Kilocalorie (th) to Megatons of TNT

Most foundational biochemical data — ATP hydrolysis (~7.3 kcal/mol), glucose oxidation (~686 kcal/mol), amino acid combustion values — were measured and published in kcal th before SI adoption. Rewriting decades of literature, lecture notes, and exam banks to kJ would introduce conversion errors and confusion. The field maintains kcal th by convention while acknowledging SI equivalents.

The standard free energy change (ΔG°) for ATP → ADP + Pi is approximately −7.3 kcal th/mol (−30.5 kJ/mol). Under actual cellular conditions, the value is closer to −12 to −14 kcal/mol because reactant and product concentrations differ from standard state. This energy drives muscle contraction, nerve impulses, protein synthesis, and virtually every energy-requiring process in living cells.

The classic Atwater factors (4 kcal/g carb, 4 kcal/g protein, 9 kcal/g fat) are averages from 19th-century bomb calorimetry, adjusted for digestibility. They can be off by 5–25% for specific foods. Almonds deliver ~20% fewer usable calories than labels claim because cell walls trap some fat from digestion. High-fiber foods also overcount. The FDA allows ±20% tolerance on label accuracy, so a "200 kcal" bar could legally contain 160–240 kcal.

Complete aerobic oxidation of one mole of glucose (C₆H₁₂O₆) releases approximately 686 kcal th (2,870 kJ). The human body captures about 38–40% of this in ATP; the rest dissipates as body heat. This is why exercise makes you warm — over half the food energy your muscles consume is released as thermal energy rather than mechanical work.

Fat molecules are highly reduced — their carbon atoms are bonded mostly to hydrogen, with very little oxygen. Oxidising them releases maximum energy because every C-H bond is converted to C=O and O-H bonds. Carbohydrates are already partially oxidised (they contain oxygen in their structure), so less additional oxidation is possible. Gram for gram, fat stores 2.25× more energy, which is why evolution favored fat as the body's long-term energy reserve — it packs the most kcal per gram of tissue weight.

One megaton equals 4.184 × 10¹⁵ joules — the energy of burning about 120 million liters of petrol or the total electricity output of a large power plant running for 50 days. A 1-megaton airburst would flatten reinforced concrete buildings within 2 km, cause third-degree burns at 10 km, and break windows at 40+ km. It is roughly 67 times the Hiroshima bomb.

The Soviet AN602 "Tsar Bomba," detonated on 30 October 1961, yielded approximately 50 megatons — the largest human-made explosion in history. It was a three-stage thermonuclear device originally designed for 100 Mt but scaled down by replacing the uranium tamper with lead to reduce fallout. The fireball was 8 km wide, and the mushroom cloud rose 67 km. It was a propaganda weapon with no practical military use.

Modern strategic warheads are smaller than Cold War designs because accuracy improved. The US W88 yields about 0.475 Mt; the W76-1 about 0.1 Mt. Russian RS-28 Sarmat MIRVs carry warheads estimated at 0.5–0.8 Mt each. Military planners found that several smaller warheads (MIRVs) destroy more area than one large one due to the cube-root scaling of blast radius with yield.

The Chicxulub impact that ended the dinosaurs released roughly 100 million megatons (10²³ J). The Tunguska event (1908) was 3–15 megatons. NASA's planetary defense threshold is objects capable of 1+ megatons of damage. A 50-meter iron asteroid striking Earth at 20 km/s would release about 10 megatons — enough to obliterate a major city.

Accuracy replaced raw yield. A 0.5 Mt warhead landing within 100 meters of a target destroys it just as effectively as a 10 Mt warhead landing 1 km away. MIRVed missiles carrying 6–10 smaller warheads also cover more total area than one massive bomb. The US retired its last megaton-class warhead (the B83) in 2022, relying entirely on sub-megaton weapons.