A gas expands adiabatically at constant pressure such that its temperature `Tprop(1)/(sqrt(V))` , the value of `C_(P)//C_(V)` of gas is

Options

A. `2.00`
B. `1.50`
C. 1.67
D. `1.30`

Answer

B

Explanation

For an adiabatic change `TV^(gamma-1)` = constant
or `Tprop1/V^(gamma-1)" "...(1)`
It is given that `Tprop1/sqrtVorTprop1/V^(1//2)" "...(2)`
Comparing the two expressions we get, `gamma-1=1/2" "thereforegamma=1+1/2=3/2=1.5`