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Question: The specific heat at constant pressure and at constant volume for an ideal gas are \(C _ { p }\) and...

The specific heat at constant pressure and at constant volume for an ideal gas are CpC _ { p } and CvC _ { v } and its adiabatic and isothermal elasticities are EϕE _ { \phi } and EθE _ { \theta } respectively. The ratio of EϕE _ { \phi } to EθE _ { \theta } is

A

Cv/CpC _ { v } / C _ { p }

B

Cp/CvC _ { p } / C _ { v }

C

CpCvC _ { p } C _ { v }

D
Answer

Cp/CvC _ { p } / C _ { v }

Explanation

Solution

Ratio of adiabatic and isothermal elasticities

EϕEθ=γPP=γ=CpCv\frac { E \phi } { E \theta } = \frac { \gamma P } { P } = \gamma = \frac { C _ { p } } { C _ { v } }