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A moist soil sample has the following properties:

- Weight = 128 lb
- Volume = 1.1 ft³
- Moisture content (w%) = 12.1%
- Specific gravity of solids = 2.65

Note: The density of water is 62.4 lb/ft³.

What is the volume occupied by water, in ft³?

A. 0.22
B. 0.69
C. 0.19
D. 1.1

Answer :

Final answer:

The question pertains to the determination of the volume of water in a soil sample. After calculating, we find that the volume of water in the soil sample is 0.248 ft³. However, this answer is not included in the provided options.

Explanation:

The question is related to determining the volume of water contained in a soil sample with known properties. So, first, we need to understand the given parameters. The moisture content (w%) represents the weight of water in the sample per unit weight of dry soil, which here is 12.1% of 128lb of soil. This equates to 15.489 lb of water in the soil. We can calculate the volume of water by using the equation Vw = mw / Pw, where Vw represents the volume of water, mw is the mass of water, and Pw refers to the density of water. The density of water is provided as 62.4 lb/ft³. Solving the equation gives the volume of water as 0.248 ft³, which is not available in the given options. Thus, none of the presented options are correct.

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Rewritten by : Barada

The volume occupied by water in the moist soil sample is approximately 0.248 ft³.

To find the volume occupied by water in a moist soil sample, we need to calculate the weight of water in the sample. The weight of water can be found by multiplying the moisture content (w%) by the weight of the soil sample:

Weight of water = (w% / 100) * Weight of the soil sample

In this case, the weight of water = (12.1 / 100) * 128 lb

= 15.488 lb

Next, we need to find the volume of water by dividing the weight of water by the density of water:

Volume of water = Weight of water / Density of water

Volume of water = 15.488 lb / 62.4 lb/ft³

= 0.248 ft³

Therefore, the volume occupied by water in the moist soil sample is approximately 0.248 ft³.

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