wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

The equation of state of a gas is (P+aT2V)×Vc1=(RT+b) where a, b, c and R are constants. The isotherms can be represented by P=AVmBVn where A and B depend only on temperature. Then,


A

m = - c, n = -1

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

m = c, n = 1

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

m = -c, n = 1

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

m = c, n = -1

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

The correct option is A

m = - c, n = -1


Expanding the equation of state we have
PVc+aT2 Vc1=RT+bor P=aT2 V1+RT Vc+bVcor P=AVcBV1 .....(i)where A=RT+b and B=aT2. We are given that P=A VmBVn .......(ii)
Comparing the power of V in (i) and (ii) we get m = -c and n = -1.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
The Equation of State
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon