General Chemistry

In the previous post, we talked about conversion factors and their use in dimensional analysis. Remember, in short, the conversion factors are the ratios of the units for the given quantity.

For example, we know that 1 ft is 12 in, and therefore, we can derive two conversion factors by simply getting the ratio of these units:

 

 

Once we have the conversion factor, we can convert a quantity given in one unit into an equivalent quantity with a different unit by multiplying it with the correct factor, which is the one that allows canceling the initial units. 

Let’s say we need to calculate how many inches 4.58 ft is.

 

 

Below are some of the common conversion factors for length, mass, and volume that you can use to work on the practice problems. 

 

 

 

Check Also

 

 

Practice

1.

Perform each of the following conversions.

a) 5.98 cm to millimeters

b) 65 cm to meters

c) 487 mm to inches (1 in = 2.54 cm, 1 cm = 10 mm)

d) 2894 ft to kilometers (1 mi = 1.609 km)

e) 6854 m to miles (1 mi = 1.609 km)

f) 548 lb to kilograms

g) 451 oz to kilograms

h) 1564 mL to gallons (1 gal = 3.785 L)

i) 659 mL to quarts

j) 72 gal to milliliters

k) 482 lb to grams

l) 54 quarts to milliliters

 

a)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
b)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
c)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
d)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
e)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
f)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
g)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
h)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
i)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
j)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
k)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
l)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
2.

How many dozen eggs are in 15,652 eggs?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
3.

How many years are in 5,489 days?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
4.

How many weeks are in 2.5 centuries? (1 yr. = 52 weeks)

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
5.

Units Raised to a Power

Perform each of the following conversions.

a) 45 cm2 to in2

b) 59 mm2 to ft2

c) 995 ft2 to m2

d) 2.54 dm3 to in3 (1 dm = 10 cm)

e) 4.22 gallons to cm3 (1 L = 1000 cm3)

f) 5.64 L to ft3

 

a)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
b)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
c)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
d)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
e)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
f)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
6.

Would 550 m2 of fabric be enough to upholster 200 chairs if each requires 35.4 ft2 fabric?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
7.

Convert 16.4 cubic decimeters (16.4 dm3) to gallons, using the following conversion factors:

2.54 cm = 1 in, 231 in3 = 1 gallon, 1 dm = 10 cm

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
8.

Converting Two Units

8) Perform each of the following conversions.

a) 195 cm/s to mi/h

b) 55 km/h to yd/min (1 m = 1.094 yd)

c) 45 mi/h to m/s

a)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
b)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
c)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
9.

The world record for 100-m dash is 8.58 s. Calculate the average speed of the athlete in mi/h.

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
10.

Assuming constant speed, how long will it take for the athlete to run 500. m if she runs the 100-yard dash in 12.0 s?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
11.

Ho many liters of soda will be needed for 50 guests if each of them drinks 10. fl. oz. of soda?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
12.

What is the speed of a car in cm/s if it goes 25 mi/h?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
13.

Would a car traveling at a constant speed of 62 km/h violate a 40 mi/h speed limit?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
14.

A kilogram of mandarin costs 1.45 euros. Given the exchange rate of 1 euro = 1.18 dollars, how many lb of mandaring can you by with 5.00 dollars?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
15.

Density

A 20.0-mL sample of a liquid has a mass of 17.8 g. What is the liquid’s density in grams per milliliter?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
16.

A sample containing 31.25 g of metal pellets is poured into a graduated cylinder initially containing 11.9 mL of water, causing the water level in the cylinder to rise to 18.7 mL. Calculate the density of the metal.

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
17.

What is the mass of a 2.85 L sample of a liquid that has a density of 0.954 g/mL?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
18.

What is the volume of 100. g bromine in milliliters if it has a density of 3.10 g/cm3?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
19.

Complete the missing data for the density, mass, and volume in the following table:

 

MassVolumeDensity
2.35 g0.035 LX g/mL
X lb356 mL1.56 g/cm3
14.6 kgX gal4.81 g/mL

 

a)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
b)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
c)
answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
20.

How many kilograms of honey with a density of 1.40 kg/L are there in a gallon container?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
21.

The density of iron is 8.96 g/cm3. What is its density in pounds per cubic inch (lb/in3)?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
22.

The density of iron is 7.86 g/cm3. What is the volume of 5.24 lb of iron expressed in cubic inches?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
23.

A plastic cylinder has a length of 7.25 in, a radius of 1.26 in, and a mass of 841 g. What is the density of the plastic in g/cm3?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
24.

What is the radius of a steel sphere that has a mass of 65.0 g and a density of  7.86 g/cm3?

answer
The answers and solutions to practice problems are available to registered users only. Click here to Register!  
Solution
The answers and solutions to practice problems are available to registered users only. Click here to Register!  

Leave a Comment

1675352823