RAJASTHAN PMT Rajasthan - PMT Solved Paper-2000

  • question_answer
    \[2\text{ }moles\]of \[PC{{l}_{5}}\] were heated in a closed vessels of 2 litre capacity at equilibrium 40% of \[PC{{l}_{5}}\] dissociated in \[PC{{l}_{3}}\] and \[C{{l}_{2}}\]. The value of the equilibrium constant is:

    A)  \[2.67\]             

    B)         \[5.3\]

    C)  \[0.53\]              

    D)         \[0.267\]

    Correct Answer: D

    Solution :

    \[\underset{2-0.8=12}{\mathop{\underset{2-\frac{40}{100}\times 2}{\mathop{\underset{2}{\mathop{PC{{l}_{5}}}}\,}}\,}}\,\underset{0.8}{\mathop{\underset{0}{\mathop{PC{{l}_{3}}}}\,}}\,+\underset{0.8}{\mathop{\underset{0}{\mathop{C{{l}_{2}}}}\,}}\,\] so,          \[[PC{{l}_{5}}]=\frac{1.2}{2}=0.6\]                 \[[PC{{l}_{3}}]=\frac{0.8}{2}=0.4\]                 \[[C{{l}_{2}}]=\frac{0.8}{2}=0.4\]                 \[Kc=\frac{[PC{{l}_{3}}][C{{l}_{2}}]}{[PC{{l}_{5}}]}\]                 \[=\frac{0.4\times 0.4}{0.6}=\frac{1.6}{0.6}\]                 \[=0.267\]


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