JEE Main & Advanced Chemistry Thermodynamics / रासायनिक उष्मागतिकी Question Bank First law of thermodynamics and Hess law

  • question_answer
    Work done during isothermal expansion of one mole of an ideal gas from 10 atom. to 1 atm at 300K is    [BHU 2004]

    A)                 4938.8 J

    B)                 4138.8 J

    C)                 5744.1 J

    D)                 6257.2 J

    Correct Answer: C

    Solution :

               Given that                    \[{{P}_{1}}=10\,atm\], \[{{P}_{2}}=1\,atm\], \[T=300K\], \[n=1\]                    \[R=8.314\,J/K/\,mol\]                    Now, by using                    \[W=2.303\,nRT\,\,{{\log }_{10}}\frac{{{P}_{2}}}{{{P}_{1}}}\]                    \[=2.303\times 1\times 8.314\times 300\,\,{{\log }_{10}}\frac{1}{10}\]                                 \[W=5744.1\,Joule\]


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