Billions (short Scale) to Moles (B to mol)
1 billion (short scale) equals 1.660539067×10⁻¹⁵ moles (rounded).
How to convert billions (short scale) to moles
To convert billions (short scale) to moles, multiply the number of billions (short scale) by 1.660539067×10⁻¹⁵. The factor is rounded to 10 significant digits. To go the other way, multiply moles by 602,214,076,000,000.
moles = billions (short scale) × 1.660539067×10⁻¹⁵
Example: 10 billions (short scale) = 1.660539067×10⁻¹⁴ moles.
Large-number names differ around the world: this site uses the short scale (billion = 10⁹) by default, and lists the long-scale billion separately.
About these units
Billion (short Scale) (B)
One thousand million (10⁹). The meaning used in the US, UK and most English-speaking countries today.
For decades British and American speakers meant different things by billion. The short-scale sense, a thousand million, took hold in the United States in the 19th century, while Britain kept the older meaning of a million million. From the 1950s the short scale spread through British technical writing and journalism, and Winston Churchill had remarked in 1941 that for practical financial purposes a billion was a thousand millions.
The official break came on December 20, 1974. Asked in Parliament whether ministers would be required to use the traditional British meaning, Prime Minister Harold Wilson answered no, explaining that billion was now used internationally for 1,000 million and that using it any other way would cause confusion. He conceded it could still be read as a million million and asked colleagues to avoid ambiguity. Today a billion is 10⁹, matching the SI prefix giga, and the UN projected that world population would reach 8 billion on November 15, 2022.
1 billion (short scale) = 1,000,000,000 pieces (exactly).
Sources: Hansard, 20 Dec 1974: Billion (Definition), written answer; Wikipedia: Billion; United Nations: Day of Eight Billion
Mole (mol)
Exactly 6.02214076×10²³ entities (the Avogadro number). The SI unit for amount of substance in chemistry.
The mole counts particles the way a dozen counts eggs, only on a vastly larger scale: exactly 6.02214076 × 10²³ elementary entities, which may be atoms, molecules, ions, electrons, or other specified particles. The mole became the seventh SI base unit in 1971, and the term itself dates from around 1900, shortened from the German Molekül. In 1909 Jean Perrin named the number in honor of Amedeo Avogadro.
Until 2019 a mole was the number of atoms in 0.012 kilogram of carbon-12, so the count depended on the kilogram. Effective May 20, 2019, the SI fixed the number itself, and the mole no longer rests on a physical sample. As a result the molar mass of carbon-12 is no longer known exactly. The chosen number kept it at 0.012 kilogram per mole, with a relative uncertainty of 4.5 × 10⁻¹⁰, at the moment of adoption. For scale, about 18 grams of water holds roughly this many molecules.
1 mole = 6.02214076×10²³ pieces (exactly).
Sources: BIPM SI Brochure, 9th edition (2019); NIST: Redefining the mole; Wikipedia: Avogadro constant
Related conversions
- Moles to billions (short scale) (reverse)
- Billions (short scale) to pieces
- Billions (short scale) to dozens
- Billions (short scale) to lakhs
- Billions (short scale) to millions
- Billions (short scale) to crores
- Billions (short scale) to pairs
- Billions (short scale) to hundred
- Billions (short scale) to gross
- Billions (short scale) to thousand
- Billions (short scale) to trillions (short scale)
- Billions (short scale) to score
- Billions (short scale) to half dozens
- Pieces to moles
- Dozens to moles
- Lakhs to moles
- Millions to moles
- Crores to moles
See all counting & quantity units.