A diatomic gas obeys the law `pV^x=` constant. For what value of x, it has negative molar specific heat?

Options

A. ` x gt 1.67`
B. `x lt 1.67`
C. `1 lt x lt1.4`
D. `1 lt x lt 1.67`

Answer

D

Explanation

`C = C_(V) + (R)/(1-x) = (3)/(2)R = + (R)/(1-x) lt 0 `
`implies (5-3x)/(1-x) lt 0 implies 1 lt x lt 1.67`