which graph correctly depicts the relationship between number of moles of gas and volume when pressure and…

Explanation:

Step1: Recall Avogadro's law

Avogadro's law states that at constant temperature and pressure, the volume ($V$) of a gas is directly proportional to the number of moles ($n$) of the gas. Mathematically, $V = kn$, where $k$ is a constant.

Step2: Analyze the graph - type for direct - proportion

A direct - proportion relationship between two variables $y$ and $x$ is represented by a straight - line graph passing through the origin ($y=mx$, where $m$ is the slope and when $x = 0$, $y = 0$). In the case of $V$ and $n$, as $n$ increases, $V$ increases linearly.

Answer:

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