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

Consider two containers A and B containing identical gases at the same pressure, volume and temperature. The gas in container A is compressed to half of its original volume isothermally while the gas in container B is compressed to half of its original value adiabatically. The ratio of final pressure of gas in B to that of gas in A is


A
2γ1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(12)γ1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(11γ)2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

(1γ1)2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 2γ1

When the compression is isothermal for gas in A,
p2V2=p1V1
p2=p1V1V2=p1V1V1/2=2p1

For gas in B, when compression is adiabatic,
p2Vγ2=p1Vγ1
p2=p1(V1V2)γ=2γP1
p2p2=2γp12p1=2γ1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Enthalpy
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon