Manipal Medical Manipal Medical Solved Paper-2005

  • question_answer
    If at NTP velocity of sound in a gas is 1150 m/s, then the rms velocity of gas molecules at NTP is: (Given\[R=8.3\text{ }joule/mol/K,\]\[{{C}_{p}}=4.8cal/mol/K\])

    A)  1600 m/s     

    B)  1532.19 m/s

    C)  160 m/s      

    D)  zero

    Correct Answer: B

    Solution :

     \[R=\frac{8.3}{4.2}cal\,g/mol/K\] \[{{C}_{V}}={{C}_{p}}-R=\left( 4.8-\frac{8.3}{4.2} \right)=2.824\] \[\gamma =\frac{{{C}_{P}}}{{{C}_{V}}}=\frac{4.8}{2.824}=1.69\] Since, \[\upsilon =\sqrt{\left( \frac{3}{\gamma } \right)}{{\upsilon }_{s}}=\sqrt{\frac{3}{1.69}\times 1150}\] \[=1532.19\text{ }m/s\]


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