A 1:1 mixture of helium (red) and argon (blue) at 300 K isportrayed below on the left. Draw the same mixture whenthe temperature is lowered to 150 K.

Verified step by step guidance

1. Identify the initial conditions of the gases: The mixture contains equal amounts of helium and argon at a temperature of 300 K.
2. Understand the effect of temperature on gas behavior: Lowering the temperature to 150 K will decrease the kinetic energy of the gas particles, causing them to move slower.
3. Apply the ideal gas law (PV=nRT) conceptually: Since the volume and the amount of gas are constant, lowering the temperature will lead to a decrease in pressure if the container is flexible or a decrease in volume if the container is rigid.
4. Visualize the particle movement: At 150 K, both helium and argon atoms will move less vigorously compared to their movement at 300 K. This results in less frequent and less forceful collisions with the container walls.
5. Draw the scenario: In the new drawing for 150 K, depict the particles (helium in red and argon in blue) as being more closely packed together, indicating reduced movement and energy compared to the initial state at 300 K.

Key Concepts

Gas Behavior and Kinetic Molecular Theory

The Kinetic Molecular Theory explains the behavior of gases in terms of particle motion. It states that gas particles are in constant, random motion and that temperature is a measure of the average kinetic energy of these particles. As temperature decreases, the average kinetic energy of the gas particles also decreases, leading to reduced velocity and increased intermolecular forces.

Ideal Gas Law

The Ideal Gas Law, represented as PV=nRT, relates the pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas. This law helps predict how changes in temperature affect the behavior of gases. In this scenario, lowering the temperature from 300 K to 150 K will affect the pressure and volume of the gas mixture, assuming the number of moles remains constant.

Gas Mixtures and Partial Pressures

In a gas mixture, each component exerts pressure independently of the others, known as partial pressure. The total pressure of the mixture is the sum of the partial pressures of each gas. When the temperature is lowered, the behavior of each gas in the mixture (helium and argon) will change, affecting their respective partial pressures and the overall behavior of the mixture.