Gas Laws

Boyle's Law states that for a given mass of gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. Mathematically, it is expressed as:

where:

• P is the pressure of the gas,
• V is the volume of the gas, and
• k is a constant for a given amount of gas at a constant temperature.

The graphical representation of Boyle's Law is a curve that shows pressure vs. volume at constant temperature, also known as an isotherm. The curve is hyperbolic, depicting the inverse relationship between the pressure and volume.

Let's examine the given options:

1. Option 1 shows multiple curves with varying shapes.

2. Option 2 appears to be lines instead of curves, which does not represent Boyle's Law accurately.

3. Option 3 also shows a pattern inconsistent with the hyperbolic shape expected for Boyle's Law.

4. Option 4 displays a set of downward-sloping hyperbolic curves on a graph of Pressure vs. Volume, which matches the characteristics of Boyle's Law at different constant temperatures.

Hence, the correct graphical representation of Boyle's Law is shown in Option 4, where each curve represents an isotherm at a different temperature.