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

Explanation:

Step1: Recall Charles's Law

Charles's Law states that when the pressure and amount of gas are constant, the volume of a gas is directly proportional to its absolute - temperature. Mathematically, $V = kT$ (where $V$ is volume, $T$ is temperature in Kelvin, and $k$ is a constant).

Step2: Analyze the graph shape

A direct - proportional relationship between two variables $y$ and $x$ is represented by a straight - line graph of the form $y=mx$ (in this case, $y = V$, $x = T$, and $m = k$). The line passes through the origin (because when $T = 0$ K, $V=0$ according to the ideal gas law concepts).

Answer:

The first graph (the one with a straight - line with a positive slope passing through the origin) correctly depicts the relationship.