Q3. What is the volume of the liquid inside the graduated cylinder in (a)? What is the height of the vial in (b)? Provide the correct number of significant figures in each measurement.

Background

Topic: Precision in Measurements & Significant Figures

This question tests your ability to read laboratory instruments (graduated cylinder and ruler) and report measurements with the correct number of significant figures, which is essential for accuracy in chemistry.

Key Terms and Formulas:

• Significant Figures: Digits in a measurement that are known with certainty plus one digit that is estimated.

• Graduated Cylinder: Used to measure liquid volume. Read at the bottom of the meniscus.

• Ruler: Used to measure length. Report to the smallest marked unit plus one estimated digit.

Step-by-Step Guidance

1. Examine the graduated cylinder in (a). Identify the scale increments and the meniscus position. Estimate the volume to the nearest 0.1 mL.

2. Count the number of digits you can report: all certain digits plus one uncertain digit (the estimated digit).

3. For the ruler in (b), observe the vial's height. The ruler is marked in centimeters and millimeters. Estimate the height to the nearest 0.01 cm.

4. Determine the number of significant figures for each measurement based on the instrument's precision.

5. Set up your answers for both (a) and (b) with the correct number of significant figures, but do not calculate the final values yet.

Try solving on your own before revealing the answer!