The ratio of two specific heats of gas ${C_p}/{C_v}$ for argon is $1.6$ 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$\frac{8}{7}P$
C$\frac{7}{8}P$
D$1.4 \,P$
Diffcult
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B$\frac{8}{7}P$
b (b) Adiabatic elasticity $E = \gamma P$
For argon ${E_{Ar}} = 1.6\;P$….$(i)$
For hydrogen${E_{H2}} = 1.4P'$….$(ii)$
As elasticity of hydrogen and argon are equal
$1.6P = 1.4P'$ $⇒$ $P' = \frac{8}{7}P$
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