CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

One mole of a monoatomic ideal gas occupies two chambers of a cylinder partitioned by means of a movable piston. The walls of the cylinder as well as the piston are thermal insulators. Initially, equal amounts of gas fill both the chambers at (P0,V0,T0). A coil is burnt in the left chamber which causes the gas to absorb heat and expand, pushing the piston to the right. The gas in the right chamber is compressed until the pressure is 32P0

Choose the correct options.

A
The final volume of the left chamber is 15V08.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
The final volume of the left chamber is 9V08.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
The work done on the gas in the right chamber is 12P0V0.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
The work done on the gas in the right chamber is 92P0V0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A The final volume of the left chamber is 15V08.
D The work done on the gas in the right chamber is 92P0V0
Since the compression on the right is adiabatic P0Vγ0=PRVγR
P0V530=32P0V53R
( Monoatomic gas and given PR=32 P0)
VR=18V0 and VL=V0+78V0=158V0

Work done on the gas =PRVRP0V0γ1
PRVR=32P0×V08=4P0V0
Work done =P0V04P0V0531
=92P0V0 ( monoatomic gas)

flag
Suggest Corrections
thumbs-up
5
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Using KTG
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon