JEE Main & Advanced Sample Paper JEE Main - Mock Test - 32

  • question_answer
    An ideal gas is initially at temperature T and volume V. Its volume is increased by A F due to an increase in temperature\[\Delta T\], pressure remaining constant. The quantity \[\delta =\frac{\Delta V}{V\Delta T}\], varies with temperature as

    A)   

    B)

    C)  

    D)

    Correct Answer: C

    Solution :

    We know that \[\operatorname{V}/T=constant\] \[\therefore \,\,\,\,\frac{V+\Delta V}{T+\Delta T}=\frac{V}{T}\,\,\,\,\,or\,\,\,\,\,VT+T\Delta V=VT+V\Delta T\] or \[T\Delta V=V\Delta T\,\,\,\,\,\,or\,\,\,\,\frac{\Delta V}{V\Delta T}=\frac{1}{T}\]


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