3. In some cases, the relationship between two variables is not linear, but the data can be manipulated to make a linear relationship. Using the data below, make a graph of the volume vs. pressure of a container, with volume being the independent variable. Is the relationship linear? If it is not, make a graph of volume versus 1/pressure. What would the pressure of the container be if the volume were 2.4 L? Show your calculation. Vol (L) 0.86 1.94 2.96 4.03 5.02 5.59 Pressure (atm) 22.9 10.3 6.7 5.0 3.9 3.5 Is V vs. P linear?______________ P at 2.4L? _______________
3. In some cases, the relationship between two variables is not linear, but the data can be
manipulated to make a linear relationship. Using the data below, make a graph of the volume vs. pressure of a container, with volume being the independent variable. Is the relationship linear? If it is not, make a graph of volume versus 1/pressure. What would the pressure of the container be if the volume were 2.4 L? Show your calculation.
Vol (L)
0.86
1.94
2.96
4.03
5.02
5.59
Pressure (atm)
22.9
10.3
6.7
5.0
3.9
3.5
Is V vs. P linear?______________
P at 2.4L? _______________
The relationship between pressure and volume at a constant temperature is given by Boyle's law. Boyle's law states that at a constant temperature, pressure is inversely proportional to volume. This can be mathematically expressed as:
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