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KVPY Sample Paper KVPY Stream-SX Model Paper-23

  • question_answer
    A reaction \[2{{A}_{(g)}}\,\,\xrightarrow{k}\,\,{{B}_{(g)}}+3{{C}_{(g)}}\] has \[k=0.98\,\,h{{r}^{-1}}\] initial pressure of A is \[3{{P}_{0}}\] and that of B and C is zero. After time ?t? the total pressure due to products is \[{{P}_{0}}.\] The value of kt for the reaction is:

    A) \[\ell n3\]           

    B) \[\ell n1/3\]

    C) \[1/2\,\,\ell n\,\,1.2\]

    D) None of these

    Correct Answer: C

    Solution :

    \[2A\,\,\xrightarrow{K}\,\,B+3C\]
    \[\begin{matrix}    t=0 & 380 & 0 & 0  \\    t=t & 3{{p}_{0}}-2x & x & 3x  \\ \end{matrix}\]
    given, \[4x={{P}_{0}}\]
    \[x=\frac{{{P}_{0}}}{4}\]
    \[\therefore {{K}_{eff}}=2K=\frac{1}{t}\,\,\ell n\,\,\frac{6}{5}\]
    \[Kt=\frac{1}{2}\,\,\ell n\,\,(1.2)\]


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