Assume that you have a sample of gas at 350 K in a sealed container, as represented in (a). Whic

step 1 This problem gives us a sample of gas seen in this figure, and it tells us that originally the s

Assume that you have a sample of gas at 350 K in a sealed...

Assume that you have a sample of gas at 350 $\mathrm{K}$ in a sealed container, as represented in (a). Which of the drawings (b) - (d) represents the gas after the temperature is lowered from 350 $\mathrm{K}$ to 150 $\mathrm{K} ?$

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Key Concepts

Ideal Gas Law

The Ideal Gas Law (PV = nRT) relates the pressure, volume, and temperature of a gas. In a sealed container, the amount of gas and the volume remain constant, so lowering the temperature directly decreases the pressure. This principle helps explain how changes in temperature affect the behavior of gas molecules inside the container.

Kinetic Theory of Gases

Kinetic theory explains that the temperature of a gas is a measure of the average kinetic energy of its molecules. When the temperature decreases, the molecules have lower average speeds, leading to less vigorous motion and fewer collisions with the container walls, which in turn reduces the pressure.

Temperature and Molecular Speed Distribution

At higher temperatures, gas molecules move more rapidly and have a broader range of speeds. Lowering the temperature not only reduces the average kinetic energy but also narrows the distribution of molecular speeds. This results in slower overall molecular motion, a key factor in predicting changes in gas behavior as temperature changes.

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