1- A soil has a dry density of 1.3 g/cm3, particle density of 2.65 g/cm3, and volumetric moisture content of 0.26 (26%). Calculate:

a) porosity

b) air filled porosity

c) amount of water (in cm) that is present in 50 cm of soil

2- An undisturbed core sample is obtained from a sandy material at a distance of about 50 cm above a water table. The core is 10.186 cm high and 5 cm in diameter. The net weight of the sample is 419 g before drying and 371 g after drying. Assume a particle density of 2.65 g/cm3 for the sample. Calculate the following parameters:

a) water content by weight

b) volumetric moisture content

c) porosity

d) void ratio

e) saturation percentage

f) dry density

3- A sample of silty sand has a volume of 70 cm3. At the natural moisture content it weighs 150.7 grams. The sample was then saturated with water and reweighed to a weight of 169.7 grams. The sample was drained by gravity until it reached a constant weight of 146.2 grams. The sample was then oven-dried at 105 degrees centigrade until it reached a constant weight of 139.7 grams. Assume the unit weight of water is 1 g/cm3. Compute the following: (modified after Fetter, 1988, p. 113)

a) gravimetric moisture content under natural conditions

b) volumetric moisture content under natural conditions

c) porosity

d) relative saturation under natural conditions

e) specific yield

f) specific retention

g) volumetric moisture content at saturation

4- What depth of water (in cm) present and what depth of water is needed to saturate the following soil sample; 40 cm of soil with a dry density of 1.1 g/cm3 and gravimetric moisture content of 0.1. Assume density of water is 1 g/cm3 and particle density is 2.65 g/cm3.

5- A clay sample weighs 54 grams. After drying in the oven for 24 hours, it weighs 50 grams. The total volume of the sample is found to be 25 cm3. If the particle density of the clay is assumed to be 2.7 g/cm3, calculate:

a) porosity

b) void ratio

c) saturation degree

d) wet density

e) dry density

6- A silty sand sample weighs 122 pounds. After drying the sample in an oven for 24 hours, it weighs 102 pounds. The total volume of the sample is found to be 0.96 ft3 and volume of voids 0.38 ft3. Calculate:

a) water content in pounds

b) porosity

c) void ratio

d) wet density

e) dry density