NEET Physics Kinetic Theory of Gases NEET PYQ-Kinetic Theory Of Gases

  • question_answer
    A cylinder contains hydrogen gas at pressure of 249 kPa and temperature \[27{}^\circ C\].                 [NEET 2020] Its density is : \[(R=8.3\text{ }J\text{ }mo{{l}^{1}}\text{ }{{K}^{1}})\]

    A)  \[0.2\text{ }kg/{{m}^{3}}\]     

    B)       \[0.1\text{ }kg/{{m}^{3}}\]

    C)  \[0.02\text{ }kg/{{m}^{3}}\]   

    D)       \[0.5\text{ }kg/{{m}^{3}}\]

    Correct Answer: A

    Solution :

    [a]
                \[PM=\rho RT\Rightarrow \rho =\frac{PM}{RT}\]
                \[P=249\times {{10}^{3}}\,N/{{m}^{2}}\]
                \[M=2\times {{10}^{-3}}kg\]
                \[T=300\,K\]\[\therefore \rho =\frac{(249\times {{10}^{3}})(2\times {{10}^{-3}})}{8.3\times 300}=\frac{0.2\,kg}{{{m}^{3}}}\]


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