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Three flasks containing gases $A$ (red) and $B$ (green) are shown here. (i) If the pressure in (a) is 4.0 atm, what are the pressures in (b) and (c)? (ii) Calculate the total pressure and partial pressure of each gas after the valves are opened. The volumes of (a) and (c) are 4.0 L each and that of (b) is 2.0 L. The temperature is the same throughout.

a. $$\begin{array}{l}P_{\text {total }}=5.3 \text { atm } \\P_{\mathrm{A}}=2.65 \mathrm{atm} \\P_{\mathrm{B}}=2.65 \mathrm{atm}\end{array}$$ b. $$\begin{array}{l}P_{\text {total }}=5.3 \text { atm } \\P_{\mathrm{A}}=2.65 \text { atm } \\P_{\mathrm{B}}=2.65 \text { atm }\end{array}$$ c. $$\begin{array}{l}P_{\text {total }}=5.3 \text { atm } \\P_{\mathrm{A}}=2.65 \mathrm{atm} \\P_{\mathrm{B}}=2.65 \mathrm{atm}\end{array}$$

Chemistry 101

Chapter 5

Gases

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University of Kentucky

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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.

05:39

Three flasks containing ga…

01:37

The diagram below show 2 f…

04:18

A mixture of $4.0 \mathrm{…

07:28

01:08

One litre of gas $\mathrm{…

Okay, so we have these three flasks. We're assuming that the valves are closed, we're told, Let's see the pressure and A is four atmospheres. What are the pressures and being see? Well, B is two leaders and a is four leaders. So it's half the volume account nine spheres in A and B each. So same number of moles. Um and so the pressure would be twice as great in Ah Oh, I'm sorry. That would be in be as it is in a and so eight atmospheres and be and then in C. It's the same volume is a but I count 12 spheres there, so the pressure would be 12 9th It's a 12 denied ratio, the number of moles of gas, and so in C I would have 5.3 atmospheres on and then after the valves are opened, I'm counting nine and nine is 18 plus 12 is 30 and so I've got 30 molecules total in 10 leaders and and my reference in a was nine molecules in four leaders and said the number of molecules has increased by a factor of three in the third, and the volume has increased by a factor of 2.5. So the pressure the molecules have increased more than the volume. The pressure is going to increase by a factor of one in 1/3 said the total pressure after the valves are open will be 5.33 and, uh, A and B ah, let's see, uh, those are the types of spheres the red and green. I count 15 each, and so each of those makes up half of the total on, and so each of them has a partial pressure after opening and mixing of 2.67 atmospheres each 1/2 the total after the valves are opened.

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