During an adiabatic process, the pressure of a gas found to be proportional to the cube of its temperature. The ratio of Cp/Cv for the gas is

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During an adiabatic process, the pressure of a gas found to be proportional to the cube of its temperature. The ratio of Cp/Cv for the gas is –

Physics | Physics

During an adiabatic process, the pressure of a gas found to be proportional to the cube of its temperature. The ratio of Cp/Cv for the gas is –

Option A 3/2
Option B 4/3
Option C 2
Option D 5/3

Solution:
The correct option is Option A

$P\alpha {{T}^{3}}$

$P{{V}^{\gamma }}=cons\tan t$

$P{{\left( \frac{T}{P} \right)}^{\gamma }}=cons\tan t$

${{P}^{\left( 1-\gamma \right)}}.{{T}^{\gamma }}=cons\tan t$

$\frac{\gamma }{\gamma -1}=3$

$\gamma =3/2$

i

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