Question

Given the following data, determine the final water content \( W_2 \): 

 Given: - \( W_1 = 18\% \) - \( G_p = 2.74 \) - \( S_1 = 0.65 \) - \( S_2 = 0.852 \) - Find \( W_2 \)

• A. 23.52%
• B. 22.10%
• C. 20.30%
• D. 18.60%

Hint:

In geotechnical calculations, the degree of saturation is often used to calculate changes in water content. When saturation changes, use the formula \( \frac{S_1}{S_2} = \frac{W_1}{W_2} \) to determine the new water content.

Answer 1

The Correct Option is A

Step 1: Use the relationship between \( S_1 \), \( W_1 \), and \( S_2 \)
The relationship between the degree of saturation and water content is given by:
\[ \frac{S_1}{S_2} = \frac{W_1}{W_2} \] Substituting the given values:
\[ \frac{0.65}{0.852} = \frac{18}{W_2} \] Solving for \( W_2 \):
\[ W_2 = \frac{18 \cdot 0.852}{0.65} = 23.52\% \] Thus, the final water content \( W_2 \) is \( \mathbf{23.52\%} \).