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9. which of the following graphs best represents the relationship betwe…

Question

  1. which of the following graphs best represents the relationship between the volume and temperature of an ideal gas at constant pressure?

Explanation:

Step1: Recall Charles's Law

For an ideal gas at constant pressure, $V = kT$ (where $k$ is a constant), which is a direct - proportionality relationship.

Step2: Analyze the graph shape

A direct - proportionality relationship between two variables $V$ (volume) and $T$ (temperature) is represented by a straight - line graph passing through the origin. The equation $y = mx$ (in this case $V$ is $y$ and $T$ is $x$) has a positive slope.

Answer:

The second graph (the one with a straight - line passing through the origin and having a positive slope) best represents the relationship between the volume and temperature of an ideal gas at constant pressure.