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JEE Main & Advanced Sample Paper JEE Main Sample Paper-16

  • question_answer
    The progress of reaction \[A(g)\rightleftharpoons xB(g)+yC(g)\] with time is presented in figure. What is the value of \[{{K}_{C}}^{o}\] at 300 K.

    A)  1                                            

    B)  2

    C)  3                                            

    D)  4

    Correct Answer: B

    Solution :

    \[-\frac{d\left[ A \right]}{dt}=\frac{1}{x}\frac{d[B]}{dt}=\frac{1}{y}\frac{d[C]}{dt}\] \[-\frac{\left( 2-3 \right)}{t}=\frac{1}{x}\frac{\left( 2-0 \right)}{t}\Rightarrow x=2\] \[-\frac{\left( 2-3 \right)}{t}=\frac{1}{y}\frac{\left( 1-0 \right)}{t}\Rightarrow y=1\] \[\therefore \]\[{{K}_{C}}=\frac{{{[B]}^{x}}{{[C]}^{y}}}{[A]}=\frac{{{2}^{2}}\times {{1}^{1}}}{2}=2\]


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