1.

For a monoatomic gas in adiabatic process, the relation between the pressure and absolute temperature time T is P prop T where C equal to:

Answer»

`(2)/(5)`
`(3)/(5)`
`(5)/(2)`
`(1)/(3)`

Solution :For adiabatic Process
`P^(1-GAMMA). T^(gamma)=` CONST
`(T^(gamma))/(P^(gamma-1))=k rArr T^(gamma)=k P^(gamma-1)`
`rArr P=(1)/(k) cdot [T](gamma)/(gamma-1)`
`P prop [T] (gamma)/(gamma-1)`
For monoatomic gas `gamma=5//3`
`P prop T^(((5//3)/((5)/(3)-1))) rArr P prop T^(5//2)`
Thus, correct choice is (c ).


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