Watt Hour to Kilocalorie (th)
Wh
kcal (th)
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
| No conversion history to show. | ||
Quick Reference Table (Watt Hour to Kilocalorie (th))
| Watt Hour (Wh) | Kilocalorie (th) (kcal (th)) |
|---|---|
| 1 | 0.86042065009560229446 |
| 5 | 4.30210325047801147228 |
| 10 | 8.60420650095602294455 |
| 20 | 17.2084130019120458891 |
| 50 | 43.02103250478011472275 |
| 100 | 86.04206500956022944551 |
| 500 | 430.21032504780114722753 |
About Watt Hour (Wh)
A watt-hour (Wh) is the energy consumed or produced by a one-watt device operating for one hour, equal to 3,600 joules. It is widely used for small battery and energy storage capacities — smartphone batteries, power banks, and small electronic devices. A smartphone battery holds roughly 10–15 Wh; a laptop 50–100 Wh. The watt-hour is the stepping-stone unit between the joule (too small for practical appliance use) and the kilowatt-hour (the billing unit for mains electricity).
A phone charger running for an hour uses about 5–10 Wh. A 100 Wh portable power bank can charge a typical smartphone about seven times.
About Kilocalorie (th) (kcal (th))
A thermochemical kilocalorie (kcal th) equals 4,184 joules — one thousand thermochemical calories. It is used in physical chemistry and biochemistry for expressing heats of reaction, bond dissociation energies, and metabolic energy yields. Biochemistry textbooks routinely express the energy yield of ATP hydrolysis (~7.3 kcal/mol) and glucose oxidation (~686 kcal/mol) in this unit. It differs from the nutritional kilocalorie by 0.07% — negligible in practice but important in precise thermochemical work.
Complete oxidation of one mole of glucose yields approximately 686 kcal (th). The heat of combustion of ethanol is about 327 kcal (th) per mole.
Watt Hour – Frequently Asked Questions
Why are portable battery capacities listed in watt-hours instead of milliamp-hours?
Watt-hours account for both current and voltage, giving the true energy stored. A 10,000 mAh power bank at 3.7 V holds 37 Wh, but at 5 V output it delivers only about 7,400 mAh due to voltage conversion losses. Airlines use the Wh rating (max 100 Wh carry-on) because it reflects actual energy — and therefore actual fire risk — regardless of battery voltage.
How many watt-hours does a typical smartphone battery hold?
Most smartphones have batteries rated at 10–18 Wh. An iPhone 15 Pro holds about 12.7 Wh; a Samsung Galaxy S24 Ultra about 18.4 Wh. For context, fully charging an 18 Wh phone from a wall outlet costs less than 0.01 kWh — roughly one-tenth of a cent on a typical electricity bill.
What is the airline limit for lithium batteries in watt-hours?
Most airlines allow lithium-ion batteries up to 100 Wh in carry-on luggage without approval. Batteries between 100 and 160 Wh (e.g., large camera or drone batteries) require airline permission, and batteries above 160 Wh are banned from passenger flights. A standard laptop battery is 50–100 Wh; a large power tool battery can exceed 160 Wh.
Why did the electronics industry settle on watt-hours instead of joules for battery labels?
Watt-hours map directly to how consumers think about devices: a 50 Wh battery powering a 10 W laptop lasts about 5 hours — simple division. Expressing the same battery as 180,000 joules gives no intuitive sense of runtime. Airlines also adopted Wh for lithium battery safety limits (100 Wh carry-on threshold) because it communicates energy density risk in a unit engineers and passengers can both grasp.
How many watt-hours does it cost to charge a laptop?
A typical laptop battery holds 50–100 Wh, so a full charge from empty uses 50–100 Wh of energy (plus about 10–15% lost as heat in the charger). At average US electricity rates, that is roughly 1–2 cents per charge. Over a year of daily charging, a laptop costs about $4–$7 in electricity — far less than most people assume.
Kilocalorie (th) – Frequently Asked Questions
Why do biochemistry textbooks use thermochemical kilocalories instead of kilojoules?
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.
How much energy does ATP hydrolysis release in thermochemical kilocalories?
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.
How accurate are the Atwater factors used to calculate calories on food labels?
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.
How many kcal th are released when one mole of glucose is fully oxidised?
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.
Why does the energy yield of fat (9 kcal/g) differ so much from carbohydrate (4 kcal/g)?
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.