RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    The root mean square velocity and density of ideal gas are 1840 m/s and \[0.8\text{ }kg/{{m}^{3}}\]respectively. Its pressure will be

    A)  \[9.02\times {{10}^{5}}N/{{m}^{2}}\]   

    B)  \[0.02\times {{10}^{4}}N/{{m}^{2}}\]

    C)  \[9.02\times {{10}^{3}}N/{{m}^{2}}\]   

    D)  \[9.02\times {{10}^{6}}N/{{m}^{2}}\]

    Correct Answer: A

    Solution :

     \[{{v}_{rms}}=\sqrt{\frac{3RT}{M}}=\sqrt{\frac{3p}{\rho }}\] \[p=\frac{V_{rms}^{2}\rho }{3}\] \[=\frac{{{(1840)}^{2}}\times (0.8)}{3}\] \[=9.02\times {{10}^{5}}N/{{m}^{2}}\]


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