Final answer:
To solve the engineering problem involving compaction of wet sand, the mass of water, void ratio, and dry density after compaction are requested. However, given the ambiguous value for the degree of saturation, precise calculations cannot be completed without clarification or correction of this value.
Step-by-step explanation:
The question asks to calculate the mass of water, void ratio before compaction, and dry density after compaction for a sample of wet sand under static compaction.
First, let's determine the mass of water in the sand sample initially. Given the degree of saturation (Sr) is indicated as 5290 which seems to be a typo, considering saturation percentage should be less than or equal to 100%, we would need clarity on this value to proceed.
If the correct value was 52.90%, then we can find the volume of voids that are saturated with water, and from there calculate the mass of water using the density of water (1g/cm³ or 1g/mL). Without the accurate degree of saturation, we cannot proceed with calculations.
The void ratio (e) prior to compaction can be calculated if the specific gravity (Gs=2.65) is known, and we assume the initial state of the sand is fully saturated. Using the initial volume and the weight of the solids, we can describe the relationship between voids and solids and find the void ratio.
The dry density (ρd) after compaction would consider the reduced volume (5% less of the original) and the weight of solids to determine the mass per unit volume. Without exact values for moisture content and correction for the degree of saturation, these calculations cannot be completed accurately.