Use Avogadrs's number to show that the atomic mass unit is `1` u `=1.66 xx 10^(-27) kg`.

Explanation

To show that the atomic mass unit (1 u) is equal to \(1.66 \times 10^{-27}\) kg using Avogadro's number, we can follow these steps:

### Step 1: Understand the definition of a mole and Avogadro's number
1 mole of any substance contains \(6.022 \times 10^{23}\) entities (atoms, molecules, etc.). For carbon-12, 1 mole weighs 12 grams.

### Step 2: Calculate the mass of one atom of carbon-12
Since 1 mole of carbon-12 weighs 12 grams, we can express this in kilograms:
\[
...