Enter the specific energy (kJ/kg) and the mass flow rate (kg/s) into the calculator to determine the power (MW). This calculator can also evaluate any of the variables when the other two are known. For batch problems (total mass and total energy) and optional power/time calculations, use the “Batch / Total Energy” tab.
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kJ/kg to MW Formula
The following formula is used to calculate power in megawatts (MW) from specific energy (kJ/kg) and mass flow rate (kg/s).
MW = \frac{(kJ/kg)\cdot M}{1000}Variables:
- MW is the power in megawatts (MW)
- kJ/kg is the specific energy in kilojoules per kilogram (kJ/kg)
- M is the mass flow rate in kilograms per second (kg/s)
To calculate the power in megawatts, multiply the specific energy (kJ/kg) by the mass flow rate (kg/s) to get kJ/s (which is kW), then divide by 1000 to convert kW to MW. If you only know a total mass processed over a time period, first compute the mass flow rate as M = mass ÷ time.
| Energy per Mass (kJ/kg) | Mass Flow Rate (kg/s) | Power (MW) |
|---|---|---|
| 100 | 0.1 | 0.010 |
| 500 | 0.5 | 0.250 |
| 1,000 | 1 | 1.000 |
| 2,257 | 1 | 2.257 |
| 2,500 | 2 | 5.000 |
| 5,000 | 1 | 5.000 |
| 10,000 | 1 | 10.000 |
| 15,000 | 0.5 | 7.500 |
| 24,000 | 1 | 24.000 |
| 26,800 | 1 | 26.800 |
| 30,000 | 2 | 60.000 |
| 43,000 | 0.5 | 21.500 |
| 43,000 | 1 | 43.000 |
| 50,000 | 1 | 50.000 |
| 50,000 | 2 | 100.000 |
| 2,257 | 0.5 | 1.129 |
| 26,800 | 0.2 | 5.360 |
| 24,000 | 0.2 | 4.800 |
| 10,000 | 5 | 50.000 |
| 5,000 | 10 | 50.000 |
| * Rounded to 3 decimals. Formula: Power (MW) = Energy per Mass (kJ/kg) × Mass Flow Rate (kg/s) ÷ 1000. | ||
What is a kJ/kg to MW conversion?
kJ/kg to MW is not a direct unit-to-unit conversion by itself, because kJ/kg is a unit of specific energy (energy per unit mass) while MW is a unit of power (energy per unit time). To calculate power (MW) from a specific energy (kJ/kg), you need additional information such as a mass flow rate (kg/s). Alternatively, if you know a total energy and a time duration, you can compute power using Power = Energy ÷ Time.
How to Calculate kJ/kg to MW?
The following steps outline how to calculate the kJ/kg to MW using the given formula:
- First, determine the specific energy in kilojoules per kilogram (kJ/kg).
- Next, determine the mass flow rate in kilograms per second (kg/s). If you only know total mass and time, compute mass flow rate = mass ÷ time.
- Next, gather the formula from above: MW = (kJ/kg × kg/s) ÷ 1000.
- Finally, calculate the power in megawatts (MW).
- 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:
specific energy (kJ/kg) = 50
mass flow rate (kg/s) = 10
power (MW) = ?
