Question

section 10.1 measuring matter
in your textbook, read about counting particles.
in column b, rank the quantities from column a from smallest to largest.
column a column b
0.5 mol 1. ______________
200 2. ______________
5 3. ______________
6,000,000,000 4. ______________
6.02 × 10²³ 5. ______________
dozen 6. ______________
four moles 7. ______________
gross 8. ______________
pair 9. ______________
ream 10. ______________

Explanation:

Step1: Convert all quantities to number of particles

• \(0.5\space mol\): \(0.5\times6.02\times 10^{23}=3.01\times 10^{23}\)
• \(200\): \(200\)
• \(5\): \(5\)
• \(6,000,000,000 = 6\times 10^{9}\)
• \(6.02\times 10^{23}\): \(6.02\times 10^{23}\)
• \(dozen\): \(12\)
• \(four\space moles\): \(4\times6.02\times 10^{23}=2.408\times 10^{24}\)
• \(gross\): \(144\)
• \(pair\): \(2\)
• \(ream\): \(500\)

Step2: Sort the converted values

\(2<5 < 12<144<200 < 500<6\times 10^{9}<3.01\times 10^{23}<6.02\times 10^{23}<2.408\times 10^{24}\)

Answer:

1. pair
2. \(5\)
3. dozen
4. gross
5. \(200\)
6. ream
7. \(6,000,000,000\)
8. \(0.5\space mol\)
9. \(6.02\times 10^{23}\)
10. four moles