JEE Main & Advanced AIEEE Solved Paper-2003

  • question_answer
    What volume of hydrogen gas, at 273K and 1 atm pressure will be consumed in obtaining \[21.6\] g of elemental boron (atomic mass \[=10.8\]) from the reduction of boron trichloride by hydrogen?     AIEEE  Solved  Paper-2003

    A)                                         \[89.6\] L                            

    B)       \[67.2\] L                            

    C) \[44.8\] L                            

    D) \[22.4\] L

    Correct Answer: B

    Solution :

    \[\underset{2\,\,mol}{\mathop{2BC{{l}_{3}}}}\,+\underset{3\,\,mol}{\mathop{3{{H}_{2}}}}\,\xrightarrow{{}}\underset{2\,\,mol}{\mathop{2B}}\,+6HCl\]                     21.6 g = 2 mol 21.6 g of B = 2 mol of B \[\equiv \] 3 mol of \[{{H}_{2}}\]                     pV = nRT \[\therefore \]  \[V=\frac{nRT}{p}=\frac{3\times 0.0821\times 273}{1}=67.2\,L\]


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