Glencoe Chemistry: Matter and Change, Student Edition
Glencoe Chemistry: Matter and Change, Student Edition
1st Edition
ISBN: 9780076774609
Author: McGraw-Hill Education
Publisher: MCGRAW-HILL HIGHER EDUCATION
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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)
    30405.0
    152010.0
    101315.0
    76020.0

The data can be plotted as follows:

  Glencoe Chemistry: Matter and Change, Student Edition, Chapter MH, Problem 17PP , additional homework tip  1

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)
    30401092
    1520546
    1013410
    760273

The data can be plotted as follows:

  Glencoe Chemistry: Matter and Change, Student Edition, Chapter MH, Problem 17PP , additional homework tip  2

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.

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