Degree Of Saturation Given Relative Humidity Calculator

Degree Of Saturation Given Relative Humidity Formula:

\[ S = \Phi \times \frac{1 - \frac{p_s}{p_t}}{1 - \frac{\Phi \times p_s}{p_t}} \]

Relative Humidity (Φ):

(unitless)

Partial Pressure of Water Vapour in Saturated Air (pₛ):

Total Pressure of Moist Air (pₜ):

Degree of Saturation (S):

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1. What is Degree of Saturation?

Degree of saturation is the ratio of the volume of water to the volume of voids in a soil or air mixture. It indicates how much of the void space is filled with water compared to the maximum possible amount.

2. How Does the Calculator Work?

The calculator uses the Degree of Saturation formula:

\[ S = \Phi \times \frac{1 - \frac{p_s}{p_t}}{1 - \frac{\Phi \times p_s}{p_t}} \]

Where:

\( S \) — Degree of saturation (unitless)
\( \Phi \) — Relative humidity (unitless)
\( p_s \) — Partial pressure of water vapour in saturated air (Pa)
\( p_t \) — Total pressure of moist air (Pa)

Explanation: The formula calculates the degree of saturation based on relative humidity and pressure relationships in moist air.

3. Importance of Degree of Saturation Calculation

Details: Calculating degree of saturation is important in soil mechanics, geotechnical engineering, and atmospheric sciences to understand moisture content and air-water relationships in various materials and environments.

4. Using the Calculator

Tips: Enter relative humidity as a decimal between 0 and 1, partial pressure and total pressure in Pascals. Ensure partial pressure is less than or equal to total pressure.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between degree of saturation and relative humidity?
A: Relative humidity measures air moisture content relative to maximum capacity at a given temperature, while degree of saturation specifically measures the ratio of water volume to void volume.

Q2: What are typical values for degree of saturation?
A: Degree of saturation ranges from 0 (completely dry) to 1 (completely saturated). Most natural soils have values between 0.2 and 0.9.

Q3: How is partial pressure of water vapour determined?
A: Partial pressure of water vapour in saturated air is obtained from steam tables corresponding to the dry bulb temperature of the air.

Q4: What units should be used for pressure values?
A: While Pascals are used in this calculator, consistent pressure units can be used as long as both partial pressure and total pressure use the same units.

Q5: When is this calculation most useful?
A: This calculation is particularly useful in geotechnical engineering for soil analysis and in HVAC systems for moisture control calculations.