Question

how many dozen are in one mole? 5.0×10^{22} dozen 2.0×10^{23} dozen 6.0×10^{23} dozen 12 dozen 2.0×10^{-23} dozen

Explanation:

Step1: Recall the definition of a mole and a dozen

A mole is defined as \(6.022\times 10^{23}\) particles. A dozen is 12 particles.

Step2: Calculate the number of dozens in a mole

Let \(n\) be the number of dozens in a mole. Then \(n=\frac{6.022\times 10^{23}}{12}\).

$$n = 5.018\times10^{22}\approx5.0\times 10^{22}$$

Answer:

\(5.0\times 10^{22}\) dozen (the first option)