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MGIMS WARDHA MGIMS WARDHA Solved Paper-2004

  • question_answer
    If the r.m.s. speed of a gaseous molecule is\[x\] m/sec at a pressure P atm, then what will be the r.m.s. speed at a pressure 2P atm and constant temperature?

    A)  \[x\]                                    

    B)  \[2x\]

    C)  \[4x\]                                  

    D) \[x/4\]

    Correct Answer: A

    Solution :

                     r.m.s. speed of a gaseous molecule is\[x\]m/sec at a pressure P atm. We know that in kinetic theory of gas r.m.s. speed\[=\sqrt{\frac{3RT}{M}}\] We know\[PV=RT\] then r.m.s. speed\[=\sqrt{\frac{3PV}{M}}\] As temperature is constant. So PV is constant. Hence, r.m.s. speed is also constant. If the pressure is doubled at constant temperature, there is no change in r.m.s. speed.


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