Question

Average value of poisson's ratio for a mixture of $2mol$ of each gas $A$ and $B$ is $1.66$, then

• A. Gases are mono-atomic
• B. Gases are diatomic
• C. Average molar heat capacity at constant volume is $4cal$
• D. Average molar heat capacity at constant $V$ is $3cal$

Answer 1

Answer: (A), (C)

$\gamma$ for mono-atomic is $1.66$
$\therefore C_V=\frac{3R}{2},C_P=\frac{5}{2}R$
$C_{VM}=\frac{2\times \frac{3R}{2}+2\times \frac{3R}{2}}{4}\therefore C_V=3cal$
$C_{PM}=\frac{2\times \frac{5R}{2}+2\times \frac{5R}{2}}{4}\therefore C_P=5cal$