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KVPY Sample Paper KVPY Stream-SX Model Paper-11

  • question_answer
    Decomposition of A follows first order kinetics by the following equation.
    \[4A\,(g)\xrightarrow{{}}B\,(g)+2C\,(g)\]
    If initially, total pressure was 800 mm of Hg and after 10 minutes it is found to be 650 mm of Hg. What is half-life of A? (Assume only A is present initially)

    A) 10 mins

    B) 5 mins

    C) 7.5 mins

    D) 15 mins

    Correct Answer: B

    Solution :

    \[4A(g)\xrightarrow{{}}B(g)\] + 2c(g)
    \[t=0\] 800 \[-\] \[-\]
    \[t=10\,\text{minutes},\] \[800-4p\] P 2p
    \[800-p=650\]
                \[\therefore \] \[p=150\] Pressure of \[A=200,\] so \[\therefore \]      \[2\times {{t}_{1/2}}=10\,\text{minutes}\]             \[{{t}_{1/2}}=5\,\text{minutes}\]


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