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NEET Sample Paper NEET Sample Test Paper-33

  • question_answer
    \[{{N}_{2}}+{{O}_{2}}2NO\]          ......I
    \[\frac{1}{2}{{N}_{2}}+\frac{1}{2}{{O}_{2}}NO\]       ......II
    If \[{{K}_{1}}\] and \[{{K}_{2}}\] are equilibrium constants for reactions I and II respectively then the relation between \[{{K}_{1}}\]and \[{{K}_{2}}\]is:

    A)  \[{{K}_{1}}={{K}_{2}}\]          

    B)  \[{{K}_{2}}=\sqrt{{{K}_{1}}}\]

    C)  \[{{K}_{1}}=2{{K}_{2}}\]         

    D)  \[{{K}_{1}}=\frac{1}{2}{{K}_{2}}\]

    Correct Answer: B

    Solution :

    \[{{N}_{2}}+{{O}_{2}}2NO\] \[{{K}_{1}}=\frac{{{\left[ NO \right]}^{2}}}{\left[ {{N}_{2}} \right]\,\left[ {{O}_{2}} \right]}\] ?..I \[\frac{1}{2}{{N}_{2}}+\frac{1}{2}{{O}_{2}}NO\] \[{{K}_{2}}=\frac{\left[ NO \right]}{{{\left[ {{N}_{2}} \right]}^{{\scriptstyle{}^{1}/{}_{2}}}}{{\left[ {{O}_{2}} \right]}^{{\scriptstyle{}^{1}/{}_{2}}}}}\]   ?.II \[K_{2}^{2}=\frac{{{\left[ NO \right]}^{2}}}{\left[ {{N}_{2}} \right]\left[ {{O}_{2}} \right]}\] ?..III Hence, from equation I and III \[{{K}_{1}}=K_{2}^{2}\] \[{{K}_{2}}=\sqrt{{{K}_{1}}}\]


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