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The pressure of $6.0 \mathrm{L}$ of an ideal gas in a flexible container is decreased to one-third of its original pressure, and its absolute temperature is decreased by one-half. What is the final volume of the gas?

$$9.0 \mathrm{L}$$

Chemistry 101

Chapter 5

Gases

Drexel University

University of Kentucky

University of Toronto

Lectures

05:03

In physics, a gas is one of the three major states of matter (the others being liquid and solid). A gas is a fluid that does not support tensile stress, meaning that it is compressible. The word gas is a neologism first used by the early 17th-century Flemish chemist J.B. van Helmont, based on the Greek word ("chaos"), the simplest of all the elemental forms of matter.

04:46

In physics, thermodynamics is the science of energy and its transformations. The three laws of thermodynamics state that energy can be exchanged between physical systems as heat and work; that the total energy of a system can be calculated by adding up all forms of energy in the system; that energy spontaneously flows from being localized to becoming dispersed, spread out, or uniform; and that the entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium.

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So in this problem we have Pressure X, which decreased by 1/3. Then we have temperature. Why? Which decreased by 1/2 a wall. You off six liters. The final volume is unknown. We consult the foot, find software final volume using this equation and for ease of calculations. I'm just gonna make X as why, ex and why as one So that we have pf as 1/3 end TF as 1/2. So when we substitute those values in, we get one times six Oh, divided by one 1/3 times, if well for 1/2. So we get me f equals nine liters as the final answer.

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