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In an adiabatic change the pressure and ...

In an adiabatic change the pressure and temperature of monoatomic gas are related as `P prop T^(c )` where C equal

A

`(2)/(5)`

B

`(5)/(2)`

C

`(3)/(5)`

D

`(5)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`gamma = 1+(2)/(f)`
`rArr gamma` for mono atomic gas `= 1+(2)/(3)=(5)/(3)`
For adiabatic relation `(P^(gamma-1))/(T^(gamma))` = const,
`P prop T^((gamma)/(gamma-1)) rArr P prop T^((5)/(3)xx(3)/(2))`
`therefore T^(C )=T^((5)/(2))rArr C = (5)/(2)`.
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