JEE Main & Advanced Sample Paper JEE Main Sample Paper-31

  • question_answer
    For a reaction \[A+2B\xrightarrow{{}}C+D\], the following data were obtained:
    Expt. Initial concentration Initial rate of formation of D (Mol \[L-1\] \[Mi{{n}^{-1}}\])   
    1 \[0.1\] \[0.1\] \[6.0\times {{10}^{-3}}\]
    2 \[0.3\] \[0.2\] \[7.2\times {{10}^{-1}}\]
    3 \[0.3\] \[0.4\] \[2.88\times {{10}^{-1}}\]
    4 \[0.4\] \[0.1\] \[2.4\times {{10}^{-2}}\]
    The correct rate law expression will be

    A) Rate \[=k[A]\,\,[B]\]     

    B) Rate \[=k[A]\,\,{{[B]}^{2}}\]

    C) Rate \[=k{{[A]}^{2}}\,\,{{[B]}^{2}}\]

    D)    Rate \[=k{{[A]}^{2}}\,\,[B]\]

    Correct Answer: B

    Solution :

    \[r=k{{[A]}^{x}}{{[B]}^{y}}\] \[6.0\times {{10}^{-3}}=K{{(0.1)}^{x}}{{(0.1)}^{y}}\]?[a] \[2.4\times {{10}^{-2}}=K{{(0.1)}^{x}}{{(0.1)}^{y}}\]                         ?[b] [b] / [a] gives x = 1 \[7.2\times {{10}^{-2}}=K{{(0.3)}^{x}}{{(0.2)}^{y}}\]                         ?[c] \[2.88\times {{10}^{-1}}=K{{(0.3)}^{x}}{{(0.4)}^{y}}\]                       ?[d] [d] / [c] gives y = 2.


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