CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    5 moles of \[\text{S}{{\text{O}}_{\text{2}}}\]and 5 moles of \[{{\text{O}}_{2}}\] are allowed to react to form\[\text{S}{{\text{O}}_{\text{3}}}\]in a closed vessel. At the equilibrium stage 60% of \[\text{S}{{\text{O}}_{2}}\]is used up. The total number of moles of\[\text{S}{{\text{O}}_{\text{2}}}\text{,}{{\text{O}}_{\text{2}}}\]and\[\text{S}{{\text{O}}_{\text{3}}}\]in the vessel now is:

    A)  \[10.0\]                              

    B) \[8.5\]

    C)  \[10.5\]                              

    D)  \[3.9\]

    Correct Answer: B

    Solution :

    \[2S{{O}_{2}}+{{O}_{2}}\rightleftharpoons 2S{{O}_{3}}\] At equilibrium 60% of \[\text{S}{{\text{O}}_{\text{2}}}\]is used up 5 moles of \[\text{S}{{\text{O}}_{\text{2}}}\]and 5 moles of \[{{\text{O}}_{2}}\] react to form \[\text{S}{{\text{O}}_{\text{3}}}\] Hence,\[\underset{5}{\mathop{2S{{O}_{2}}}}\,+\underset{5}{\mathop{{{O}_{2}}}}\,\rightleftharpoons \underset{-}{\mathop{2S{{O}_{3}}}}\,\] 60% of 5 moles \[=5\,\text{moles}\] \[\begin{align}   & \text{initial}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2x\,\,\,\,\,x\,\,\,\,\,\,\,\,\,\,\,\,\,2x \\  & \text{used}\,\text{up}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,3\,\,\,\,\,\,\,\,\,\,1.5\,\,\,\,\,\,\,\,2\times 1.5 \\  & \text{concentration}\,\,\,\,\,2\,\,\,\,\,\,\,\,\,\,\,3.5\,\,\,\,\,\,\,3 \\  & \text{at}\,\text{equilibrium}\,\,\,\, \\ \end{align}\] \[\therefore \]Total number of molecules \[=2+3.5+3=8.5\]


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