Question

For which gas Y=Cp/Cv will maximum

Answer 1

for which gas y=cp/cv will be maximum

Answer 2

For monoatomic gases, like Kr, Ne, and Ar, Y= $\frac{C_p}{C_v}$ is the maximum.

Given,

Y= $\frac{C_p}{C_v}$.

To Find,

The type of gases for those, Y= $\frac{C_p}{C_v}$ is maximum.

Solution,

We can solve or find this using the following method.

We know,

• At constant pressure, the molar heat capacity C is denoted as $C_p$.
• The molar heat capacity C is expressed $C_v$ at a constant volume.

For some diatomic gases $O_2, H_2, N_2$ $C_v = \frac{5}{2}R, C_P=\frac{7}{2}R$.

Y= $\frac{C_p}{C_v}$

⇒Y=$\frac{\frac{7R}{2} }{\frac{5R}{2} }$

⇒Y=1.4.

For those triatomic gases, $O_3$,

$C_v = 3R, C_P=4R$.

⇒Y=$\frac{4R }{3R }$

⇒Y=1.33.

For monoatomic gases,Ne, Kr, Ar,

$C_v = \frac{3}{2} R, C_P=\frac{5}{2} R$.

⇒Y=$\frac{\frac{5R}{2} }{\frac{3R}{2} }$

⇒Y=1.67.

Obviously, 1.67>1.4>1.33.

Hence, monoatomic gases, like Kr, Ne, and Ar for those, Y= $\frac{C_p}{C_v}$ is the maximum.

#SPJ3