RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    In an isothermal reversible expansion, if the volume of 96 g of oxygen at\[27{}^\circ C\]is increased from 70 litre to 140 litre, then the work done by the gas will be

    A)  \[300\text{ }R\text{ }lo{{g}_{10}}2\]    

    B)  \[81\text{ }R\text{ }lo{{g}_{e}}2\]

    C)  \[900\text{ }R\text{ }lo{{g}_{10}}2\]     

    D)  \[2.3\times 900\text{ }R\text{ }lo{{g}_{10}}2\]

    Correct Answer: D

    Solution :

     Work, \[W=nRT\times 2.3\times {{\log }_{10}}\frac{140}{70}\] \[=2.3\times \frac{96}{32}\times R\times 300\times \lg {{o}_{10}}2\] \[=2.3\times 900R{{\log }_{10}}2\]


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