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A diatomic gas obeys the law \mathrm{P V^{x}= constant}. For what value of \mathrm{x}, it has negative molar specific heat.

Option: 1

\mathrm{x>1.4}


Option: 2

\mathrm{x<1.4}


Option: 3

\mathrm{1<x<1.4}


Option: 4

\mathrm{0<x<1}


Answers (1)

best_answer

For the polytropic process  \mathrm{\mathrm{PV}^{\mathrm{X}}=constant}

\mathrm{C}=\frac{\mathrm{R}}{\mathrm{Y}-1}+\frac{\mathrm{R}}{\mathrm{X}-1}

and \mathrm{\mathrm{C}} is negative to \mathrm{1<\mathrm{X}<\mathrm{Y}}

for a diatomic gas \mathrm{Y=1.4}

\mathrm{\therefore \quad (c)}

Posted by

HARSH KANKARIA

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