CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    When temperature of an ideal gas is increased from\[27{}^\circ C\]and\[227{}^\circ C,\]its rms speed is changed from 400 m/s to\[{{V}_{s}}\]. The \[{{V}_{s}}\] is

    A)  516 m/s              

    B)  450 m/s

    C)  310 m/s              

    D)  746 m/s

    Correct Answer: A

    Solution :

                    We know that rms speed is directly proportional in square root of temperature\[{{V}_{rms}}\times \sqrt{T}\] \[\frac{{{V}_{rms\,(1)}}}{{{V}_{rms\,(2)}}}=\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\] \[\frac{400}{{{V}_{rms\,(2)}}}=\sqrt{\frac{27+273}{273+273}}\] \[=\sqrt{\frac{300}{500}}\] \[{{V}_{rms\,(2)}}=\sqrt{\frac{500}{300}}\times 400\]                 \[=1.29\times 400=516.39\,m\text{/}s\]


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