wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

One mole of ideal monoatomic gas (γ=53) is mixed with one mole of diatomic gas (γ=75). What is γ for the mixture? γ denotes the ratio of specific heat at constant pressure, to that at constant volume.


A

32

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

2315

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

3523

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

43

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

The correct option is A

32


For a monoatomic gas, Cv=3R2 and for a diatomic gas, Cv=5R2. Since one mole of each gas is mixed together, the Cv of the mixture will
Cv=12[3R2+5R2]=2R
Now CpCv=R. Therefore, for the mixture, Cp=R+Cv=R+2R=3R. Hence, the ratio of the specific heats of the mixture is
γ=CpCv=3R2R=32,


flag
Suggest Corrections
thumbs-up
12
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The First Law of Thermodynamics
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon