The purpose of this experiment was to determine the density of Diet Coke and Gatorade and to use this information to determine whether density is an intensive or extensive property. An additional aim was to compare the accuracy of a single group’s results to the accuracy of the compiled findings of the entire class. In order to determine the densities of Diet Coke and Gatorade, the specific volume of each liquid was measured, and the mass of each measured liquid was calculated.
Using the mass and specific volume data for each liquid, the densities of Diet Coke and Gatorade were calculated. For Diet Coke, the density determined by the group was 1.021 g/mL. For Gatorade, the density determined by the group was 1.023 g/mL, with a standard deviation of 0.001291 g/mL. The class average for Diet Coke was 1.003 g/mL, which is slightly lower than the group-determined figure. The group-determined standard deviation for Diet Coke (0.01211 g/mL) was also slightly higher than the class-determined standard deviation of 0.01713 g/mL.
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For Diet Coke, the percent error for the group was 2.41%, which was considerably higher than the percent error for the class, which was only 0.602%. Thus, the results indicate that the findings of the entire class were more accurate than that of the group. However, it is important to note that both results fall within the allowable error percentage. That data also show that the spread of the density data for the full class was less than that of the group, as demonstrated by the fact that the group-calculated standard deviation was larger than the class-calculated standard deviation.
Finally, it is possible to conclude that density is an intensive property, not an extensive property. An intensive property is a property that does not depend on the size of the system (University of Texas, n.d.), and indeed, the standard deviation remained small regardless of the mass and volume measured for the liquid. For both Gatorade and Diet Coke, the density remains unchanged regardless of the liquid sample size.
- Extensive and intensive. (n.d.). University of Texas. Retrieved from https://ch301.cm.utexas.edu/section2.php?target=thermo/properties/extensive-intensive.html
