The ratio of two specific heats of gas C_p /C_Vfor 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:

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$\frac{8}{7} P$

1.4 P

$\frac{7}{8} P$

answer is B.

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Detailed Solution

Adiabatic elasticity = $γ$ (pressure)
For Argon ${(E_{ϕ})}_{A r} = 1.6 P$ and for Hydrogen ${(E_{ϕ})}_{H_{2}} = 1.4 P^{'}$ .
According to problem ${(E_{ϕ})}_{H_{2}} = {(E_{ϕ})}_{A r}$

$\Rightarrow 1.4 P^{'} = 1.6 P \Rightarrow P^{'} = \frac{16}{14} P = \frac{8}{7} P$

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