AMU Medical AMU Solved Paper-2010

  • question_answer
    A cylinder of fixed capacity (of 44.8 L) contains 2 moles of helium gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \[{{20}^{o}}C?(Use\,R=8.31\,Jmo{{l}^{-1}}{{K}^{-1}})\]

    A)  996 J                                    

    B)  831 J

    C)  498 J                                    

    D)  374 J

    Correct Answer: C

    Solution :

                     Since, the volume of cylinder is fixed and helium is a monoatomic gas. The internal energy \[=\mu {{C}_{V}}\Delta T\]                 \[U=\frac{1}{2}f\mu R\Delta T\]                \[\left[ \therefore {{C}_{V}}=\frac{1}{2}f\,R \right]\]                      \[U=\frac{1}{2}\times 3\times 2\times 8.31\times 20\]                 = 498.6 J


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