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Classify each of the following values by the number of significant figures present in each.

1. 8.314 J/mol-K
2. 6.022 × 10\[^{23}\] mol\[^{-1}\]
3. 12 mL
4. 1.2 years
5. 7.0 m\[^2\]
6. 50 cm
7. 0.005 L
8. 40.7 g
9. 670.90 in
10. 0.6258 mg
11. 2.205 lb
12. 3270 ft
13. 90 m

**Significant Figures:**

- 5 significant figures
- 4 significant figures
- 3 significant figures
- 2 significant figures
- 1 significant figure

Classify each value under the appropriate category based on the number of significant figures it contains.

Answer :

Final answer:

In Chemistry, the significant figures in a number are classified by counting all digits from the first nonzero digit, including any zeros that are between numbers or at the end of a decimal number.

Explanation:

In Chemistry, the significant figures or digits in a number can be classified as follows:

  • 8.314 J/mol-K has 4 significant figures.
  • 6.022x1023 mol-1 has 4 significant figures.
  • 12 mL has 2 significant figures.
  • 1.2 years has 2 significant figures.
  • 7.0 m2 has 2 significant figures.
  • 50 cm has 2 significant figures.
  • 0.005 L has 1 significant figure.
  • 40.7 g has 3 significant figures.
  • 670.90 in has 5 significant figures.
  • 0.6258 mg has 4 significant figures.
  • 2.205 lb has 4 significant figures.
  • 3270 ft has 3 significant figures.
  • 90 m has 2 significant figures.

Remember, zeros counting as significant depend on their position. Zeros between other digits are always significant, while leading zeros are not significant. Zeros at the end of a number are significant only if the number includes a decimal point.

Learn more about Significant Figures here:

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Rewritten by : Barada

Answer:

5 significant figures: 670.90 in.

4 significant figures: 8.314 J/mol-K, 6.022x10 23 mol-1, 0.6258 mg, 2.205 lb and 3270 ft.

3 significant figures: 40.7 g.

2 significant figures: 12 mL, 1.2 years, 7.0 m2, 50, cm and 90 m.

1 significant figure: 0,005 L.

Explanation:

Hello,

In this case, we proceed as follows:

* 8.314 J/mol-K has 4 significant figures since 8, 3, 1 and 4 are significant (nonzero).

* 6.022x10 23 mol-1 has 4 significant figures since 6, 0, 2 and 2 are significant including the zero as it is at the right of the first nonzero digit (6).

* 12 mL has 2 significant figures since 1 and 2 are significant (nonzero).

* 1.2 years has 2 significant figures since 1 and 2 are significant (nonzero).

* 7.0 m2 has 2 significant figures since 1 and 2 are significant (nonzero).

* 50, cm has 2 significant figures since 1 and 2 are significant (nonzero).

* 0,005 L has 1 significant figure since 5 is the only nonzero digit.

* 40.7 g has 3 significant figures since 4, 0 and 7 are significant including the zero as it is at the right of the first nonzero digit (4).

* 670.90 in has 5 significant figures since 6, 7, 0, 9 and 0 are significant including the zeros as they are at the right of the first nonzero digit (6).

* 0.6258 mg has 4 significant figures since the first zero is at the left of the first nonzero digit, therefore, it is not included.

* 2.205 lb has 4 significant figures since 2, 2, 0 and 5 are significant including the zero as it is at the right of the first nonzero digit (2).

* 3270 ft has 4 significant figures since 3, 2, 7 and 0 are significant including the zero as it is at the right of the first nonzero digit (3).

* 90 m has 2 significant figures since 1 and 2 are significant (nonzero).

Regards.