Dimensional Analysis: Setting Up the Conversion

Question 1

Which setup converts 48 cm to meters?

Accepted Answer

48\,cm (1\,m / 100\,cm)

Answer

48\,cm (100\,cm / 1\,m)

Answer

48\,cm (1\,cm / 100\,m)

Answer

48\,cm (100\,m / 1\,cm)

Question 2

To change 0.350 L into milliliters, which conversion factor is oriented correctly?

Accepted Answer

0.350\,L (1000\,mL / 1\,L)

Answer

0.350\,L (1\,L / 1000\,mL)

Answer

0.350\,L (1\,mL / 1000\,L)

Answer

0.350\,L (1000\,L / 1\,mL)

Question 3

Avogadro's number is 6.022 × 1023 formula units per mole. Which setup converts 5.00 mol NaCl to formula units?

Accepted Answer

5.00 mol NaCl × (6.022 × 1023 formula units NaCl / 1 mol NaCl)

Answer

5.00 mol NaCl × (1 mol NaCl / 6.022 × 1023 formula units NaCl)

Answer

5.00 mol NaCl × (6.022 × 1023 mol NaCl / 1 formula unit NaCl)

Answer

5.00 mol NaCl × (1 formula unit NaCl / 6.022 × 1023 mol NaCl)

Question 4

The molar mass of O2 is 32.00 g/mol. Which setup converts 32.0 g O2 to mol O2?

Accepted Answer

32.0 g O2 × (1 mol O2 / 32.00 g O2)

Answer

32.0 g O2 × (32.00 g O2 / 1 mol O2)

Answer

32.0 g O2 × (1 g O2 / 32.00 mol O2)

Answer

32.0 g O2 × (32.00 mol O2 / 1 g O2)

Question 5

Which setup changes 2.50 kg to grams?

Accepted Answer

2.50\,kg (1000\,g / 1\,kg)

Answer

2.50\,kg (1\,kg / 1000\,g)

Answer

2.50\,kg (1\,g / 1000\,kg)

Answer

2.50\,kg (1000\,kg / 1\,g)

Question 6

Ethanol has a density of 0.789 g/mL. Which setup converts 25.0 mL ethanol to grams ethanol?

Accepted Answer

25.0 mL ethanol × (0.789 g ethanol / 1 mL ethanol)

Answer

25.0 mL ethanol × (1 mL ethanol / 0.789 g ethanol)

Answer

25.0 mL ethanol × (1 g ethanol / 0.789 mL ethanol)

Answer

25.0 mL ethanol × (0.789 mL ethanol / 1 g ethanol)

Question 7

The molar mass of CaCl2 is 110.98 g/mol. Which setup converts 0.0200 mol CaCl2 to grams?

Accepted Answer

0.0200 mol CaCl2 × (110.98 g CaCl2 / 1 mol CaCl2)

Answer

0.0200 mol CaCl2 × (1 mol CaCl2 / 110.98 g CaCl2)

Answer

0.0200 mol CaCl2 × (1 g CaCl2 / 110.98 mol CaCl2)

Answer

0.0200 mol CaCl2 × (110.98 mol CaCl2 / 1 g CaCl2)

Question 8

Use 1000 mL = 1 L to convert 750 mL to liters.

Accepted Answer

0.750 L

Answer

750,000 L

Answer

75.0 L

Answer

7.50 L

Question 9

Use 1000 m = 1 km to convert 3.2 km to meters.

Accepted Answer

3.2 × 103 m

Answer

0.0032 m

Answer

320 m

Answer

32,000 m

Question 10

A liquid has density 2.70 g/mL. What mass corresponds to 15.0 mL?

Accepted Answer

40.5 g

Answer

5.56 g

Answer

4.05 g

Answer

405 g

Question 11

Using 1 mol = 6.022 × 1023 molecules, how many molecules are in 0.125 mol CO2?

Accepted Answer

7.53 × 1022 molecules CO2

Answer

4.82 × 1024 molecules CO2

Answer

7.53 × 1023 molecules CO2

Answer

2.08 × 10-25 molecules CO2

Question 12

Use molar mass 18.02 g/mol to convert 0.500 mol H2O to grams.

Accepted Answer

9.01 g H2O

Answer

18.02 g H2O

Answer

36.0 g H2O

Answer

0.0277 g H2O

Question 13

Which chain converts 2.50 h to seconds?

Accepted Answer

2.50 h × (60 min / 1 h) × (60 s / 1 min)

Answer

2.50 h × (1 h / 60 min) × (1 min / 60 s)

Answer

2.50 h × (60 min / 1 h) × (1 min / 60 s)

Answer

2.50 h × (1 min / 60 h) × (1 s / 60 min)

Question 14

Molar mass of O2 is 32.00 g/mol. Which setup converts 1.20 × 1024 molecules O2 to grams O2?

Accepted Answer

1.20 × 1024 molecules O2 × (1 mol O2 / 6.022 × 1023 molecules O2) × (32.00 g O2 / 1 mol O2)

Answer

1.20 × 1024 molecules O2 × (6.022 × 1023 molecules O2 / 1 mol O2) × (32.00 g O2 / 1 mol O2)

Answer

1.20 × 1024 molecules O2 × (1 mol O2 / 6.022 × 1023 molecules O2) × (1 mol O2 / 32.00 g O2)

Answer

1.20 × 1024 molecules O2 × (6.022 × 1023 molecules O2 / 1 mol O2) × (1 mol O2 / 32.00 g O2)

Question 15

Water's density is 1.00 g/cm3. Which setup converts 45.0 cm3 of water to kilograms?

Accepted Answer

45.0 cm3 × (1.00 g / 1 cm3) × (1 kg / 1000 g)

Answer

45.0 cm3 × (1 cm3 / 1.00 g) × (1 kg / 1000 g)

Answer

45.0 cm3 × (1.00 g / 1 cm3) × (1000 g / 1 kg)

Answer

45.0 cm3 × (1 cm3 / 1.00 g) × (1000 g / 1 kg)

Question 16

A solution is 0.200 mol NaCl per 1 L solution. Which setup converts 125 mL of solution to mol NaCl?

Accepted Answer

125 mL solution × (1 L solution / 1000 mL solution) × (0.200 mol NaCl / 1 L solution)

Answer

125 mL solution × (1000 mL solution / 1 L solution) × (0.200 mol NaCl / 1 L solution)

Answer

125 mL solution × (1 L solution / 1000 mL solution) × (1 L solution / 0.200 mol NaCl)

Answer

125 mL solution × (1000 mL solution / 1 L solution) × (1 L solution / 0.200 mol NaCl)

Question 17

Molar mass of NH3 is 17.03 g/mol. Which setup converts 8.50 g NH3 to molecules NH3?

Accepted Answer

8.50 g NH3 × (1 mol NH3 / 17.03 g NH3) × (6.022 × 1023 molecules NH3 / 1 mol NH3)

Answer

8.50 g NH3 × (17.03 g NH3 / 1 mol NH3) × (6.022 × 1023 molecules NH3 / 1 mol NH3)

Answer

8.50 g NH3 × (1 mol NH3 / 17.03 g NH3) × (1 mol NH3 / 6.022 × 1023 molecules NH3)

Answer

8.50 g NH3 × (17.03 g NH3 / 1 mol NH3) × (1 mol NH3 / 6.022 × 1023 molecules NH3)

Question 18

A student starts with 1.20 kg/L and wants g/mL. Which setup leaves the units g/mL after cancellation?

Accepted Answer

1.20\,kg/L (1000\,g / 1\,kg) (1\,L / 1000\,mL)

Answer

1.20\,kg/L (1\,kg / 1000\,g) (1000\,mL / 1\,L)

Answer

1.20\,kg/L (1000\,g / 1\,kg)

Answer

1.20\,kg/L (1\,L / 1000\,mL)

Question 19

A speed is 5.0 m/min. Which setup leaves the answer in cm/s?

Accepted Answer

5.0 m/min × (100 cm / 1 m) × (1 min / 60 s)

Answer

5.0 m/min × (1 m / 100 cm) × (60 s / 1 min)

Answer

5.0 m/min × (100 cm / 1 m) × (60 s / 1 min)

Answer

5.0 m/min × (1 min / 60 s)

Question 20

A sample contains 45.0 mmol solute in 0.250 L solution. Which setup leaves mol/L?

Accepted Answer

(45.0 mmol / 0.250 L) × (1 mol / 1000 mmol)

Answer

(45.0 mmol / 0.250 L) × (1000 mmol / 1 mol)

Answer

(45.0 mmol / 0.250 L) × (1 L / 1000 mL)

Answer

(45.0 mmol / 0.250 L) × (1000 mL / 1 L)

BLASTROOM

BLASTROOM

BLASTROOM

Dimensional Analysis: Setting Up the Conversion

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

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Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner

Dimensional Analysis: Setting Up the Conversion

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner