Q: Convert 2.54 centimeters to inches using the provided relationships.

$$2.54 \text{ cm} = 1 \text{ in.}$$

Q: A sample of ethanol has a mass of 15.0 g and a volume of 19.0 cm$$^3. $$What is its density, and how many significant figures should the answer have?

$$0.789 \text{ g/cm}^3$$ with 3 significant figures

Q: A rectangular piece of glass measures 10.0 mm by 5.00 mm. What is its area, and how many significant figures should the answer have?

$$50.0 \text{ mm}^2$$ with 3 significant figures

Q: Which of the following conversion factors is correct for converting meters to centimeters?

$$1 \text{ m} = 100 \text{ cm}$$

Q: Which of the following is the correct conversion for 1 liter to milliliters?

$$1 \text{ L} = 1000 \text{ mL}$$

Q: Which of the following is the correct relationship for converting decimeters to meters?

$$1 \text{ dm} = 0.1 \text{ m}$$

Question 1

Which of the following statements best describes a scientific law in chemistry?

Accepted Answer

A law is a mathematical relationship that describes a consistent observation in nature.

Question 2

How many significant figures are in the measurement 0.0049950?

Accepted Answer

6

Question 3

A student measures the mass of a metal cube as 21.4 g and its volume as 1.00 cm$$^3. $$Based on the provided density table, which metal is most likely being measured?

Accepted Answer

Platinum

Question 4

Convert 2.54 centimeters to inches using the provided relationships.

Accepted Answer

$$2.54 	ext{ cm} = 1 	ext{ in.}$$

Question 5

Which of the following measurements has the greatest number of significant figures?

Accepted Answer

100.00

Question 6

A sample of ethanol has a mass of 15.0 g and a volume of 19.0 cm$$^3. $$What is its density, and how many significant figures should the answer have?

Accepted Answer

$$0.789 	ext{ g/cm}^3$$ with 3 significant figures

Question 7

Round 65.749 to three significant figures.

Accepted Answer

65.7

Question 8

Which of the following is the correct scientific notation for 0.000346?

Accepted Answer

$$3.46 	imes 10$$^{-4}$$

Question 9

A rectangular piece of glass measures 10.0 mm by 5.00 mm. What is its area, and how many significant figures should the answer have?

Accepted Answer

$$50.0 	ext{ mm}^2$$ with 3 significant figures

Question 10

Which of the following conversion factors is correct for converting meters to centimeters?

Accepted Answer

$$1 	ext{ m} = 100 	ext{ cm}$$

Question 11

A student calculates $$(39.1 	imes 2.3) + (215.159 - 100.0). $$What is the correct answer, following significant figure rules?

Accepted Answer

205

Question 12

Which of the following is NOT a significant figure in the number 0.00027?

Accepted Answer

The zeros before the 2 and 7

Question 13

If you travel 5280 feet, how many miles have you traveled?

Accepted Answer

1 mile

Question 14

Which of the following statements about significant figures is TRUE?

Accepted Answer

Trailing zeros are significant only if there is a decimal point present.

Question 15

A gold bar has a mass of 193 g and a volume of 10.0 cm$$^3. $$What is its density?

Accepted Answer

$$19.3 	ext{ g/cm}^3$$

Question 16

Which of the following is the correct conversion for 1 liter to milliliters?

Accepted Answer

$$1 	ext{ L} = 1000 	ext{ mL}$$

Question 17

A student multiplies $$3.489 by$$ $$(5.67 - 2.3). $$What is the correct answer, following significant figure rules?

Accepted Answer

12

Question 18

Which of the following is the correct relationship for converting decimeters to meters?

Accepted Answer

$$1 	ext{ dm} = 0.1 	ext{ m}$$

Question 19

Which of the following substances has the lowest density according to the provided table?

Accepted Answer

Charcoal, oak

Measurement and Problem Solving in Chemistry: Units, Significant Figures, and Dimensional Analysis

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