Question

calculate the number of atoms in 3.0 moles k. what goes in the green blank for the unit cancellation? 3.0 moles k 3.0 moles k 1.0 mole k 5.0×10^{-24} atoms k 6.02×10^{23} atoms k

Explanation:

Step1: Recall Avogadro's number

Avogadro's number ($N_A$) is $6.02\times 10^{23}$ atoms/mol. When using unit - cancellation (dimensional analysis) to convert moles to atoms, the conversion factor is based on the relationship between moles and atoms.

Step2: Analyze the unit - cancellation setup

We have 3.0 moles of K. To cancel the mole unit, the denominator of the conversion factor should be in moles. The conversion factor for converting moles of an element to atoms of that element is $\frac{6.02\times 10^{23}\text{ atoms K}}{1.0\text{ mole K}}$.

Answer:

$1.0$ mole K