STD 12 - 8.2 Carboxylic acids and their derivative — NEET STD 11 Science — Question

$PCl _{5}( g ) \rightleftharpoons PCl _{3}( g )+ Cl _{2}( g )$

$5$ moles of $PCl _{5}$ are placed in a $200$ $litre$ vessel which contains $2\, moles$ of $N _{2}$ and is maintained at $600 \,K$. The equilibrium pressure is $2.46 \,atm$. The equilibrium constant $K _{ p }$ for the dissociation of $PCl _{5}$ is $......\,\times 10^{-3}$. (nearest integer)

(Given: $R =0.082\, L \,atm \,K ^{-1} \,mol ^{-1}$ : Assume ideal gas behaviour)

$\begin{array}{*{20}{c}}
  {OH\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {C{H_3}CHC{H_2}C{H_2}N{H_2}} 
\end{array}$ $\xrightarrow[{triethyla\min e}]{{ethyl\,formate\,\left( {1\,equiv} \right)}}$