Power Formula:
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Definition: This calculator determines the power in kilowatts (kW) required to heat a specific mass of water by a certain temperature change over a given time period.
Purpose: It helps engineers, HVAC professionals, and homeowners estimate energy requirements for water heating applications.
The calculator uses the formula:
Where:
Explanation: The formula calculates the energy needed to heat the water (m×c×ΔT) and converts it to power (kW) by dividing by time (in seconds).
Details: Accurate power calculation ensures proper sizing of water heaters, efficient energy use, and cost estimation for heating applications.
Tips: Enter the water mass in kg, specific heat capacity (default 4186 J/kg·K for water), temperature change in Kelvin, and heating time in hours. All values must be > 0.
Q1: What's the specific heat capacity of water?
A: Pure water has a specific heat of 4186 J/kg·K at 20°C. This value changes slightly with temperature and impurities.
Q2: Why is time converted to seconds?
A: The 3600 factor converts hours to seconds (1 hour = 3600 seconds) since watts are joules per second.
Q3: Can I use °C instead of Kelvin for ΔT?
A: Yes, because a 1°C change equals a 1K change in temperature.
Q4: How do I convert gallons to kg for water mass?
A: 1 US gallon of water ≈ 3.785 kg (at 4°C). Multiply gallons by 3.785 to get kg.
Q5: Does this account for heat loss?
A: No, this calculates theoretical minimum power. Add 10-20% for real-world heat loss in uninsulated systems.