Question

If you have 3x10^23 caffeine molecules, approximately how many miles of caffeine do you have?

Answer 1

Answer: 0.5 moles

Step-by-step explanation:

Based on Avogadro's law:

1 mole of any substance has 6.02 x 10^23 molecules

So, 1 mole of caffeine = 6.02 x 10^23 molecules

Z moles = 3x10^23 molecules

To get the value of Z, cross multiply:

(3 x 10^23 molecules x 1mole) = (6.02 x 10^23 molecules x Z moles)

3 x 10^23 = (6.02 x 10^23 x Z)

Z = (3 x 10^23) ➗ (6.02 x 10^23)

Z = 0.498 moles

[Round 0.498 moles to the nearest tenth as 0.5 moles]

Thus, there are approximately 0.5 moles of caffeine