Dimensional Analysis
What is the purpose of dimensional analysis?
To convert between units while keeping track of the units and making sure they cancel correctly.
How many significant figures are in 45.6?
3 sig figs
Write 3.2 × 10⁴ in standard notation.
32,000
Is mass an extensive or intensive property?
Extensive
What is matter?
Anything that has mass and takes up space.
Convert 2.5 m → ___ cm.
250 cm
How many significant figures are in 0.00450?
3 sig figs
Write 0.00072 in scientific notation.
7.2 × 10⁻⁴
Is boiling point an extensive or intensive property?
Intensive
Is oxygen (O₂) an element, compound, homogeneous mixture, or heterogeneous mixture?
Element
Convert 3.5 hours → ___ minutes.
210 min
How many significant figures are in 120.0 g?
4 sig figs
Write 6.02 × 10²³ in standard notation.
602,000,000,000,000,000,000,000
Classify volume as extensive or intensive. Explain why.
Volume is extensive because it changes when the amount of matter changes.
Is water (H₂O) an element, compound, homogeneous mixture, or heterogeneous mixture?
Compound
Convert 72.0 g → ___ lbs. Show your work using dimensional analysis.
0.16 lbs
Calculate 12.5 × 3.42 and report your answer with the correct number of significant figures.
42.8
Calculate: (3.0 × 10⁴) ÷ (6.0 × 10²). Give your answer in scientific notation.
5.0 × 10¹
A sample is cut in half. Which properties(s) would stay the same: mass, volume, density, or boiling point? Explain.
Density & Boiling point
A sample contains salt completely dissolved in water. Is it a homogeneous or heterogeneous mixture?
Homogeneous mixture
A car travels 65.0 miles. Convert this distance to meters. Show all conversion factors and units.
104607 m
Calculate 25.0 ÷ 4.2 using the correct significant-figure rules.
6.0
Calculate: (4.5 × 10⁶)(2.0 × 10⁻³). Give your answer in scientific notation with the correct significant figures.
9.0 × 10³
A student claims that a 2 kg block of copper has twice the density of a 1 kg block of copper. Is the student correct? Defend your answer.
The student is incorrect. Density is an intensive property, meaning it does not depend on how much of the substance is present. Both blocks of copper would have the same density.
A bowl contains cereal. Is this a substance or mixture? If it is a mixture, what type?
Mixture — heterogeneous