JEE Main & Advanced Sample Paper JEE Main Sample Paper-11

  • question_answer
    Gas in cylinder with light piston is slowly heated till all the mercury spils over. (\[{{\text{P}}_{\text{atm}}}\] 76cm of Hg column)
    Statement 1: The temperature of gas continuously increases.
    Statement 2: According to first law of thermodynamics dQ = dU + dW where symbols have their usual meaning.

    A)  Statement-1 is false, Statement-2 is true.

    B)  Statement-1 is true, Statement-2 is true and statement- 2 is correct explanation for statement-1

    C)  Statement-1 is true, Statement-2 is true and statement- 2 is NOT correct explanation for statement-1

    D)  Statement-1 is true, Statement-2 is false

    Correct Answer: A

    Solution :

     Initial condition Volume\[=76\,\,cm\times A\] Pressure = (76 + 76) dg = 152dg Final condition Volume \[=152\,cm\times A\] Pressure = 76dg \[\therefore \]\[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] \[\therefore \]Both points lie on the same isothermal line i.e. both have same T.


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