which graph best represents the relationship between volume and pressure? pressure volume pressure volume…

Explanation:

Step1: Recall Boyle's law

Boyle's law states that for a given mass of gas at constant temperature, pressure $P$ and volume $V$ are inversely - proportional, i.e., $PV = k$ (where $k$ is a constant).

Step2: Analyze the graph shape

The equation $PV=k$ can be rewritten as $P=\frac{k}{V}$. The graph of a function of the form $y = \frac{a}{x}$ (where $a$ is a non - zero constant) is a hyperbola. When $x$ (volume) increases, $y$ (pressure) decreases and vice - versa.

Answer:

The graph with a curved line sloping downwards from left to right (the third graph from the left) best represents the relationship between volume and pressure.