Question

question 8

1. how many atoms are in 8.26 grams of magnesium?

×10 atoms mg

Explanation:

Step1: Calculate the number of moles of Mg

The molar mass of \(Mg\) is \(M = 24.305\space g/mol\).
The number of moles \(n=\frac{m}{M}\), where \(m = 8.26\space g\).
So \(n=\frac{8.26}{24.305}\approx0.3399\space mol\).

Step2: Calculate the number of atoms using Avogadro's number

Avogadro's number \(N_A=6.022\times 10^{23}\space atoms/mol\).
The number of atoms \(N=n\times N_A\).
Substitute \(n = 0.3399\space mol\) into the formula:
\(N=0.3399\times6.022\times 10^{23}\)
\(N=(0.3399\times6.022)\times 10^{23}\)
\(0.3399\times6.022\approx2.05\)
So \(N = 2.05\times 10^{23}\space atoms\)

Answer:

\(2.05\times 10^{23}\space atoms\)