wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A partition divides a container having insulated walls into two compartments I and II. The same gas is filled in the two compartments whose initial parameters are given in figure. The partition is a conducting wall which can move freely without friction. Which of the following statements is/are correct with reference to teh final equilibrium position?
133630.PNG

A
The pressure in the two compartments are equal
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Volume of the compartment I is 3V5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Volume of the compartment II is 12V5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Final pressure I in compartment I is 5P3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A The pressure in the two compartments are equal
B Volume of the compartment I is 3V5
C Volume of the compartment II is 12V5
D Final pressure I in compartment I is 5P3

The pressure in the two components will be equal because the wall has to be at rest and it is not accelerating.

Let the volume on the left side is x and the volume on the right side will be 3Vx and the final pressure in component I is P1.

The expression for the left side is given as,

P1×x=PV (1)

The expression for the right side is given as,

P1×(3Vx)=2P×2V (2)

Dividing equation (1) by equation (2), we get

(3Vx)=4x

x=3V5

The volume of the second compartment is,

3Vx=3V3V5

=12V5

The final pressure is given as,

P1×3V5=PV

P1=5P3

Thus, the pressure in the two components are equal, the volume in compartment I is 3V5, the volume in compartment II is 12V5 and the final pressure in compartment I is 5P3.


flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
First Law of Thermodynamics
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon