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Two different adiabatic parts for the sa...

Two different adiabatic parts for the same gas intersect two isothermals at `T_(1) "and" ^`T_2 as shown in P-V diagram . Then the ratio of `(V_(a))/(V_(b))` will be

A

a. `(V_(c ))/(V_(d))`

B

b. `(V_(d))/(V_(c))`

C

c. `gamma(V_(d))/(V_(c))`

D

d. `(1)/(gamma)(V_(d))/(V_(c))`

Text Solution

Verified by Experts

The correct Answer is:
B
For adiabatic curve BC
`T_(1)V_(b)^(gamma-1)=T_(2)V_(C)^(gamma-1)`
Dividing (i) by (ii)
`(V_(b))/(V_(a))^(gamma-1)=(V_(C))/(V_(d))^(gamma-1) rArr (V_(a))/(V_(b))=(V_(d))/(V_(C))`
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