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Pressure-temperature relationship for an...

Pressure-temperature relationship for an ideal gas undergoing adiabatic change is (`gamma = C_p//C_v`)

A

`PT^(gamma)` = constant

B

`PT^(-1+gamma)` = constant

C

`p^(gamma-1)T^(gamma)`= constant

D

`p^(1-gamma)T^(gamma)`= constant

Text Solution

Verified by Experts

The correct Answer is:
D
As `PV^(gamma)` = constant
`implies P((RT)/(P))^(gamma)` = constant `implies P^(1-gamma)T^(gamma)` = constant.
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