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AMU Medical AMU Solved Paper-2006

  • 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 \[\left( \text{Given}:\text{R}=\text{ 8}.\text{3J}/\text{mol K},{{\text{C}}_{\text{p}}}\text{ }=\text{ 4}.\text{8 cal}/\text{mol K} \right)\]

    A)  1600 m/s                            

    B)  1532.19 m/s

    C)  160 m/s                              

    D)  zero

    Correct Answer: B

    Solution :

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


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