Q: A chemist needs to convert $5.0\ \mathrm{cm}^3$ to $\mathrm{m}^3$. Which conversion factor should be used, and how should it be applied?

$1\ \mathrm{cm}^3 = 1 \times 10^{-6}\ \mathrm{m}^3$, so $5.0\ \mathrm{cm}^3 = 5.0 \times 10^{-6}\ \mathrm{m}^3$

Question 1

A scientist measures the mass of a sample as 12.30 g using a balance with markings every 0.1 g. Which statement best describes the certainty of this measurement?

Accepted Answer

All digits are certain except the last, which is estimated.

Question 2

Which of the following numbers contains three significant figures?

Accepted Answer

0.0340

Question 3

Convert 0.00056 to scientific notation.

Accepted Answer

$5.6 	imes 10^{-4}$

Question 4

A student adds the following masses: 5.74 g, 0.823 g, and 2.651 g. What is the correct answer, rounded according to the rules for significant figures?

Accepted Answer

$9.21\ \mathrm{g}$

Question 5

Which of the following is an exact number?

Accepted Answer

The number of students in a classroom

Question 6

A cube has a side length of 2.0 cm. What is its volume, and how many significant figures should the answer have?

Accepted Answer

$8.0\ \mathrm{cm}^3$, two significant figures

Question 7

A sample of liquid has a mass of 27.2 g and a volume of 22.5 mL. What is its density?

Accepted Answer

$1.21\ \mathrm{g/mL}$

Question 8

Which of the following statements about mass and weight is correct?

Accepted Answer

Mass is independent of gravity, while weight depends on gravity.

Question 9

A chemist needs to convert 15.0 inches to centimeters. Which conversion factor should be used?

Accepted Answer

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

Question 10

A titanium bicycle frame has a volume of $800\ \mathrm{cm}^3$ and a density of $4.50\ \mathrm{g/cm}^3$. What is its mass?

Accepted Answer

$3.6 	imes 10^3\ \mathrm{g}$

Question 11

Which of the following is the correct way to express 5983 in scientific notation?

Accepted Answer

$5.983 	imes 10^3$

Question 12

A measurement is recorded as 0.04050 g. How many significant figures does this value have?

Accepted Answer

4

Question 13

A student multiplies $2.34$ (three significant figures) by $0.10$ (two significant figures). What is the correct number of significant figures in the final answer?

Accepted Answer

2

Question 14

Which of the following is a derived unit?

Accepted Answer

Cubic meter ($\mathrm{m}^3$)

Question 15

A chemist needs to convert $5.0\ \mathrm{cm}^3$ to $\mathrm{m}^3$. Which conversion factor should be used, and how should it be applied?

Accepted Answer

$1\ \mathrm{cm}^3 = 1 	imes 10^{-6}\ \mathrm{m}^3$, so $5.0\ \mathrm{cm}^3 = 5.0 	imes 10^{-6}\ \mathrm{m}^3$

Question 16

A NASA orbiter was supposed to establish orbit at 155 km, but a group used miles instead of kilometers. If 1 mile = 1.609 km, how many kilometers is 155 miles?

Accepted Answer

$249\ \mathrm{km}$

Question 17

Which of the following best describes the process of dimensional analysis?

Accepted Answer

Using units as a guide to solving problems by multiplying, dividing, and canceling them like algebraic quantities.

Question 18

A solution map for converting centimeters to feet would include which sequence of conversion factors?

Accepted Answer

$\frac{1\ \mathrm{in.}}{2.54\ \mathrm{cm}}$ then $\frac{1\ \mathrm{ft}}{12\ \mathrm{in.}}$

Measurement and Problem Solving: Introductory Chemistry Study Notes

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