NEET Sample Paper NEET Sample Test Paper-89

  • question_answer
    A fixed mass of gas at constant pressure occupies a volume V. The gas undergoes a rise in temperature so that the root mean square velocity of its molecules is doubled. The new volume will be

    A) \[V/2\]  

    B)        \[V/\sqrt{2}\]

    C) \[2\,\,V\]                       

    D)        \[4\,\,V\]

    Correct Answer: D

    Solution :

    [d] Since \[{{v}_{rms}}\] is doubled by increasing the temp. so by \[{{v}_{rms}}=\sqrt{\frac{3KT}{m}},\] the temp. increase by four times. Now for constant pressure \[\frac{{{V}_{1}}}{{{T}_{1}}}=\frac{{{V}_{2}}}{{{T}_{2}}}\] \[{{V}_{1}}=V,\]\[{{T}_{1}}=T{}^\circ K,\]\[{{T}_{2}}=4T{}^\circ K,\]\[{{V}_{2}}=?\] \[{{V}_{2}}=4V\]


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