BCECE Engineering BCECE Engineering Solved Paper-2011

  • question_answer
    Consider a gas with density \[\rho \] and \[\overline{\text{c}}\] as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity v, then the pressure exerted by the gas is

    A) \[\frac{1}{3}\rho {{\overline{\text{c}}}^{2}}\]                                    

    B) \[\frac{1}{3}\rho {{(c+v)}^{2}}\]

    C)        \[\frac{1}{3}\rho {{(\overline{c}-v)}^{2}}\]          

    D)        \[\frac{1}{3}\rho {{({{\overline{c}}^{2}}-v)}^{2}}\]

    Correct Answer: A

    Solution :

    Pressure of ideal gas, \[P=\frac{1}{3}\rho {{\bar{c}}^{2}}\] \[p\propto \rho \]


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