kW Calculation Formula:
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Definition: This calculator determines the power (in kilowatts) required to heat a specific mass of water by a certain temperature change in a given time.
Purpose: It helps engineers, HVAC professionals, and homeowners calculate the energy requirements for water heating systems.
The calculator uses the formula:
Where:
Explanation: The formula calculates the energy needed to heat the water and converts it to kilowatts by dividing by time and the conversion factor 3600 (seconds to hours).
Details: Accurate power calculation ensures proper sizing of water heaters, energy efficiency, and cost-effective operation.
Tips: Enter the mass of water in kg, specific heat capacity (default 4186 J/kg·K for water), desired temperature change, and heating time. All values must be > 0.
Q1: Why is specific heat capacity important?
A: It determines how much energy is needed to raise the temperature of a substance. Water has a relatively high specific heat capacity.
Q2: Can I use Celsius instead of Kelvin for ΔT?
A: Yes, because a 1°C change equals a 1K change in temperature.
Q3: How do I convert gallons to kg for water mass?
A: 1 gallon of water ≈ 3.785 kg (at 4°C). For practical purposes, 1 gallon ≈ 3.8 kg.
Q4: What if I want to calculate for a different liquid?
A: Change the specific heat capacity value (e.g., ~2000 J/kg·K for oil).
Q5: How does this relate to my electric water heater?
A: The result shows the continuous power needed. A 4kW heater would take twice as long as an 8kW heater for the same temperature rise.