CET Karnataka Medical CET - Karnataka Medical Solved Paper-2012

  • question_answer
    At 300 K, a gaseous reaction: \[A\xrightarrow{{}}B+C\]was found to follow first order kinetics. Starting with pure A, the total pressure at the end of 20 minutes was 100 mm of Hg. The total pressure after the completion of the reaction is 180 mm of Hg. The partial pressure of A (in mm of Hg) is

    A)  \[100\]   

    B)  \[90\]

    C)  \[180\]   

    D)  \[80\]

    Correct Answer: D

    Solution :

    : \[A\to B+C\] On decomposition of 1 mole of A, 1 mole of B and after completion of the reaction corresponds to 2 moles and initial pressure to 1 mole.       Initial pressure of A, (i.e., \[{{p}_{\upsilon }}\]) \[=\frac{1}{2}\times 180=90mm\,\,Hg\]                      ?.. (i) \[\begin{matrix}    {} & A\to  & B+ & C  \\    at\,t=0 & {{p}_{\upsilon }} & 0 & 0  \\    after\,20\,\min  & {{p}_{\upsilon }}-p & p & p  \\ \end{matrix}\] After 20 minutes, the total pressure = 100 mm He \[{{p}_{\upsilon }}-p+p+p=100\] \[p+p=100\] from equation (1) \[90+p=100\] \[p=(100-90)=10mm\,Hg\] So partial pressure of \[A={{p}_{\upsilon }}-p\] \[=90-10=80mm\,Hg\]


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