Final answer:
In one mole, there are 5.018 x 10^22 dozens, which is calculated by dividing Avogadro's number 6.022 x 10^23 by 12. The options provided in the question seem to be incorrect or the question might be misunderstood, as none of the choices align with the correct calculation.
Step-by-step explanation:
The student asks how many dozens are in 1 mol. To answer this question, we need to use Avogadro's number, which is the number of particles in one mole of a substance. Avogadro's number is 6.022 x 1023 particles.
Since 1 dozen is equal to 12 items, we divide Avogadro's number by 12 to find out how many dozens are in a mole:
6.022 x 1023 ÷ 12 = 5.0183 x 1022 dozens
However, this figure is not one of the options provided. The closest correct option, using scientific notation with four significant figures, would be:
Option B: 5.018 x 1022 dozens
Since this exact value isn't one of the provided options, there seems to be an error. Based on the choices given, the closest value to our calculation would be:
Option B: 6.022 x 1023 dozens, although this actually represents the number of particles in a mole, not the number of dozens, indicating the options may be incorrect or the question is misunderstood.