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JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Sample Paper Topic Test - Chemical Equilibrium

  • question_answer
    For the reaction \[A(g)+2B(g)\rightleftharpoons C(g)+D(g);{{K}_{C}}={{10}^{12}}.\] If the initial moles of A, B, C and D are 0.5, 1, 0.5 and 3.5 moles respectively in a one litre vessel. What is the equilibrium concentration of B?

    A) \[{{10}^{-4}}\]

    B) \[2\times {{10}^{-4}}\]

    C) \[4\times {{10}^{-4}}\]

    D) \[8\times {{10}^{-4}}\]

    Correct Answer: B

    Solution :

    [b] \[\underset{n}{\mathop{A}}\,\underset{\approx y}{\mathop{\underset{0.5-x}{\mathop{(g)}}\,}}\,+2B\underset{\approx 2y}{\mathop{\underset{1-2x}{\mathop{(g)}}\,}}\,C\underset{\approx 1}{\mathop{\underset{0.5+x}{\mathop{(g)+D}}\,}}\,\underset{\approx 4}{\mathop{\underset{3.5+x}{\mathop{(g)}}\,}}\,\]  (due to very high value of equilibrium constant) \[{{10}^{12}}=\frac{1\times 4}{y\times {{(2y)}^{2}}};y={{10}^{-4}};[B(g)]=2y\Rightarrow 2\times {{10}^{-4}}\]


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