Question

$C{O}_2(O-C-O)$is a triatomic gas. Mean kinetic energy of one-gram gas will be
(If $N$, Avogadro number; $k$, Boltzmann constant and molecular weight of $C{O}_2=44$)

• A. $3/88NkT$
• B. $6/88NkT$
• C. $5/88NkT$
• D. $7/88NkT$

Answer 1

The correct option is D $7/88NkT$

We know that:
$E=\frac{f}{2}\mu RT\text{also}R=NK$
$E=\frac{f}{2}\mu NKT$
$C{O}_{2}f=7.\mu =\frac{1}{44}$
$E=\frac{7}{2}\times \frac{1}{44}NKT$
$E=\frac{7}{88}NKT$