KVPY Sample Paper KVPY Stream-SX Model Paper-3

  • question_answer
    The decomposition \[N{{H}_{3}}\] gas on a heated tungsten surface gave the following results:
    Initial pressure (m m) 65 105 y 185
    HIf-life (sec) 290 x 670 820
    Calculate approximately the values of x and y.

    A) \[x=410\,\,\sec \]                       

    B) \[x=467\text{ }sec\]

    C) \[x=490\text{ }sec\]                  

    D) \[x=430\text{ }sec\]

    Correct Answer: B

    Solution :

    [B]
      Y=115 mm Y=150 mm Y=120 mm Y=105 mm
    Initial pressure 65 105 Y 185
    Half life 290 X 670 820
    Initial pressure of gas \[\alpha \] Initial moles of gas in above question.
    Half-life \[\alpha \] Initial pressure
    So, it must be zero order reaction
    \[{{t}_{1/2}}=\frac{{{C}_{0}}}{2k}=\frac{{{P}_{0}}}{2k}\]                \[290=\frac{65}{2k}\]
    \[\Rightarrow k=\frac{65}{2\times 290}=0.112\,\,mm\,\,of\,\,Hg/\sec \]
    \[x=\frac{105\times 2\times 290}{2\times 65}=468\,\sec \]
    \[670=\frac{y\times 2\times 290}{2\times 64}\]    
    \[\Rightarrow y=150\,\,mm\,\,of\,\,Hg\]


You need to login to perform this action.
You will be redirected in 3 sec spinner