Emc2 Calculator

Convert mass into its energy equivalent using Einstein's mass-energy formula, E = mc². Enter a mass and a conversion efficiency to see the energy released in joules, kilowatt-hours, and TNT equivalent.

Quick Facts

The formula
E = mc² — mass and energy are equivalent
c = 299,792,458 m/s (exact, SI-defined); c² ≈ 8.988×10¹⁶ m²/s².
Scale
1 gram, fully converted, ≈ 90 terajoules
Equivalent to about 25 million kWh or roughly 21.5 kilotons of TNT.

Results

Calculated
Energy released
—
E = mc² × efficiency
In kilowatt-hours
—
Electrical energy equivalent
TNT equivalent
—
1 ton TNT = 4.184×10⁹ J
Full rest-mass energy
—
E = mc² at 100% conversion

Ready

Enter a mass and conversion efficiency, then press Calculate.

How to use this calculator

Enter a mass, choose its unit, and set what share of that mass is actually converted to energy. Click Calculate to apply Einstein's mass-energy equivalence formula, E = mc², and see the result in four ways. Click Reset to return to the default 1-gram, 100%-efficiency example.

The formula: E = mc²

Einstein's 1905 equation states that energy (E, in joules) equals mass (m, in kilograms) multiplied by the speed of light (c, in meters per second) squared. The constant c is exactly 299,792,458 m/s by SI definition, so c² is about 8.988×10¹⁶ m²/s². Because that number is so large, even a small mass corresponds to an enormous amount of energy — this is the "full rest-mass energy," the theoretical maximum if every bit of the mass were converted.

Understanding the inputs

Mass is the quantity being converted, entered in grams, kilograms, milligrams, or pounds — the calculator converts it to kilograms before applying the formula. Conversion efficiency is the fraction of that mass actually turned into energy: no real-world process converts 100% of its mass except matter-antimatter annihilation. Chemical reactions convert roughly a billionth of a percent of their mass, nuclear fission around 0.1%, and nuclear fusion around 0.7%. Set efficiency to 100% to see the theoretical maximum (pure E = mc²), or lower it to model a realistic process.

Interpreting the results

Energy released is the actual output at your chosen efficiency, shown in joules with an appropriate metric prefix (kJ, MJ, GJ, TJ, and so on). In kilowatt-hours reframes that same energy as electricity, the unit on a power bill. TNT equivalent compares it to a standard explosive yield (1 ton of TNT is defined as 4.184×10⁹ J). Full rest-mass energy always shows the 100%-efficiency figure for your mass, E = mc² itself, so you can see how far a real process falls short of the theoretical maximum.

Frequently Asked Questions

What is Einstein's equation E=mc²?
E=mc² is Einstein's mass-energy equivalence formula. E is energy in joules, m is mass in kilograms, and c is the speed of light in vacuum, exactly 299,792,458 meters per second. The equation says mass and energy are two forms of the same thing: any mass m has an intrinsic rest energy equal to mc², whether or not that energy is ever released.
Why is the energy number so large?
Because c² is about 9×10¹⁶ in SI units, even a tiny mass corresponds to a huge amount of energy. Fully converting just 1 gram of mass releases roughly 90 terajoules, about 25 million kilowatt-hours, or about 21.5 kilotons of TNT equivalent — which is why nuclear reactions release so much more energy than chemical ones for the same mass of fuel.
Does every kilogram of matter release all of this energy?
No. E=mc² gives the total rest-mass energy contained in matter, but ordinary processes convert only a small fraction of it to usable energy. Chemical reactions convert roughly one part in a billion of the reactants' mass; nuclear fission converts around 0.1%; nuclear fusion converts around 0.7%. Full 100% conversion only happens in matter-antimatter annihilation, which is why this calculator includes an efficiency input.
What units does this calculator use?
Enter mass in grams, kilograms, milligrams, or pounds. The calculator converts your mass to kilograms and applies E=mc² with c = 299,792,458 m/s. Results are shown in joules (the SI unit of energy), kilowatt-hours, and tons of TNT equivalent, using 1 ton TNT = 4.184×10⁹ J.