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JCECE Engineering JCECE Engineering Solved Paper-2004

  • question_answer
    The number of oxygen molecules in a cylinder of volume \[1\,\,{{m}^{3}}\] at a temperature of  \[{{27}^{o}}C\] and pressure of \[13.8\,\,Pa\] is: (Boltzmann's constant\[k=1.38\times {{10}^{-23}}J\,\,{{K}^{-1}})\]

    A) \[6.13\times {{10}^{26}}\]                           

    B) \[0.3\times {{10}^{28}}\]

    C) \[3.3\times {{10}^{21}}\]                             

    D)  none of these

    Correct Answer: C

    Solution :

    From ideal gas equation                 \[PV=nkT\] \[\Rightarrow \]               \[n=\frac{PV}{kT}\] Putting \[P=13.8\,\,Pa,\,\,V=1{{m}^{3}}\]                 \[k=1.38\times {{10}^{-23}}J{{K}^{-1}},\,\,T=300K\] \[\therefore \]  \[n=\frac{13.8\times 1}{1.38\times {{10}^{-23}}\times 300}\]                 \[n=3.3\times {{10}^{21}}\]


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