AIIMS AIIMS Solved Paper-2007

  • question_answer
    The    half-life    for    the    reaction \[{{N}_{2}}{{O}_{5}}\xrightarrow{{}}2N{{O}_{2}}+\frac{1}{2}{{O}_{2}}\] is \[2.4h\] at STP. Starting with 10.8 g of \[{{N}_{2}}{{O}_{5}}\] how much oxygen will be obtained after a period of \[9.6h\]?

    A)  \[1.5L\]                               

    B)  \[3.36L\]            

    C)         \[1.05L\]            

    D)         \[0.07L\]

    Correct Answer: C

    Solution :

    Moles of \[{{N}_{2}}{{O}_{5}}=\frac{10.8}{108}=0.1\] and, \[n=\frac{9.6}{2.4}=4\] here n = numbers of half-life. \[{{N}_{2}}{{O}_{5}}\xrightarrow{{}}2N{{O}_{2}}+\frac{1}{2}{{O}_{2}}\] \[\therefore \]  \[{{N}_{t}}=0.1\times {{\left( \frac{1}{2} \right)}^{n}}\] Moles of \[{{N}_{2}}{{O}_{5}}\] left \[=\frac{0.1}{16}\] Moles of \[{{N}_{2}}{{O}_{5}}\] changed to product \[=\left( 0.1-\frac{0.1}{16} \right)=\frac{1.5}{16}mol\] Moles of \[{{O}_{2}}\] formed \[=\frac{1.5}{16}\times \frac{1}{2}=\frac{1.5}{32}\] Volume of oxygen \[=\frac{1.5}{32}\times 22.4\] \[=1.05L\]


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