One mole of Argon undergoes a process given by `PV^(3//2)`= const. If heat obtained by gas is `Q` and molar specific of the following in the process is `C` then which of the following is correct if temperature of gas changes by `-26 K` (assusme Argon as an ideal gas)

Options

A. `C=0.5 R, Q=13 R`
B. `C= -0.5 R, Q=1.3 R`
C. `C= -0.5 R, Q=13 R`
D. `C= 0, Q=13 R`

Answer

C

Explanation

If a gas under goes a themodynamic process `PV^(x)`
=const, then molar specific heat `C=(R)/(gamma-1)-(R)/(x-1)`
for Arogn `r=5//3`
`:. C=(R)/(5/3-1)-(R)/(3/2-1)=-0.5R`
`Q=nCDeltaT=1xx-0.5Rxx-26=13R`