Question

Choose the correct option for graphical representation of Boyle’s law, which shows a graph of pressure vs. volume of a gas at different temperatures

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is A

To determine the correct graphical representation of Boyle's Law, we must first understand the principle of the law itself. Boyle's Law states that for a given mass of gas at constant temperature, the volume of the gas is inversely proportional to its pressure. Mathematically, this is expressed as:

\(P \propto \frac{1}{V} \quad \text{or} \quad PV = \text{constant} \)

This implies that if you were to plot pressure (P) against volume (V), the graph would be a hyperbola. When different temperature curves are considered, these are called isotherms, and each curve corresponds to a different constant temperature.

Let's analyze each graph option provided:

• Option 1: This graph shows hyperbolic curves as the pressure decreases with an increase in volume, and it includes multiple curves for different temperatures. This correctly represents Boyle's Law.
• Option 2: This graph does not appear to represent the inverse relationship characteristic of Boyle's Law.
• Option 3: This graph again does not show the required hyperbolic relationship.
• Option 4: Similar to options 2 and 3, this graph fails to illustrate the correct inverse relationship between pressure and volume.

Therefore, the correct choice for the graphical representation of Boyle's Law (pressure vs. volume at different temperatures) is:

Conclusion: Option 1 correctly illustrates Boyle's Law, with pressure decreasing as volume increases for different temperatures, shown as a series of hyperbolic curves.