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Consider the three gas containers shown here. All of them have the same volume and are at the same temperature. (a) Which container has the smallest mole fraction of gas $A$ (blue sphere)? (b) Which container has the highest partial pressure of gas $\mathrm{B}$ (green sphere)?

(a) container (iii)(b) container (iii)

Chemistry 101

Chapter 5

Gases

Rice University

University of Kentucky

Brown University

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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Consider the three contain…

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Consider these four gas sa…

this question is in reference to the properties of ideal gas is, and most specifically in reference to the concept of partial pressure and mole fraction. First, let's reproduce the three diagrams that are shown in the problem with blue, green and read circles. We see that there's a total of nine in the 1st 12 in the second and 15 in the third. So in order to determine which one contains the smallest mole fraction of a, we need to take the number of a divided by the total for each of them. Four. Divided by 95 divided by 12 and six divided by 15 and we see that the smallest mole fraction blue is going to be the last one for Part B. It asks which container has the highest partial pressure of B or the green spheres. To answer this question, we need to recognize that partial pressure is proportional to mole fraction. So is the mole fraction of a gas increases? So does its partial pressure, so we'll calculate the mole fraction in which everyone will have the highest mole fraction will have the highest partial pressure. So for the green circles, we've got two out of 93 out of 12 and four out of 15, the one that has the highest mole fraction of the green circles will have the highest partial pressure, and it turns out that that is the last figure also.

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