Question

The Poisson's ratio for $O_2$ is $1.4$. Which of the following are correct for $O_2$?

• A. $C_v=5cal{K}^{-1}mo{l}^{-1}$
• B.
  $C_v=0.156cal{K}^{-1}{g}^{-1}$
• C.
  $C_p=\frac{R\gamma }{\gamma -1}$
• D.
  $C_v=\frac{2R}{(\gamma -1)}$

Answer 1

The correct option is B

$C_v=0.156cal{K}^{-1}{g}^{-1}$
$\frac{c_p}{c_v}=1.4=\gamma$
$c_p-c_v=R$
$\therefore$ $c_v=\frac{R}{\gamma -1}$ and similarly $c_p-\frac{c_p}{\gamma }=R$
$\therefore$ $c_v=\frac{2}{0.4}=5cal{K}^{-1}mo{l}^{-1}$ $\therefore$ $c_p=\frac{\gamma \cdot R}{(\gamma -1)}$
Also, $C_v=\frac{2}{0.4\times 32}=0.156cal{K}^{-1}{g}^{-1}$