Chapter MH, Problem 17PP

Solution

Interpretation: Whether the graphs plotted represent direct or inverse relationships needs to be explained.

Concept Introduction: To plot a graph between two variables, the data given for one can be plotted at the x -axis and the other at the y -axis. The trend can be explained based on the shape of the graph obtained.

Inverse.

The given data for gas pressure and volume is as follows:

Pressure (mm Hg)	Volume (mL)
3040	5.0
1520	10.0
1013	15.0
760	20.0

The data can be plotted as follows:

  

From the above graph, it can be interpreted that gas pressure is inversely proportional to volume. As pressure increases, the volume of the gas decreases.

Similarly, data for gas pressure and temperature is as follows:

Pressure (mm Hg)	Temperature (K)
3040	1092
1520	546
1013	410
760	273

The data can be plotted as follows:

  

From the graph, it can be interpreted that gas pressure is directly proportional to temperature. As gas pressure increases temperature also increases.

Thus, the given graphs show inverse relationships.