Question

At constant temperature, the equilibrium constant $( K_p)$ the decomposition reaction, $N_2 O_4 \rightleftharpoons NO_2$, is expressed by $K_p = \frac{ 4x^2 \, p }{ (1 - x^2 ) } ,$ where, $p$ = pressure,$x$ = extent of decomposition. Which one of the following statement is true ?

• A. $K_p$ p increases with increase of p
• B. $K_p$ p increases with increase of x
• C. $K_p$ p increases with decrease of x
• D. $K_p$ p remains constant with change in p and x

Answer 1

Answer: (D)

$K_p$ p remains constant with change in p and x

Answer 2

\begin{array} \ N_2 O_4 \ (g) \rightleftharpoons 2NO_2, \ K_p = \frac{ 4x^2 \ p}{ 1 - x^2 } \\\ 1 - x \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 x \\\ \end{array}
$K_p$ is function of temperature only, does not
change with either p or x.