Density is mass per unit volume. The mass of
any size sample of a material divided by the
volume of that sample will give the density of
that material. A good scientist would not be
satisfied, however, with a value based on one
set of measurements. A more accurate value is
found by averaging the results of several ex-
periments.
Another approach is the use of a graphical method to find an average value. The purpose of this experiment is to determine the density of metal shot by a graphical method.
Objectives
• Use significant digits in making measure
ments and in calculations.
Graph a series of laboratory measure
ments.
• Determine density from a mass vs. volume
graph.
Materials
differentsized samples of the same metal
shot (BBs), 4 samples
100cm3 graduated cylinder
30cm 3 beaker
balance
water
Procedure
Work in teams of four. Each student should
carry out the following procedure for a differ-
entsized sample of the metal shot.
1. Mass the beaker to the nearest 0.01 g. Record the mass in a data table like the one shown.
2. Place your shot in the beaker and mass them together. Record this mass.
3. Subtract the mass of the beaker from the mass of the beaker + shot to obtain the mass of the shot sample. Record this mass.
4. Halffill the 100cm3 graduated cylinder with tap water. Determine and record this volume of water to the nearest 0.5 cm3
5. Slowly pour the metal shot into the water in the graduated cylinder. Record the new volume to the nearest 0.5 cm 3.
6. Slowly pour off the water into the sink. Place the wet metal shot between two layers of paper towels and dry the shot before returning it to your teacher.
7. Share your data with your lab team and record their data in the other columns of your data table.
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Data and Observations
Analysis and Conclusions
1. For each trial, subtract the initial volume of water from the total volume of water + shot. Record the resulting values for the volume of the shot in cm3
2. Using graph paper, plot the mass of the metal shot on the yaxis and the volume of the metal shot on the xaxis. Locate and mark four points. Draw a straight line that passes through as many points as possible. Points may fall on either side of the line due to experimental error.
3. Determine the x and y values of two points on the line. Calculate the slope, m, of the line by using the following equation:
m = (y2 - y1)
(x2- XI)
The slope is equal to the average density for all four trials. Record this average density.
4. Determine and record the density from the mass and volume found in your own trial
Density = mass of metal shot
volume of metal shot
5. How does the density from your own trial compare with the average density found from the slope of the plot?
Extension and Application
1. How many significant digits did you record in the density calculated for your trial? Explain how you decided on this number of digits.
2. The percent error for each trial is the absolute value of the difference between the density from the trial and the average density, divided by the average density. Calculate your percent error.
% error = density from trial -average, density X 100
average density
3. How could the experiment be changed to decrease the experimental error?
4. Suppose you wanted to use a graphical method to find the number of miles your car can travel on a gallon of gasoline. Briefly describe a procedure you could use.
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