The ratio of adiabatic to isothermal elasticity of a diatomic gas is

Question

The ratio of adiabatic to isothermal elasticity of a diatomic gas is (A) 1.67 (B) 1.4 (C) 1.33 (D) 1.27

Tardigrade Admin · Accepted Answer

K text isothermal = text Pressure of gas (P) K text adiabatic =&gamma; × text pressure of gas (&gamma; ⋅ P) Ratio =(&gamma; P/P)=&gamma; &gamma; of diatomic gas =(7/5)=1.4

Q. The ratio of adiabatic to isothermal elasticity of a diatomic gas is

1.67

1.4

1.33

1.27

$K_{isothermal} = Pressure of gas (P)$
$K_{adiabatic} = γ \times pressure of gas (γ \cdot P)$
Ratio $= \frac{γ P}{P} = γ$
$γ$ of diatomic gas $= \frac{7}{5} = 1.4$

Q. The ratio of adiabatic to isothermal elasticity of a diatomic gas is

1.67

1.4

1.33

1.27

Kisothermal ​= Pressure of gas (P) Kadiabatic ​=γ× pressure of gas (γ⋅P) Ratio =PγP​=γ γ of diatomic gas =57​=1.4

$K_{isothermal} = Pressure of gas (P)$
$K_{adiabatic} = γ \times pressure of gas (γ \cdot P)$
Ratio $= \frac{γ P}{P} = γ$
$γ$ of diatomic gas $= \frac{7}{5} = 1.4$