Mass of Water given Practical Value of Water Content with respect to Total Mass Calculator

Mass of Water Formula:

\[ M_w = \frac{w \times 100 \times \Sigma f_i}{100} \]

Mass of Water (kg):

1. What is Mass of Water given Practical Value of Water Content?

Definition: This calculator determines the mass of water in a soil sample based on the water content percentage and total mass of the sand.

Purpose: It helps geotechnical engineers and soil scientists quantify the water content in soil samples for various analyses.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M_w = \frac{w \times 100 \times \Sigma f_i}{100} \]

Where:

\( M_w \) — Mass of water (kg)
\( w \) — Water content of soil (%)
\( \Sigma f_i \) — Total mass of sand (kg)

Explanation: The water content percentage is multiplied by the total mass of sand and divided by 100 to get the mass of water.

3. Importance of Mass of Water Calculation

Details: Accurate water mass determination is crucial for soil classification, compaction analysis, and foundation design.

4. Using the Calculator

Tips: Enter the water content as a percentage and the total mass of sand in kilograms. Water content can be 0% but total mass must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is typical water content range for soils?
A: Natural soils typically range from 5% to 40% water content, depending on soil type and conditions.

Q2: How is water content of soil measured?
A: It's measured by comparing wet and dry weights of soil samples after oven drying at 105-110°C.

Q3: Why is water content expressed as percentage?
A: Percentage allows comparison across different sample sizes and is the standard in geotechnical engineering.

Q4: Does this calculation include absorbed water?
A: Yes, it includes all water in the soil sample, both free and absorbed.

Q5: How precise should the total mass measurement be?
A: For accurate results, measure to at least 0.1g (0.0001kg) precision, especially for small samples.