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A9 - Rank the cylinders Three identical cylinders are sealed with identical pistons that are free to slide up and down the cylinder without friction. Each cylinder contains ideal gas, and the gas occupies the same volume in each case, but the temperatures differ. As shown in the figure, each cylinder is inverted so the piston is below the gas, and the bottom of each piston is exposed to the atmosphere. In cylinders 1, 2, and 3 the temperatures are 0°C, 50°C, and 100°C, respectively. The pistons are at equilibrium in each case. 2 3 T=0°C T=50°C T=100°C Part (a) Homework Answered Due Today, 10:00 PM Rank the cylinders, from largest to smallest, in terms of the pressure inside the cylinder. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. 1>2>3 b 1>2=3 C 1>3>2 d 2>1>3 e 2>1=3 f 2>3>1 g 3>1>2 h 3>1=2 i 3>2>1 j All equal Answered - Incorrect \cdot 2 attempts left X Your answer Resubmit

          A9 - Rank the cylinders
Three identical cylinders are sealed with identical pistons that are free to slide up and down the cylinder
without friction. Each cylinder contains ideal gas, and the gas occupies the same volume in each case,
but the temperatures differ. As shown in the figure, each cylinder is inverted so the piston is below the
gas, and the bottom of each piston is exposed to the atmosphere. In cylinders 1, 2, and 3 the
temperatures are 0°C, 50°C, and 100°C, respectively. The pistons are at equilibrium in each case.
2
3
T=0°C T=50°C T=100°C
Part (a)
Homework Answered Due Today, 10:00 PM
Rank the cylinders, from largest to smallest, in terms of the pressure inside the cylinder.
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
1>2>3
b 1>2=3
C 1>3>2
d 2>1>3
e 2>1=3
f 2>3>1
g 3>1>2
h 3>1=2
i 3>2>1
j All equal
Answered - Incorrect \cdot 2 attempts left
X
Your answer
Resubmit

Show more…

A9 - Rank the cylinders
Three identical cylinders are sealed with identical pistons that are free to slide up and down the cylinder
without friction. Each cylinder contains ideal gas, and the gas occupies the same volume in each case,
but the temperatures differ. As shown in the figure, each cylinder is inverted so the piston is below the
gas, and the bottom of each piston is exposed to the atmosphere. In cylinders 1, 2, and 3 the
temperatures are 0°C, 50°C, and 100°C, respectively. The pistons are at equilibrium in each case.
2
3
T=0°C T=50°C T=100°C
Part (a)
Homework Answered Due Today, 10:00 PM
Rank the cylinders, from largest to smallest, in terms of the pressure inside the cylinder.
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
1>2>3
b 1>2=3
C 1>3>2
d 2>1>3
e 2>1=3
f 2>3>1
g 3>1>2
h 3>1=2
i 3>2>1
j All equal
Answered - Incorrect ·2 attempts left
X
Your answer
Resubmit

Added by Brandy F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Mark J

05/01/2022

Step 1

Step 1: The ideal gas law states that $PV = nRT$, where $P$ is the pressure, $V$ is the volume, $n$ is the number of moles, $R$ is the ideal gas constant, and $T$ is the temperature. Show more…

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A9 - Rank the cylinders Three identical cylinders are sealed with identical pistons that are free to slide up and down the cylinder without friction. Each cylinder contains ideal gas, and the gas occupies the same volume in each case, but the temperatures differ. As shown in the figure, each cylinder is inverted so the piston is below the gas, and the bottom of each piston is exposed to the atmosphere. In cylinders 1, 2, and 3 the temperatures are 0°C, 50°C, and 100°C, respectively. The pistons are at equilibrium in each case. 1 2 3 T = 0°C T = 50°C T = 100°C Part (a) Homework Answered Due Today, 10:00 PM Rank the cylinders, from largest to smallest, in terms of the pressure inside the cylinder. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 1>2>3 b 1>2=3 c 1>3>2 d 2>1>3 e 2>1=3 f 2>3>1 g 3>1>2 h 3>1=2 i 3>2>1 j All equal Answered - Incorrect 2 attempts left Your answer Resubmit

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00:01 So in this question, we are given three cylinders, each with the same volume of gas in them, and the gases are all at the same temperature, but they differ in the piston that is containing the gas and where that piston is located.

00:21 So in order to answer the question about the pressure in the gases, let us consider the forces that act on each piston, and we'll draw a free body diagram for each of those.

00:34 Now, in the first one, there is the piston is located on top of the gas, and we have the force of gravity acting on that piston.

00:44 Let's call it little m times g.

00:47 We also have going down over here, we have the air pressure from the outside air, which is p .0 times a.

00:57 That's the force caused by that air pressure.

00:59 And then going up, we are going to have the force exerted by the inside air pressure.

01:07 We'll call that p1 times a.

01:14 And so the equation would be p1a is equal to p0a plus mg, since the upward forces need to balance the downward pointing forces.

01:38 Now, the second piston is going to be very similar, but the only difference here is that the size of the piston is different.

01:47 It's got a different mass, got more mass.

01:50 And so therefore, p2a is going to equal to p0 times a.

01:57 Again, it's a cross -sectional area of my piston, which is still the same.

02:03 Plus, let's just call it uppercase m because it's the bigger mass times g...

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