1)

For a rigid diatomic molecule, universal gas constant R= nCp,  where 'Cp' is the molar specific heat at constant pressure and 'n' is a number. Hence n is  equal to


A) 0.2257

B) 0.4

C) 0.2857

D) 0.3557

Answer:

Option C

Explanation:

 As we know, for rigid diatomic molecule,

  $\frac{C_{p}}{C_{v}}=\frac{7}{5}$

$\therefore$     ${C_{v}}=\frac{7}{5}C_{p}$     ..........(i)

 also, Cp  -Cv  = R

$\Rightarrow$      ${C_{p}}-\frac{5}{7}C_{p}=R$  [$\because$  drom eq.(i)]

$\Rightarrow$     ${\frac{2}{7}C_{p}}=R$

 $\therefore$      $n={\frac{2}{7}}=0.2857$