Relative Humidity Given Degree Of Saturation Calculator

Relative Humidity Formula:

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

Degree of Saturation (S):

(0-1)

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

Total Pressure of Moist Air (pₜ):

Relative Humidity (Φ):

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1. What is Relative Humidity?

Relative Humidity is the ratio of the partial pressure of water vapor in the air to the saturation vapor pressure at a given temperature. It indicates how much moisture the air contains relative to the maximum it can hold at that temperature.

2. How Does the Calculator Work?

The calculator uses the Relative Humidity formula:

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

Where:

\( \Phi \) — Relative Humidity
\( S \) — Degree of Saturation (0-1)
\( p_s \) — Partial Pressure of Water Vapour in Saturated Air (Pa)
\( p_t \) — Total Pressure of Moist Air (Pa)

Explanation: This formula calculates relative humidity based on the degree of saturation and the partial/total pressure relationship in moist air.

3. Importance of Relative Humidity Calculation

Details: Accurate relative humidity calculation is crucial for weather forecasting, HVAC systems, industrial processes, and maintaining comfortable and healthy indoor environments.

4. Using the Calculator

Tips: Enter degree of saturation (0-1), partial pressure of water vapour in saturated air (Pa), and total pressure of moist air (Pa). All values must be valid (S between 0-1, pₛ > 0, pₜ > 0, pₛ ≤ pₜ).

5. Frequently Asked Questions (FAQ)

Q1: What is the range of relative humidity values?
A: Relative humidity ranges from 0% (completely dry air) to 100% (fully saturated air where condensation occurs).

Q2: How does temperature affect relative humidity?
A: Warmer air can hold more moisture, so relative humidity decreases as temperature increases if the absolute moisture content remains constant.

Q3: What is the difference between relative humidity and absolute humidity?
A: Relative humidity is a percentage of moisture relative to maximum capacity, while absolute humidity is the actual mass of water vapor per volume of air.

Q4: Why is relative humidity important for human comfort?
A: Relative humidity between 30-60% is generally considered comfortable for humans. Lower levels can cause dry skin and respiratory issues, while higher levels can feel muggy and promote mold growth.

Q5: How is relative humidity measured in practice?
A: Relative humidity is commonly measured using hygrometers, psychrometers, or electronic sensors that detect changes in electrical capacitance or resistance due to moisture.