35 mL of a liquid has a density of 9.0 g/mL. What is the mass of the liquid reporting your answer to correct sig. figs.? 0.257 g 315 g 0.26 g 320 g

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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### Sample Question for Density and Significant Figures

**Question:**

35 mL of a liquid has a density of 9.0 g/mL. What is the mass of the liquid reporting your answer to correct sig. figs.?

**Options:**

- ☐ 0.257 g
- ☐ 315 g
- ☐ 0.26 g
- ☐ 320 g

**Explanation:**

To determine the mass of the liquid, use the formula:

\[ \text{Mass} = \text{Density} \times \text{Volume} \]

Given:
- Density = 9.0 g/mL
- Volume = 35 mL

Calculating the mass:

\[ \text{Mass} = 9.0 \, \text{g/mL} \times 35 \, \text{mL} = 315 \, \text{g} \]

However, we need to report the answer to the correct number of significant figures. Both the density (9.0) and volume (35) have 2 significant figures. Therefore, the mass should also be reported to 2 significant figures:

\[ 315 \, \text{g} \rightarrow 320 \, \text{g} \text{ (rounded to 2 significant figures)} \]

**Correct Answer:**

- ☐ 320 g
Transcribed Image Text:### Sample Question for Density and Significant Figures **Question:** 35 mL of a liquid has a density of 9.0 g/mL. What is the mass of the liquid reporting your answer to correct sig. figs.? **Options:** - ☐ 0.257 g - ☐ 315 g - ☐ 0.26 g - ☐ 320 g **Explanation:** To determine the mass of the liquid, use the formula: \[ \text{Mass} = \text{Density} \times \text{Volume} \] Given: - Density = 9.0 g/mL - Volume = 35 mL Calculating the mass: \[ \text{Mass} = 9.0 \, \text{g/mL} \times 35 \, \text{mL} = 315 \, \text{g} \] However, we need to report the answer to the correct number of significant figures. Both the density (9.0) and volume (35) have 2 significant figures. Therefore, the mass should also be reported to 2 significant figures: \[ 315 \, \text{g} \rightarrow 320 \, \text{g} \text{ (rounded to 2 significant figures)} \] **Correct Answer:** - ☐ 320 g
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