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JIPMER Jipmer Medical Solved Paper-2003

  • question_answer
    The root mean square velocity of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at \[0{}^\circ C\] is 3180 m/s. Calculate the pressure of hydrogen gas \[=8.99\times {{10}^{-10}}\text{kg/}{{\text{m}}^{\text{3}}}\text{,}\]atmosphere \[=1.01\times {{10}^{-5}}\text{N/}{{\text{m}}^{2}})\]      

    A)  3.0 atm               

    B)         2.0 aim

    C)         1.5 atm               

    D)         1.0 atm

    Correct Answer: A

    Solution :

    \[P=\frac{1}{3}\rho {{e}^{2}}\]     \[=\frac{1}{3}\times 8.99\times {{10}^{-2}}\times {{(3180)}^{2}}N\text{/}{{m}^{2}}\]     \[=\frac{1}{3}\times \frac{8.99\times {{10}^{-2}}\times {{(3180)}^{2}}}{1.01\times {{10}^{5}}}\text{atm}=3\,\text{atm}\]


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