In: Physics
You just purchased a new home and decided to build your hot tub behind it. After several hours of careful work in the field, you figure out that they will need to excavate exactly 5.0m3 of soil. You go out and sub-sample representative spots in the soil as it is excavated and find that it weighed 120g right after you pulled it out of the hole, and then weighed 92g after you dried it out in the oven. Your contractor excavates the site and informs you that exactly 9Mg of soil (as is/wet) were hauled away from your site. Based on this information, answer the following questions: (Show all work/units for full credit!)
A. What was the gravimetric water content of the soil sub-sample (rounded to nearest whole %)?
B. What was the bulk density of the soil (rounded to 2 decimal places)? (hint: use the sub-sample moisture content to calculate the dry weight of the larger mass of soil that came out of the 5.0m3 hole by cross multiplying WETsub/WETbulk X DRYsub /DRY/bulk)
C. What was the % solid space of this soil(rounded to nearest whole %)?
D. What was the % pore space of this soil?
E. What was the volumetric water % of this soil (rounded to nearest whole %)?
F. If this soil were completely saturated with water, how many Mg of wet soil would the contractor have to haul away?
G. If you could compact the soil that was hauled away to its maximum dry density (2.20 Mg/m3) how many m3 of disposal area would be required for it(rounded to 2 decimal places)?
H. What was the % air filled pore space in the intact soil as it was excavated? (hint: subtract volumetric water from total pore space for this).