which formula correctly expresses the saturated unit weight (γsat) in terms of its void ratio (e) and moisture content (w)?

The saturated unit weight of a soil is 19.8 kN/m3 and its moisture content is 17.1 percent. What is its dry unit weight?

A soil has a porosity of 0.35 and a specific gravity of 2.69. What is its saturated unit weight in kN/m3, given that the unit weight of water is 9.81 kN/m3?

The unit weight of a soil is 95 lb/ft3, its moisture content is 19.2 percent, and its degree of saturation is 60 percent. What is the void ratio of this soil?

A soil has a dry density of 1608 kg/m3. Its specific gravity of solids (Gs) is 2.68 and the density of water is 1000 kg/m3. What is its porosity (n)?

What does a relative density (Dr) of 100 percent signify about a granular soil deposit?

According to Table 3.3, a granular soil with a relative density of 65 percent would be qualitatively described as:

What happens to the magnitudes of emax and emin of a granular soil when non-plastic fines are added, increasing from zero to about 30 percent by volume?

For a clean sand with a fine fraction (Fc) between 0 to 5 percent, what is the empirical relationship between emax and emin proposed by Cubrinovski and Ishihara (2002)?

A saturated soil has a void ratio of 0.61. Its specific gravity of solids is 2.66. What is its moisture content?

The dry unit weight of a soil is to be calculated. The soil has a porosity (n) and specific gravity (Gs). Which formula should be used?

For a saturated soil with porosity n, what is the correct expression for its moisture content (w)?

The mass of soil solids (Ms) in a soil sample can be derived from the total mass (M) and the moisture content (w). What is the correct formula?

What is the primary difference in the denominators used to define void ratio (e) and porosity (n)?

A moist soil has a void ratio (e), specific gravity (Gs), and degree of saturation (S). Which expression from Table 3.1 represents its moist unit weight (γ)?

A soil sample is fully saturated (S=1). Its void ratio is e=0.9 and its specific gravity is Gs=2.7. What is the saturated unit weight (γsat) in kN/m3, if γw is 9.81 kN/m3?

In the relationship Dr = [(γd - γd(min)) / (γd(max) - γd(min))] * [γd(max) / γd], what does γd(min) represent?

A sandy soil has a maximum void ratio of 0.8 and a minimum void ratio of 0.45. What is the dry unit weight in the densest condition (γd(max)) if Gs = 2.65 and γw = 62.4 lb/ft3?

According to the chapter, what is the physical reason that the magnitudes of emax and emin start increasing when the percentage of non-plastic fines exceeds about 40 percent?

If a soil's moist density is 1958.3 kg/m3 and its moisture content is 8.6 percent, what is its dry density?