Water Boiling Time Calculator

Water Boiling Time Formula:

\[ t = \frac{ m c_p (T_b - T_i) + m \Delta H_{vap} }{P} \]

Mass of Water (m):

Initial Temperature (T_i):

Boiling Temperature (T_b):

Heating Power (P):

Time to Boil (t):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Water Boiling Time Formula?

The water boiling time formula calculates the time required to bring a given mass of water from its initial temperature to boiling point and then completely vaporize it, given a constant heating power input.

2. How Does the Calculator Work?

The calculator uses the water boiling time formula:

\[ t = \frac{ m c_p (T_b - T_i) + m \Delta H_{vap} }{P} \]

Where:

\( t \) — Time to boil (seconds)
\( m \) — Mass of water (kg)
\( c_p \) — Specific heat capacity of water (4184 J/kg·K)
\( T_b \) — Boiling temperature (K)
\( T_i \) — Initial temperature (K)
\( \Delta H_{vap} \) — Latent heat of vaporization (2.26×10⁶ J/kg)
\( P \) — Heating power (W)

Explanation: The formula accounts for both the energy needed to heat the water to boiling point and the additional energy required to vaporize it completely.

3. Importance of Boiling Time Calculation

Details: Accurate boiling time estimation is crucial for energy efficiency planning, cooking applications, industrial processes, and scientific experiments involving water phase changes.

4. Using the Calculator

Tips: Enter mass in kilograms, temperatures in Kelvin, and heating power in watts. Ensure all values are positive and that boiling temperature is higher than initial temperature.

5. Frequently Asked Questions (FAQ)

Q1: Why use Kelvin instead of Celsius?
A: The formula requires absolute temperature values for accurate energy calculations. Temperature differences are the same in both scales.

Q2: What is the typical boiling point of water?
A: At standard atmospheric pressure (1 atm), water boils at 373.15 K (100°C). This may vary with altitude and pressure.

Q3: Can this calculator be used for other liquids?
A: The formula is general, but you would need to use the appropriate specific heat capacity and latent heat values for the specific liquid.

Q4: Does this account for heat loss to surroundings?
A: No, this calculation assumes ideal conditions with no heat loss. Actual times may be longer due to energy dissipation.

Q5: What if I only want to heat water to boiling, not vaporize it?
A: For heating to boiling only, omit the latent heat term: \( t = \frac{ m c_p (T_b - T_i) }{P} \)