Enter the mass flow rate, specific heat, and temperature change into the calculator to determine the power output in kilowatts. This calculator helps in converting a mass flow rate from kg/h to power in kW.
- All Unit Converters
- Specific Heat Calculator
- Mass Flow Rate Calculator
- KJ/Kg to KW Calculator
- Enthalpy Calculator
- Heat Input Calculator
- Output Power Calculator
Kg/H to kW Formula
The following formula is used to convert a mass flow rate in kg/h to power in kW.
P (kW) = (ṁ / 3600) * c * ΔT
Variables:
- P is the power output (kW)
- ṁ is the mass flow rate (kg/h)
- c is the specific heat of the fluid (kJ/kg·K)
- ΔT is the temperature change (K)
To calculate the power output in kilowatts, convert the mass flow rate from kg/h to kg/s by dividing by 3600, then multiply by the specific heat and the temperature change.
| Mass Flow Rate (kg/h) | Power (kW) |
|---|---|
| 50 | 1.163 |
| 75 | 1.744 |
| 100 | 2.326 |
| 150 | 3.488 |
| 200 | 4.651 |
| 250 | 5.814 |
| 300 | 6.977 |
| 400 | 9.302 |
| 500 | 11.628 |
| 600 | 13.953 |
| 750 | 17.442 |
| 1,000 | 23.256 |
| 1,500 | 34.883 |
| 2,000 | 46.511 |
| 2,500 | 58.139 |
| 3,000 | 69.767 |
| 4,000 | 93.022 |
| 5,000 | 116.278 |
| 7,500 | 174.417 |
| 10,000 | 232.556 |
| * Rounded to 3 decimals. Formula: P (kW) = (ṁ (kg/h) / 3600) × c (kJ/kg·K) × ΔT (K). Assumes water: c = 4.186 kJ/kg·K and ΔT = 20 K. | |
What is Specific Heat?
Specific heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius or Kelvin. It is a property that describes how much energy a substance can absorb before its temperature changes. The specific heat of a substance can vary depending on its state (solid, liquid, or gas) and temperature.
How to Calculate Power Output from Mass Flow Rate?
The following steps outline how to calculate the power output from a mass flow rate in kg/h.
- First, determine the mass flow rate (ṁ) in kg/h.
- Next, determine the specific heat (c) of the fluid in kJ/kg·K.
- Next, determine the temperature change (ΔT) in Kelvin.
- Next, gather the formula from above = P (kW) = (ṁ / 3600) * c * ΔT.
- Finally, calculate the power output (P) in kilowatts.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Mass flow rate (ṁ) = 5000 kg/h
Specific heat (c) = 4.2 kJ/kg·K
Temperature change (ΔT) = 50 K
