Question

1. which pair of properties determines the density of a material? a. mass and weight b. volume and weight c. volume and concentration d. volume and mass
2. a volume of 1 milliliter is defined as: a. 1 cubic centimeter. b. 1 gram. c. 1 liter. d. 10^(-1) cubic decimeters.
3. consider the following ruler. what is the increment of this ruler? a. ones c. hundredths b. tenths d. thousandths
4. what is the temperature of absolute zero measured in °c? a. 273°c b. -273°c c. -173°c d. 0°c
5. what is the quantity 0.0075 meters expressed in centimeters? a. 0.000 075 cm b. 0.75 cm c. 7.5 cm d. 75 cm
6. the standard base unit for mass is the a. gram. b. cubic centimeter. c. meter. d. kilogram. e. ounce
7. which of these measurements has been expressed to four significant figures? a. 0.0020 mm b. 0.0402 mm c. 30.00 mm d. 402.10 mm

matching
match each item with the correct statement below. a. absolute zero b. kelvin temperature scale c. celsius temperature scale d. precision e. accuracy

1. temperature scale with no negative values
2. the lowest point on the kelvin scale
3. closeness of a single measurement to the true value
4. how close a group of measurements are to each other
5. temperature scale based on physical properties of water

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. So mass and volume determine density.

Step2: Recall volume - unit conversion

1 milliliter ($mL$) is equal to 1 cubic - centimeter ($cm^3$).

Step3: Analyze ruler increment

The ruler has markings at every 1 unit, so the increment is ones.

Step4: Recall absolute - zero temperature

Absolute zero in Celsius is $- 273^{\circ}C$.

Step5: Convert meters to centimeters

Since 1 meter = 100 centimeters, $0.0075$ meters $=0.0075\times100 = 0.75$ cm.

Step6: Recall SI base - unit for mass

The SI base - unit for mass is the kilogram.

Step7: Determine significant figures

In 30.00 mm, there are four significant figures.

Step8: Match concepts

• The Kelvin temperature scale has no negative values.
• Absolute zero is the lowest point on the Kelvin scale.
• Accuracy is the closeness of a single measurement to the true value.
• Precision is how close a group of measurements are to each other.
• The Celsius temperature scale is based on physical properties of water.

Answer:

1. d. volume and mass
2. a. 1 cubic centimeter
3. a. ones
4. b. $-273^{\circ}C$
5. b. 0.75 cm
6. d. kilogram
7. c. 30.00 mm
8. b. Kelvin temperature scale
9. a. absolute zero
10. e. accuracy
11. d. precision
12. c. Celsius temperature scale