Question

1. metal - find the mass of the piece of metal.

a) calculate the number of moles in the sample.

b) calculate the number of atoms in the sample.

Explanation:

Step1: Calculate the number of moles

The formula for calculating the number of moles ($n$) is $n=\frac{m}{M}$, where $m$ is the mass and $M$ is the molar mass.
Given $m = 29.07\ g$ and $M=65.409\ g/mol$.
$n=\frac{29.07}{65.409}\approx0.4444\ mol$

Step2: Calculate the number of atoms

Use Avogadro's number $N_A = 6.022\times10^{23}\ atoms/mol$.
The formula for the number of atoms ($N$) is $N=n\times N_A$.
Substitute $n = 0.4444\ mol$ into the formula:
$N=0.4444\times6.022\times 10^{23}$
$N = 2.677\times10^{23}\ atoms$

Answer:

a) The number of moles is approximately $0.4444\ mol$.
b) The number of atoms is approximately $2.677\times 10^{23}\ atoms$.