Argon gas is adiabatically compressed to half its volume. If `P, V` and `T` represent the pressure, volume and temperature of the gaseous, respectively, at any stage, then the correct equation representing the process is

Options

A. `TV^(2//5) = constant`
B. `VP^(5//3) = constant`
C. `TP^(2//5) = constant`
D. `PT^(2//5) = constant`

Answer

C

Explanation

For an adiabatic process `PV^(gamma)` = constant
`TV^(-1)` = constant
and `T^(gamma)P^(1//gamma)` = constant
Putting `gamma = 5//3` (argon being a monoatomic gas check the options.