Question

Gases are a unique state of matter because the volume of a gas can be compressed or expanded based on its temperature. Jacque Charles studied these changes by observing hot air balloons. For a given mass, as the gas is heated its volume expands and as it cools the volume contracts. Charles found that the volume is directly proportional to temperature when the mass and pressure remain constant. Which equation represents the relationship in Charles' law?

Answer 1

Explanation:

Since Charles found that the volume is directly proportional to temperature when the mass and pressure remain constant this means that with increase in temperature, there will be increase in volume.

Mathematically,       $V \propto T$ at constant Pressure

This equation represents the relationship in Charles' law.

Answer 2

Answer;

Equation representing the relationship in Charles' Law;

V α T ; where; V is the volume of a gas, while T is the temperature in Kelvin

Thus; V/T = Constant.

Explanation;

• According to Charles' Law; when the temperature of a gas is increased at a constant pressure, its volume increases, and when the temperature of a gas is decreased at a constant pressure, its volume decreases.
• Therefore; the volume of a fixed gas is directly proportional to absolute temperature at constant pressure. That is; V α T (in kelvin)
• Mathematically;  V/T = a constant