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Question: The ratio of two specific heats of gas \(C _ { p } / C _ { v }\) for argon is1.6 and for hydrogen is...

The ratio of two specific heats of gas Cp/CvC _ { p } / C _ { v } for argon is1.6 and for hydrogen is 1.4. Adiabatic elasticity of argon at pressure P is E. Adiabatic elasticity of hydrogen will also be equal to E at the pressure

A

P

B

87P\frac { 8 } { 7 } P

C

78P\frac { 7 } { 8 } P

D

1.4 P

Answer

87P\frac { 8 } { 7 } P

Explanation

Solution

Adiabatic elasticity = γ (pressure)

For Argon (Eϕ)Ar=1.6P\left( E _ { \phi } \right) _ { A r } = 1.6 P and for Hydrogen

(Eϕ)H2=1.4P\left( E _ { \phi } \right) _ { H _ { 2 } } = 1.4 P ^ { \prime }

According to problem =87P= \frac { 8 } { 7 } P.