JEE Main & Advanced Sample Paper JEE Main Sample Paper-11

  • question_answer
    When \[{{N}_{2}}{{O}_{5}}\] is heated at temp. T, it dissociates as \[{{N}_{2}}{{O}_{5}}\]\[(g){{N}_{2}}{{O}_{3}}(g)\] \[+{{O}_{2}}(g),\] \[{{K}_{c}}=2.5\]. At the same time \[{{N}_{2}}{{O}_{3}}\] also decomposes as \[{{N}_{2}}{{O}_{3}}(g)\] \[{{N}_{2}}O(g)+{{O}_{2}}(g)\]. If initially 4.0 moles of \[{{N}_{2}}{{O}_{5}}\]are taken in 2.0 litre flask and allowed to attain equilibrium, concentration of \[{{O}_{2}}\] was formed to be 2.5M. Equilibrium concentration of \[{{N}_{2}}O\] is

    A)  2.0                                        

    B)  1.0

    C)  0.334                   

    D)  None of these

    Correct Answer: B

    Solution :

     \[\underset{\text{co}{{\text{n}}^{\text{n}}}\,\text{at}\,\text{e}{{\text{q}}^{\text{m}}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2-x}{\mathop{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{N}_{2}}{{O}_{5}}(g)}}\,\underset{x-y}{\mathop{{{N}_{2}}{{O}_{3}}(g)}}\,+\underset{x+y}{\mathop{{{O}_{2}}(g)}}\,\] \[\,\,\,\underset{co{{n}^{n}}at\,e{{q}^{m}}}{\mathop{{{N}_{2}}{{O}_{3}}(g)}}\,\underset{x-y}{\mathop{}}\,\underset{y}{\mathop{{{N}_{2}}O(g)}}\,+\underset{y+x}{\mathop{{{O}_{2}}(g)}}\,\] \[2.5=\frac{2.5\times (x-y)}{(2-x)}\] \[x-y=2-x\] or \[2x-y=2\] & as per given\[[{{O}_{2}}(g)]=x+y=2.5\] \[x=1.5\] and \[[{{N}_{2}}O(g)]=y=1.0\]


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