which graph correctly depicts the relationship between pressure and temperature when volume and amount of…

Explanation:

Step1: Recall Gay - Lussac's Law

According to Gay - Lussac's Law, when the volume ($V$) and the amount of gas ($n$) are constant, the pressure ($P$) of a gas is directly proportional to its temperature ($T$) in Kelvin. Mathematically, $P = kT$ (where $k$ is a constant), which is in the form of a linear equation $y = mx$ ($y = P$, $x=T$, and the slope $m = k$).

Step2: Analyze the graphs

A direct - proportional relationship is represented by a straight - line graph passing through the origin. The first graph is a curve (inverse relationship), the second graph is a straight line with a positive slope (direct relationship), and the third graph is a straight line with a negative slope (inverse relationship).

Answer:

The second graph (the one with a straight line and positive slope) correctly depicts the relationship.