Question

The degree of dissociation of dinitrogen tetra oxide $N_2{O}_{4_{\left(g\right)}}\to 2N{O}_{2_{\left(g\right)}}$ at temperature T and total pressure P is $\propto$. Which of the following is correct explanation for the equilibrium constant $K_p$ at this temperature?

• A. $\frac{2{\propto }^{2}P}{(1-{\propto }^2)}$
• B. $\frac{{\propto }^{2}P}{1-\propto }$
  
• C. $\frac{4{\propto }^2}{1-{\propto }^2}$
  
• D. $\frac{4{\propto }^{2}p}{1-{\propto }^2}$

Answer 1

The correct option is D $\frac{4{\propto }^{2}p}{1-{\propto }^2}$

$\begin{array}{ccc}{N}_2{O}_{4_{\left(g\right)}}& \rightleftharpoons & 2N{O}_{2_{\left(g\right)}}\\ Initaial& a& O\\ Ateq{b}^{\prime }& a(1-\propto )& 2a\propto \end{array}$
Total moles = $a(1-\propto )+2a\propto$
$=a(1+\propto )$