On a horizontal table there is a container standing frictionless, which is divided into two equal...

On a horizontal table there is a container standing frictionless, which is divided into two equal parts by a partition wall. In one part of the container there is oxygen, in the other part - nitrogen. The pressure of oxygen is twice as high as the pressure of nitrogen. By what distance does the container shift when the partition becomes permeable to both gases? The length of the container is l = 20 cm. Neglect the mass of the container and the partition wall.

A clear process with formulas will be highly appreciated!

Thanks

Solutions

Expert Solution

Let us assume that the volume of the container is V and the partition is at the middle so both the gases are occupied in the volume V/2 and with the separation wall to be at a distance l/2=20/2 =10 cm. The pressure of nitrogen gas is P so the pressure of the oxygen gas will be 2P.

here, we shall be applying the following relation

We know that the volume V=area (A) x length(l). Initially the partition is at center so V1=V2= A x l/2. Let us assume that we need to move the partition at a distance d from towards the oxygen gas from the center as shown in the figure

Using Eq. (1)

Solving for d

So the partition should shift a distance of 3.33 cm towards the oxygen side.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Jack and Zack are standing on a crate at rest on a frictionless horizontal surface. Jack...

Jack and Zack are standing on a crate at rest on a frictionless horizontal surface. Jack has a mass of 70 kg, Zack has a mass of 45 kg, and the crate has a mass of 15 kg. In what follows, we will see that both jump of the crate. You may assume that they push themselves off with a speed of 4 m/s relative to the crate and in a direction that is essentially horizontal. 1) what is the...

Two particles of equal masses m1=m2 move on a frictionless horizontal surface in the vicinity of...

Two particles of equal masses m1=m2 move on a frictionless horizontal surface in the vicinity of a fixed force center, with potential energies U1 = 1/2kr^(2)1 and U2 = 1/2kr^(2)2. In addition they interact with each other via a potential energy U12 = 1/2αkr^2 where r is the distance between them and α and k are positive constants. (a) Find the Lagrangian in terms of the CM position R and the relative position r. (b) Write down and solve the...

A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding...

A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding a ball of wet clay with mass mg=10 kg . In front of the person is a large block with mass M=20 kg at rest next to a spring with stiffness k=100 N/m . The person throws the ball horizontally, it sticks to the block, and then ball and block slide and compress the spring a distance 1=0.75 m away from equilibrium before the...

A rigid container is divided into two parts, the left side of the container contains 1.5...

A rigid container is divided into two parts, the left side of the container contains 1.5 kg of water vapor at 1200 kPa and 350 ° C, while the right side contains 3.5 kg of wet water vapor, at 500 kPa with 50 per quality percent. Then the division is removed, and the two sides are allowed to mix, after this the temperature inside the container is measured which is 135 ° C, the amount of heat transferred in this...

A block rests on a horizontal frictionless table. It is attached to a spring and set...

A block rests on a horizontal frictionless table. It is attached to a spring and set into motion. Consider what will happen to the frequency or period in each of the following situations. (increase, decrease, or stay the same) If the spring constant is cut in half (looser spring), the frequency will _______. If the spring constant is cut in half (looser spring), the period will _______. If the amplitude of the motion is doubled, the frequency will ______. If...

A mass sliding on a frictionless table is attached to a horizontal spring. It is noted...

A mass sliding on a frictionless table is attached to a horizontal spring. It is noted to be at position x1 moving with a speed |v1|, and several seconds later at position x2 moving with a speed |v2|. What is the period of the mass attached to the spring? Choose x1 = 0.85m, x 2 = 1.1m, |v1| = 2.4m/s, and |v2|= 1.9m/s.

Three identical blocks, A, B, and C, are on a horizontal frictionless table. The blocks are...

Three identical blocks, A, B, and C, are on a horizontal frictionless table. The blocks are connected by strings of negligible mass, with block B between the other two blocks. If block C is pulled horizontally by a force of magnitude F = 49 N, find the tension in the string between blocks B and C.

A 1.1 kg mass is held at rest on top of a frictionless and horizontal table....

A 1.1 kg mass is held at rest on top of a frictionless and horizontal table. A light string loops over a pulley which is in the shape of a 10 cm radius solid disk which has a mass of 1.1 kg. The light string then supports a mass of 1.1 kg which is hanging in air. The mass on the table is released and the suspended mass falls. What is the acceleration of the falling mass. What is the...

6. Solve parts a and b: A box is at rest on a horizontal, frictionless table....

6. Solve parts a and b: A box is at rest on a horizontal, frictionless table. a. Horizontal force F1 points along the positive x-axis; when it is the only force acting on the box, the box accelerates at 8 m/s2. Force F2 is also horizontal; it has magnitude 5.31F1 and acts at right angles to the direction of F1. If forces F1 and F2 act on the box at the same time, find the magnitude of the acceleration of...

On a frictionless horizontal air table, puck A (with mass 0.245 kg ) is moving toward...

On a frictionless horizontal air table, puck A (with mass 0.245 kg ) is moving toward puck B (with mass 0.374 kg ), which is initially at rest. After the collision, puck A has velocity 0.118 m/s to the left, and puck B has velocity 0.655 m/s to the right. A: What was the speed vAi of puck A before the collision? B: Calculate ΔKΔKDeltaK, the change in the total kinetic energy of the system that occurs during the collision.

Subjects