1.

In an adiabatic change, the pressue and temperature of a monoatomic gas are related as P prop T^(-c), where c equals:

Answer»

<P>`(2)/(5)`
`(5)/(2)`
`(3)/(5)`
`(5)/(3)`

Solution :`P^(1-gamma)cdot T^(gamma)=" CONST. "rArr P^(1-gamma) alpha""(1)/(T^(gamma)) rArr P alpha ""(1)/(T^(gamma//1-gamma))`
`P alpha T^(-(gamma)/(1-gamma))`
THUS, `C=+(gamma)/(1-gamma)=+((5)/(3))/(1-(5)/(3))=((5)/(3))/((-2)/(3))=(-5)/(2)`.
`therefore` CORRECT CHOICE is (a).


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