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KVPY Sample Paper KVPY Stream-SX Model Paper-8

  • question_answer
    An ideal gas undergoes isothermal compression from \[5{{m}^{3}}\] to \[1{{m}^{3}}\] against a constant external pressure of \[4N{{M}^{-2}}.\] Heat released in this process is used to increase the temperature of 1 mole of Al. If molar heat capacity of Al is \[24Jmo{{l}^{-1}}{{K}^{-1}},\] the temperature of Al is increases by:

    A) \[\frac{3}{2}K\]                        

    B) \[2K\]

    C)  \[\frac{2}{3}K\]           

    D) \[1K\]

    Correct Answer: C

    Solution :

    • \[q=P\Delta V\]
    • \[q=16\]
    • \[{{C}_{p}}=24\]
    • \[{{C}_{p}}=\frac{qP}{\Delta T}\]
    • \[\Delta T=\frac{16}{24}K=\frac{2}{3}K\]


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