Charles' Law: Understanding the Relationship Between Gas Volume and Temperature

How does Charles' law explain the relationship between gas volume and temperature?

According to Charles' law, what happens to the volume of a given amount of gas when the temperature is increased? Vice versa.

Answer:

Charles' law states that the volume of a given amount of gas held at constant pressure is directly proportional to its Kelvin temperature. This means that as the temperature increases, the volume also increases, and vice versa.

Charles' law is a fundamental principle in the field of gas thermodynamics. It describes the relationship between the volume and temperature of a gas when pressure is held constant. The law states that if the pressure on a gas sample remains constant, the volume of the gas is directly proportional to its Kelvin temperature.

This relationship can be mathematically expressed as:

V1 / T1 = V2 / T2

By rearranging the equation, we can solve for the final temperature, T2:

T2 = (V2 * T1) / V1

Using the given data of a xenon gas sample with an initial volume of 6.51 L at 473 K, and a final volume of 3.33 L, we can calculate the final temperature:

T2 = (3.33 L * 473 K) / 6.51 L = 241.94 K

This means that for the xenon gas sample to have a volume of 3.33 L, the temperature must be 241.94 K according to Charles' law.

Understanding Charles' law is essential in predicting the behavior of gases under various temperature conditions. It allows scientists and engineers to make accurate calculations and predictions related to gas volume and temperature changes.