Question

Argon gas is adiabatically compressed to half its volume. If `P, V` and `T` represent the pressure, volume and temperature of the gasous, respectively, at any stage, then the correct equation representing the process is
A. `TV^(2//5) =` constant
B. `TV^(5//3) =` constant
C. `TP^(2//5) =` constant
D. `PT^(2//5) =` constant

Answer 1

Correct Answer - C
c. For an adiabatic process,
`PV^(gamma) = ` constant
`TV^(gamma - 1) =` constant
and `T^(gamma) P^(1 - gamma) =` constant
Putting, `gamma = 5//3` (argon being a monatomic gas), the equation becomes :
`P V^(5//3) =` constant
`TV^(-2//3) =` constant
`T^(5//3) P^(-2//3) = ` constant `implies TP^(-2//3) = ` constant