Water Boiling Temperature Pressure Calculator

Water Boiling Temperature Equation:

\[ T_b = \frac{1}{\frac{1}{T_0} - \frac{R}{\Delta H_{vap}} \ln \left( \frac{P}{P_0} \right)} \]

Boiling Temperature (T_b):

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1. What is the Water Boiling Temperature Equation?

The water boiling temperature equation calculates the boiling point of water at different pressures using the Clausius-Clapeyron relation. It provides the relationship between pressure and boiling temperature based on thermodynamic principles.

2. How Does the Calculator Work?

The calculator uses the boiling temperature equation:

\[ T_b = \frac{1}{\frac{1}{T_0} - \frac{R}{\Delta H_{vap}} \ln \left( \frac{P}{P_0} \right)} \]

Where:

\( T_b \) — Boiling temperature (K)
\( T_0 \) — Standard boiling temperature (373.15 K)
\( R \) — Gas constant (8.314 J/mol·K)
\( \Delta H_{vap} \) — Enthalpy of vaporization (40650 J/mol)
\( P \) — Pressure (Pa)
\( P_0 \) — Standard pressure (101325 Pa)

Explanation: The equation describes how the boiling point of water changes with atmospheric pressure, following the Clausius-Clapeyron relation for phase transitions.

3. Importance of Boiling Temperature Calculation

Details: Accurate boiling temperature calculation is crucial for various scientific, industrial, and culinary applications where pressure conditions differ from standard atmospheric pressure.

4. Using the Calculator

Tips: Enter pressure in Pascals (Pa). The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why does boiling temperature change with pressure?
A: Boiling occurs when vapor pressure equals atmospheric pressure. Higher pressure requires higher temperature to reach boiling point.

Q2: What is the standard boiling point of water?
A: At standard atmospheric pressure (101325 Pa), water boils at 100°C (373.15 K).

Q3: How does altitude affect boiling temperature?
A: At higher altitudes with lower atmospheric pressure, water boils at lower temperatures.

Q4: What are typical pressure values for different altitudes?
A: Sea level: ~101325 Pa, 1000m altitude: ~90000 Pa, 2000m altitude: ~79500 Pa, 3000m altitude: ~70000 Pa.

Q5: Can this equation be used for other liquids?
A: The same principle applies, but different liquids have different \( \Delta H_{vap} \) values and standard boiling points.