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A diatomic gas obeys the law pV^x= const...

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

A

(a) `xgt1.4`

B

(b) `xlt1.4`

C

(c) `1ltxlt1.4`

D

(d) 0ltxlt1

Text Solution

Verified by Experts

The correct Answer is:
C
`C=C_V+(R)/(1-x)`
`=5/2R+(R)/(1-x)=5/2R=(R)/(x-1)`
C is negative if
`x-1lt2/5`
`:.` `xlt1.4`
If x lies between 1 and 1.4, then also C is negative.
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