Question

one half of a mole of atoms would contain how many atoms?
a $3.011×10^{23}$
b $6.022×10^{23}$
c $6.022×10^{11.5}$
d 0.5

Explanation:

Step1: Recall Avogadro's number

Avogadro's number \(N_A = 6.022\times 10^{23}\text{ atoms/mol}\).

Step2: Calculate the number of atoms

If \(n = 0.5\text{ mol}\), use the formula \(N=n\times N_A\). Substitute \(n = 0.5\) and \(N_A=6.022\times 10^{23}\text{ atoms/mol}\) into the formula: \(N = 0.5\times6.022\times 10^{23}\text{ atoms}\).

$$N=3.011\times 10^{23}\text{ atoms}$$

Answer:

A. \(3.011\times 10^{23}\)