2. Containers A and B in the diagram each contain different ideal gases at equilibrium. Container holds its volume fixed, while container has a movable piston with a fixed weight. The walls of each container (and the piston) are insulated against heat transfer, and between the chambers is an insulating barrier that is removable. If it is removed, there is another barrier that doesn't allow the gases to mix, but allows very slow heat transfer between the containers (so that the gases in each chamber change states quasi-statically while the heat transfers between them). Container A holds 3 moles of helium, while container B holds 4 moles of molecular (diatomic) nitrogen, and with the insulating barrier in place, both systems are at equilibrium. When the barrier is removed, the piston slowly begins to sink, and comes to rest when the two containers enclose the same volume. insulating barrier A piston B a. After the piston comes to rest, find the ratio of the pressures of the two containers, PA/PB. b. Find the ratio of the temperature changes of the two gases, ATA (including the sign). ΔΤΒ c. Find the fraction of work done on the system that is exchanged between the two containers as heat, i.e., .

2. Containers A and B in the diagram each contain different ideal gases at equilibrium. Container holds its volume fixed, while container has a movable piston with a fixed weight. The walls of each container (and the piston) are insulated against heat transfer, and between the chambers is an insulating barrier that is removable. If it is removed, there is another barrier that doesn't allow the gases to mix, but allows very slow heat transfer between the containers (so that the gases in each chamber change states quasi-statically while the heat transfers between them). Container A holds 3 moles of helium, while container B holds 4 moles of molecular (diatomic) nitrogen, and with the insulating barrier in place, both systems are at equilibrium. When the barrier is removed, the piston slowly begins to sink, and comes to rest when the two containers enclose the same volume. insulating barrier A piston B a. After the piston comes to rest, find the ratio of the pressures of the two containers, PA/PB. b. Find the ratio of the temperature changes of the two gases, ATA (including the sign). ΔΤΒ c. Find the fraction of work done on the system that is exchanged between the two containers as heat, i.e., .

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

2. Containers A and B in the diagram each contain different ideal gases at equilibrium.
Container holds its volume fixed, while container has a movable piston with a fixed weight.
The walls of each container (and the piston) are insulated against heat transfer, and between
the chambers is an insulating barrier that is removable. If it is removed, there is another
barrier that doesn't allow the gases to mix, but allows very slow heat transfer between the
containers (so that the gases in each chamber change states quasi-statically while the heat
transfers between them).
Container A holds 3 moles of helium, while container B holds 4 moles of molecular
(diatomic) nitrogen, and with the insulating barrier in place, both systems are at equilibrium.
When the barrier is removed, the piston slowly begins to sink, and comes to rest when the
two containers enclose the same volume.
insulating
barrier
A
piston
B
a. After the piston comes to rest, find the ratio of the pressures of the two containers,
PA/PB.
b. Find the ratio of the temperature changes of the two gases, ATA (including the sign).
ΔΤΑ
ΔΤΒ
c. Find the fraction of work done on the system that is exchanged between the two
containers as heat, i.e., W.

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