JCECE Medical JCECE Medical Solved Paper-2004

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

    A)  \[6.23\times {{10}^{26}}\]

    B) \[0.33\times {{10}^{28}}\]

    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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