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NAME_____________________________________ DATE__________ DUE________
CHS INTRO CHEM Density HW2
EXAMPLES WHERE DENSITY AND VOLUME ARE GIVEN AND YOU ARE
CALCULATING MASS
EXAMPLE: A piece of copper has a volume of .02 m3. What is its mass?
Start by listing the values
you know and need to find:
Volume = V = .02 m
Mass = ? kg
Density of copper =
8,890 kg/m3
(from table)
3
Algebraic Solution
Write Algebraic Equation
you are starting with:
𝑚
𝜌=
𝑉
Solve this equation for the
desired variable:
Numerical Solution.
Plug your numbers with units into the
equation you created for mass:
𝜌×𝑉 =𝑚
(8,890
𝑘𝑔⁄
3)
(.
𝑚3 ) × 02𝑚 = 178𝑘𝑔
𝜌×𝑉 =𝑚
EXAMPLES FOR YOU TO WORK OUT
1. A truck can carry a volume of 10 m3 of liquid. What mass of oilcan it hold? (8000 kg)
Start by listing the values
you know and need to find:
Algebraic Solution:
Write Algebraic Equation you are
starting with:
Numerical Solution.
Plug your numbers with units into the
equation you created for mass:
Volume = V =
Mass = ? kg
Density of Oil =
Solve this equation for the desired
variable:
2. A volume of 3.2 m3 of copper was used in the making of the Statue of Liberty. Calculate the
mass of copper that was used. (about 28500 kg)
Start by listing the values
you know and need to find:
Algebraic Solution:
Write Algebraic Equation
you are starting with:
Numerical Solution.
Plug your numbers with units into the
equation you created for mass:
Volume = V =
Mass = ? kg
Density of _______ =
Solve this equation for the
desired variable:
3. Calculate the mass of a volume of 2.5 m3 of water . (2,500 kg)
Start by listing the values
you know and need to find:
Volume = V =
Mass = ? kg
Density of _______ =
Algebraic Solution:
Write Algebraic Equation
you are starting with:
Solve this equation for the
desired variable:
Numerical Solution.
Plug your numbers with units into the
equation you created for mass:
4. Calculate the mass of a volume of 2.5 m3 of mercury. (Show all the same work as before) (34,000 kg)
SOME REVIEW QUESTIONS – UNIT CONVERSIONS AND PERCENT ERROR.
5. According to one student’s lab the density of the aluminum sample was 2.61 g/cm3. (Conversion factors: 1
kg = 1000 grams and 1 meter3 = 1,000,000cm3) Convert the student’s measurement the units used in the table
which are kg/m3.(Show the equation with units to get to your answer) (2610 kg/m3)
6. Calculate the percent error between the student’s value and the value provided in the table. (Show the
equation you use with units included. You should know the equation for percent error or have it in your
notes) (3.3 %)
A DIFFERENT SORT OF QUESTION
7. A Copper rectangular prism is .05 meters wide and .025 meters long. It has a mass of 1000 kg. How
thick is the rectangle.
a. What is the density of copper? _____________
b. State the values for the dimensions you know: length_______ width _______ height_____
c. State the Equation for density
d. State the Equation for volume
e. Substitute the Equation for volume into the equation for density.
f. Algebraically solve the equation for the unknown (h).
g. Plug in the values you know with the appropriate units.
h. Calculate the answer and state the answer.