Question

1. determine the mass of each of the following: a. 1 gold atom

Explanation:

Step1: Recall molar - mass and Avogadro's number

The molar mass of gold ($Au$) is $M = 196.97\ g/mol$, and Avogadro's number $N_A=6.022\times 10^{23}\ atoms/mol$.

Step2: Calculate the mass of one gold atom

We use the formula $m=\frac{M}{N_A}$, where $m$ is the mass of one atom. Substituting the values, we have $m = \frac{196.97\ g/mol}{6.022\times 10^{23}\ atoms/mol}$.

$$m=\frac{196.97}{6.022\times 10^{23}}\ g/atom\approx3.27\times 10^{-22}\ g/atom$$

Answer:

$3.27\times 10^{-22}\ g$