JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Law of equilibrium and Equilibrium constant

  • question_answer
    In the reaction, \[{{H}_{2}}+{{I}_{2}}\]⇌\[2HI\]. In a 2 litre flask 0.4 moles of each \[{{H}_{2}}\] and \[{{I}_{2}}\] are taken. At equilibrium 0.5 moles of \[HI\] are formed. What will be the value of equilibrium constant, \[{{K}_{c}}\]             [CPMT 2004]

    A)                 20.2       

    B)                         25.4

    C)                 0.284    

    D)                 11.1

    Correct Answer: D

    Solution :

                   \[\underset{0.4-0.25\ =\ 0.15}{\mathop{\underset{0.4}{\mathop{{{H}_{2}}}}\,}}\,\]\[+\] \[\underset{0.4-0.25\ =\ 0.15/2}{\mathop{\underset{0.4}{\mathop{{{I}_{2}}}}\,}}\,\]⇌ \[\underset{0.50/2}{\mathop{\underset{0.50\,\,\,\,}{\mathop{2HI\,\,\,\,}}\,}}\,\]                                 \[{{K}_{c}}=\frac{{{[HI]}^{2}}}{[{{H}_{2}}][{{I}_{2}}]}=\frac{{{\left[ \frac{0.5}{2} \right]}^{2}}}{\left[ \frac{0.15}{2} \right]\,\left[ \frac{0.15}{2} \right]}\]          \[=\frac{0.5\times 0.5}{0.15\times 0.15}=11.11\]


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