An undisturbed sample of clay has a wet mass of 100 kg and a total volume of 0.0491 m\(^3\). The dry mass is 93 kg, and the solids have a specific gravity of 2.65. What is the void ratio?

To find the void ratio, subtract the mass of water from the total mass to get the mass of the solids. Divide the mass of the solids by the specific gravity to get the volume of the solids. Finally, calculate the void ratio by dividing the volume of voids by the volume of the solids.

Explanation:

To find the void ratio, we first need to find the volume of the solids. The wet mass of the clay is the sum of the mass of the solids and the mass of the water. So, the mass of the solids is the total mass minus the mass of the water. The volume of the solids can be found by dividing the mass of the solids by the specific gravity. Finally, the void ratio can be calculated by dividing the volume of the voids (total volume minus volume of solids) by the volume of the solids.

Step 1: Calculate the mass of the solids:

Mass of solids = Total mass - Mass of water = 100 kg - 93 kg = 7 kg

Step 2: Calculate the volume of the solids:

Volume of solids = Mass of solids / Specific gravity = 7 kg / 2.65 = 2.64 m³

Step 3: Calculate the void ratio:

Void ratio = (Total volume - Volume of solids) / Volume of solids = (0.0491 m³ - 2.64 m³) / 2.64 m³ = -96.7

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