Convert Troy ounce to Kilogram
Unit definitions
Troy ounce
The troy ounce is the standard unit of mass for precious metals. It is equal to $31.103\,476\,8$ grams.
Kilogram
The kilogram is the SI base unit of mass. Since the 2019 redefinition of the SI base units, it is defined by using the fixed numerical value of the Planck's constant ($h$) to be $6.626\,070\,15 \times 10^{-34} \ \text{J}\text{s}$. $$h = 6.626\,070\,15 \times 10^{-34} \ \text{J}\text{s}$$ $$h = 6.626\,070\,15 \times 10^{-34} \ \text{kg}\text{m}^2\text{s}^{-2}\cdot\text{s}$$ $$h = 6.626\,070\,15 \times 10^{-34} \ \text{kg}\text{m}^2\text{s}^{-1}$$ Therefore, $$1 \ \text{kg} = \frac{h}{6.626\,070\,15 \times 10^{-34} \ \text{m}^2\text{s}^{-1}}$$ $$1 \ \text{kg} = \frac{h}{6.626\,070\,15 \times 10^{-34}} \ \text{m}^{-2} \text{s}$$
How to convert Troy ounce to Kilogram
$$\text{Mass}_{\text{kg}} = \text{Mass}_{\text{oz t}} \cdot 0.0311034768$$
Examples
Example 1
Convert $20.0\ \text{oz t}$ to $\text{kg}$.
$$\text{Mass}_{\text{kg}} = 20.0 \cdot 0.0311034768$$
$$\text{Mass}_{\text{kg}} = 0.62207$$
$$\therefore \ 20.0\ \text{oz t} = 0.62207 \ \text{kg}$$
Example 2
Convert $75.0\ \text{oz t}$ to $\text{kg}$.
$$\text{Mass}_{\text{kg}} = 75.0 \cdot 0.0311034768$$
$$\text{Mass}_{\text{kg}} = 2.332761$$
$$\therefore \ 75.0\ \text{oz t} = 2.332761 \ \text{kg}$$
Example 3
Convert $110.0\ \text{oz t}$ to $\text{kg}$.
$$\text{Mass}_{\text{kg}} = 110.0 \cdot 0.0311034768$$
$$\text{Mass}_{\text{kg}} = 3.421382$$
$$\therefore \ 110.0\ \text{oz t} = 3.421382 \ \text{kg}$$
Example 4
Convert $145.0\ \text{oz t}$ to $\text{kg}$.
$$\text{Mass}_{\text{kg}} = 145.0 \cdot 0.0311034768$$
$$\text{Mass}_{\text{kg}} = 4.510004$$
$$\therefore \ 145.0\ \text{oz t} = 4.510004 \ \text{kg}$$
Example 5
Convert $185.0\ \text{oz t}$ to $\text{kg}$.
$$\text{Mass}_{\text{kg}} = 185.0 \cdot 0.0311034768$$
$$\text{Mass}_{\text{kg}} = 5.754143$$
$$\therefore \ 185.0\ \text{oz t} = 5.754143 \ \text{kg}$$