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KVPY Sample Paper KVPY Stream-SX Model Paper-31

  • question_answer
    10 mole of ideal gas expand isothermally and reversibly from a pressure of 10 atm to 1 atm at 300 K. What is the largest mass which can lifted through a height of 100 meter?

    A) 31842 kg

    B) 58.55 kg

    C) 342.58 kg

    D) None of these

    Correct Answer: B

    Solution :

    \[w=-nRT\,\,In\frac{{{P}_{1}}}{{{P}_{2}}}\]
    \[=-\,10\,\,\times \,\,8.314\,\,\times \,\,300\,\,In\frac{10}{1}\]
    \[=-\,57441.42\,J\]
    \[w=-\,mgh\]
    \[\therefore m\,\,\times \,\,9.81\,\,\times \,\,100=57441.42\]
             \[m=58.55\,kg\]


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