Question

Average value of poisson`s ratio for a mixture of two 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 $4cal$
• D. average molar heat capacity at constant V is $3cal$.

Answer 1

Answer: (A), (D)

The correct options are
A gases are mono-atomic
D average molar heat capacity at constant V is $3cal$.

$(a,c)$ ${\rm Y}$ for mono-atomic is $1.66$.
$\therefore$ $C_V=\frac{3R}{2},C_P=\frac{5}{2}R$
$C_{VM}=\frac{2\times \frac{3R}{2}+2\times \frac{3R}{2}}{4}$
$\therefore$ $C_V=3cal$
$C_{PM}=\frac{2\times \frac{5R}{2}+2\times \frac{5R}{2}}{4}$
$\therefore$ $C_P=5cal$