An experiment is performed in which the following data was collected in order to determine an unknown liquid's density. From this data, determine the density of the liquid and predict the volume of...

An experiment is performed in which the following data was collected in order to determine an unknown liquid's density. From this data, determine the density of the liquid and predict the volume of a 2.00 gram sample.

Volume of sample: Mass of sample

1.00 mL 0.81 g

2.00 mL 1.62 g

3.00 mL 2.43 g

4.00 mL 3.24 g

5.00 mL 4.10 g

 

Asked on by tlayne90

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mwmovr40 | College Teacher | (Level 1) Associate Educator

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The best way to analyze this data is to do a graph of the data where the independent variable (volume) is plotted along the horizontal axis and the dependent variable (mass) is along the vertical axis.  A best fitting line should then be constructed and the slope and y-intercept of that line should be determined.  The slope of the line would represent the density of the liquid and the y-intercept would represent a measure of any systematic error in the experiment.

Doing this with this data produces a slope of 0.81 g/mL and a y-intercept of 0.00

Therefore, the density of the liquid would be 0.81 g/mL.

An equation for this data would be

Mass(g) = 0.81g/mL X Volume

This equation allows us to predict the volume of the 2.00 gram sample:

Volume = Mass/ 0.81 = 2.00/0.81 = 2.47 mL

An alternate method would be to calculate the density for each data set and then calculate the average and standard deviation of the five densities.  Then using V = M/D you can predict the value of the volume for the 2.00 gram sample.

 

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