Question

Average value of poisson's ratio for a mixture of $2\, mol$ 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 $4\, cal$
• D. Average molar heat capacity at constant $V$ is $3 \,cal$

Answer 1

Answer: (A), (C)

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