The ratio of two specific heats of gas $C_{P} / C_{V}$ for argon is $1.6$ and for hydrogen is $1.4$ . If adiabatic elasticity of argon at pressure $p$ is $E$ , then at what pressure the adiabatic elasticity of hydrogen will also be equal to $E$ ?

p

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1.4 p

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\frac{7}{8} p

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\frac{8}{7} p

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Solution

The correct option is C $\frac{8}{7} p$
Adiabatic elasticity,
For argon, $E_{A r} = 1.6 p . . . (i)$
For hydrogen $E_{H} = 1.4 p^{'} . . . (i i)$
As elasticity of argon and hydrogen are equal
$∴ 1.6 p = 1.4 p^{'}$
$p^{'} = \frac{1.6}{1.4} = \frac{8}{7} p$

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The ratio of two specific heats of gas CP/CV for argon is 1.6 and for hydrogen is 1.4. If adiabatic elasticity of argon at pressure p is E, then at what pressure the adiabatic elasticity of hydrogen will also be equal to E?

The correct option is C 87pAdiabatic elasticity, For argon, EAr=1.6p...(i)For hydrogen EH=1.4p′...(ii)As elasticity of argon and hydrogen are equal∴1.6p=1.4p′p′=1.61.4=87p

The ratio of two specific heats of gas $C_{P} / C_{V}$ for argon is $1.6$ and for hydrogen is $1.4$ . If adiabatic elasticity of argon at pressure $p$ is $E$ , then at what pressure the adiabatic elasticity of hydrogen will also be equal to $E$ ?

The correct option is C $\frac{8}{7} p$
Adiabatic elasticity,
For argon, $E_{A r} = 1.6 p . . . (i)$
For hydrogen $E_{H} = 1.4 p^{'} . . . (i i)$
As elasticity of argon and hydrogen are equal
$∴ 1.6 p = 1.4 p^{'}$
$p^{'} = \frac{1.6}{1.4} = \frac{8}{7} p$