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Dry Mass given Water Content with respect to Mass of Water Calculator

Dry Mass Formula:

\[ W_s = \frac{W_w \times 100}{w} \]

kg
%
kg

1. What is Dry Mass given Water Content Calculator?

Definition: This calculator determines the dry mass of soil solids based on the weight of water and the water content percentage.

Purpose: It's essential in soil mechanics for determining the actual weight of solid particles in soil samples.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ W_s = \frac{W_w \times 100}{w} \]

Where:

  • \( W_s \) — Weight of solids (dry mass) in kg
  • \( W_w \) — Weight of water in kg
  • \( w \) — Water content in percentage

Explanation: The weight of water is multiplied by 100 and then divided by the water content percentage to obtain the dry mass of solids.

3. Importance of Dry Mass Calculation

Details: Accurate dry mass determination is crucial for soil classification, compaction testing, and understanding soil behavior under different moisture conditions.

4. Using the Calculator

Tips: Enter the weight of water in kg and the water content as a percentage. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is water content in soil mechanics?
A: Water content is the ratio of the weight of water to the weight of solids in a soil sample, expressed as a percentage.

Q2: Why multiply by 100 in the formula?
A: The multiplication converts the water content from a decimal to a percentage (e.g., 0.15 to 15%).

Q3: What's a typical water content range for soils?
A: Water content can vary widely from 5% for dry sands to over 100% for organic clays and peats.

Q4: How is water content measured?
A: Typically by drying a soil sample in an oven at 105-110°C until constant mass is achieved.

Q5: Does this calculation account for soil voids?
A: No, this calculates only the dry mass of solids. Void ratio calculations require additional measurements.

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