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Ch.10 - Gases: Their Properties & Behavior
Chapter 10, Problem 48d

Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you were to do the following? (d) Halve the Kelvin temperature and triple the volume

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Ideal Gas Law

The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of a gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the absolute temperature in Kelvin. Understanding this relationship is crucial for predicting how changes in one variable affect the others.
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Gas Pressure

Gas pressure is defined as the force exerted by gas molecules colliding with the walls of their container. It is influenced by the number of gas particles, their temperature, and the volume of the container. When the volume increases or the temperature decreases, the pressure typically decreases, as fewer collisions occur against the walls.
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Pressure Units

Temperature in Kelvin

Temperature in Kelvin is the absolute temperature scale used in scientific calculations, where 0 K represents absolute zero, the point at which molecular motion ceases. In gas laws, temperature must be expressed in Kelvin to ensure direct proportionality with pressure and volume. Halving the Kelvin temperature significantly impacts gas behavior, as it indicates a decrease in kinetic energy of the gas molecules.
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