JEE Main & Advanced Sample Paper JEE Main Sample Paper-13

  • question_answer
    Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure.  Choose the correct alternative.                                   

    A)   \[{{V}_{1}}={{V}_{2}}={{V}_{3}}={{V}_{4}}\]

    B)  \[{{V}_{4}}>{{V}_{3}}>{{V}_{2}}>{{V}_{1}}\]

    C)  \[{{V}_{1}}={{V}_{2}},\,\,{{V}_{3}}={{V}_{4}}\] and \[{{V}_{2}}>{{V}_{3}}\]

    D)  \[{{V}_{1}}={{V}_{2}},\,\,{{V}_{3}}={{V}_{4}}\] and \[{{V}_{2}}<{{V}_{3}}\]

    Correct Answer: C

    Solution :

     Straight line curve of p vs T shows that \[cI-m+an=0\] and , i.e., volume is constant. Moreover, higher the T and lesser the p, higher the value of V. Thus \[\frac{I}{ac+b}=\frac{m}{bc+a}=\frac{n}{1-{{c}^{2}}}\]  or\[\frac{x}{ac+b}=\frac{y}{bc+a}=\frac{z}{1-{{c}^{2}}}\]


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