JEE Main & Advanced Chemistry States of Matter Question Bank Ideal gas equation and Related gas laws

  • question_answer Equation of Boyle's law is             [DPMT 2005]

    A)                 \[\frac{dP}{p}=-\frac{dV}{V}\]  

    B)                 \[\frac{dP}{P}=+\frac{dV}{V}\]

    C)                 \[\frac{{{d}^{2}}P}{P}=-\frac{dV}{dT}\] 

    D)                 \[\frac{{{d}^{2}}P}{P}=+\frac{{{d}^{2}}V}{dT}\]

    Correct Answer: A

    Solution :

               Boyle's law \[-PV\]= constant                    On differentiating the equation,                    \[d(PV)=d(C)\] Þ \[PdV+VdP=0\]                                 Þ \[VdP=-PdV\]Þ \[\frac{dP}{P}=-\frac{dV}{V}\].

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