A) \[1\times {{10}^{-3}}\]
B) \[1\times {{10}^{-2}}\]
C) \[2\times {{10}^{-1}}\]
D) \[1\times {{10}^{-1}}\]
Correct Answer: D
Solution :
Key Idea For the reaction \[{{n}_{1}}A+{{n}_{2}}B{{m}_{1}}C+{{m}_{2}}D\] Equilibrium constant \[({{K}_{c}})=\frac{{{[C]}^{{{m}_{1}}}}{{[D]}^{{{m}_{2}}}}}{{{[A]}^{{{n}_{1}}}}{{[B]}^{{{n}_{2}}}}}\] When \[PC{{l}_{5}}\] is heated, then following reaction takes place \[PC{{l}_{5}}PC{{l}_{3}}+C{{l}_{2}}\] Initial 2 0 0 At equi. 1.6 0.4 0.4 \[{{K}_{c}}=\frac{[PC{{l}_{3}}]\,\,[C{{l}_{2}}]}{[PC{{l}_{5}}]}\] \[=\frac{(0.4)\,\,(0.4)}{(1.6)}=\frac{0.16}{1.6}\] \[=1\times {{10}^{-1}}\]
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