MCQ
The degree of dissociation of $PCl_5(g)$ at $16.8\ bar$ and $127\,^oC$ is $0.4$ . The value of $K_p$ for the reaction 

$PC{l_5}(g) \rightleftharpoons PC{l_3}(g) + C{l_2}(g)$ is

  • $3.2\ bar$
  • B
    $3.2\ bar^{-1}$
  • C
    $0. 16 \times 16.8\ bar$
  • D
    $0. 4 \times 16.8\ bar$

Answer

Correct option: A.
$3.2\ bar$
a
Solution :  Given,

Total pressure = 16.8 bar

Degree of dissociation,  = 0.4

The given equilibrium reaction is,

                            

Initially                   1                  0                  0

At equilibrium                                 

Now we have to calculate the partial pressure of  and 

The expression of  will be,

Now put all the values in this expression, we get

Therefore, the equilibrium constant for the reaction is, 3.2

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