Question

1. how many moles of magnesium are there in 3.01 x10²² atoms of mg? c. conversion of mass to mole mass to mole

Explanation:

Step1: Recall Avogadro's number

Avogadro's number \(N_A = 6.02\times10^{23}\text{ atoms/mol}\). The formula to convert the number of atoms \(N\) to moles \(n\) is \(n=\frac{N}{N_A}\).

Step2: Substitute the values

Given \(N = 3.01\times 10^{22}\text{ atoms}\) and \(N_A=6.02\times 10^{23}\text{ atoms/mol}\). Then \(n=\frac{3.01\times 10^{22}}{6.02\times 10^{23}}\).
Simplify the expression: \(\frac{3.01\times 10^{22}}{6.02\times 10^{23}}=\frac{3.01}{6.02}\times10^{22 - 23}\). Since \(\frac{3.01}{6.02}=0.5\) and \(10^{22-23}=10^{-1}\), we have \(n = 0.05\text{ mol}\).

Answer:

\(0.05\) moles