Kilograms (kg) to Troy Ounces (ozt) conversion

What is Kilograms?

Kilogram (kg) is the base unit of mass in the International System of Units (SI). It is a fundamental unit used to measure the amount of matter in an object. Unlike units like length or time, the kilogram's definition has historically been tied to a physical artifact.

Defining the Kilogram: From Artifact to Fundamental Constant

The IPK: A Piece of Platinum-Iridium

For over a century, the kilogram was defined by the International Prototype Kilogram (IPK), a platinum-iridium cylinder stored at the International Bureau of Weights and Measures (BIPM) in France. This meant that the mass of every kilogram in the world was traceable back to this single object.

The Problem with the Artifact

The IPK was not a perfect standard. Over time, it was observed to have changed mass slightly compared to its official copies. This instability, however small, was a major concern for scientific measurements that require utmost precision.

The New Definition: Based on Planck's Constant

On May 20, 2019, the kilogram was redefined based on fundamental constants of nature. The new definition is linked to the Planck constant ($h$), a cornerstone of quantum mechanics. The Planck constant has a fixed numerical value when expressed in SI units:

$h = 6.62607015 × 10⁻³⁴ kg⋅m^2⋅s^{-1}$

By fixing the value of $h$, scientists can realize the kilogram through experiments involving quantum phenomena. This change provides a far more stable and reproducible definition than relying on a physical object. The experiment that is commonly used to realize the kilogram based on Planck's constant is called a Kibble balance.

Mass vs. Weight

It's important to distinguish between mass and weight. Mass (measured in kilograms) is the amount of matter in an object, while weight is the force exerted on that object due to gravity. Weight is measured in Newtons (N). The relationship between mass and weight is:

$Weight = mass × gravity$ or $W = mg$

Where:

• $W$ is weight (in Newtons)
• $m$ is mass (in kilograms)
• $g$ is the acceleration due to gravity (approximately 9.81 $m/s^2$ on Earth's surface)

Kilograms in Everyday Life: Examples

• Food: Groceries are often sold by the kilogram, such as fruits, vegetables, and meat.
• Human Body Weight: People often measure their body mass in kilograms.
• Construction Materials: Cement, sand, and other building materials are often bought and sold by the kilogram or metric ton (1000 kg).
• Shipping and Logistics: The weight of packages and cargo is a crucial factor in shipping costs and logistics.

Interesting Facts

• Prefixes: Kilogram is unique in that it's the only SI base unit with a prefix already in its name ("kilo," meaning 1000).
• The Kibble Balance: The Kibble balance (also known as a watt balance) is the instrument used to realize the new definition of the kilogram by linking mass to the Planck constant. For more information, you can read about the NIST's Kibble Balance.

What is the Troy Ounce?

The troy ounce is a unit of mass used almost exclusively for precious metals such as gold, silver, platinum, and palladium. It is the standard weight quoted on global bullion markets.

Definition

The troy ounce is defined as exactly 480 grains, which equals 31.1034768 grams:

$$1\ \text{ozt} = 0.0311035\ \text{kg}$$

By definition, 1 troy ounce = 480 grains = 31.1034768 g exactly, and 12 troy ounces make one troy pound (≈373.242 g). Note that the troy ounce is heavier than the more familiar avoirdupois ounce (≈28.3495 g).

Origin and History

The troy system takes its name from the French market town of Troyes, a major medieval trading hub. It descends from the Roman monetary system and was standardized in England for coinage and precious metals, later adopted across Europe and the English-speaking world.

Law and Notable Facts

The troy ounce remains the legal basis for bullion trading and coinage weights; in the United States it is codified for precious-metal transactions. A curious consequence is that a pound of gold (troy, ~373 g) actually weighs less than a pound of feathers (avoirdupois, ~454 g).

Real-World Examples and Conversions

A standard Good Delivery gold bar weighs about 400 troy ounces (≈12.4 kg). A 1 oz American Gold Eagle contains one troy ounce (31.1 g) of gold. When gold is quoted at "$2,000 per ounce," that means per troy ounce, not the avoirdupois ounce.