2. Solved Papers
  3. RAJASTHAN PMT

RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

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

    A)  1.0 atm                               

    B)  1.5 atm

    C)  2.0 atm               

    D)         3.0 atm

    Correct Answer: D

    Solution :

    \[{{v}_{rms}}=\sqrt{\frac{3p}{\rho }}\] \[\Rightarrow \]               \[p=\frac{v_{rms}^{2}\rho }{3}=\frac{{{(3180)}^{2}}\times 8.99\times {{10}^{-2}}}{3}\]                     \[=3\times {{10}^{5}}N/{{m}^{2}}=3\,\,atm\]


You need to login to perform this action.
You will be redirected in 3 sec spinner