The degree of dissociation $(\alpha )$ of $PCl_5$ obeying the equilibrium;  is $PC{l_5}\, \rightleftharpoons \,PC{l_3}\, + \,C{l_2}$ related to the pressure at equlibrium by

  • A

    $\alpha \, \propto \,P$

  • B

    $\alpha \, \propto \,\frac{1}{{\sqrt P }}$

  • C

    $\alpha \, \propto \,\frac{1}{{{P^2}}}$

  • D

    $\alpha \, \propto \,\frac{1}{{{P^4}}}$

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$K _{ a_1,}, K _{ a_2 }$ and $K _{ a_3}$ are the respective ionization constants for the following reactions $(a), (b),$ and $(c)$.

$(a)$ $H _{2} C _{2} O _{4} \rightleftharpoons H ^{+}+ HC _{2} O _{4}^{-}$

$(b)$ $HC _{2} O _{4}^{-} \rightleftharpoons H ^{+}+ HC _{2} O _{4}^{2-}$

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The relationship between $K_{a_{1}}, K_{ a _{2}}$ and $K_{ a _{3}}$ is given as

  • [JEE MAIN 2022]