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NEET Chemistry Thermodynamics / रासायनिक उष्मागतिकी Question Bank Self Evaluation Test - Thermodynamics

  • question_answer
    Fixed mass of an ideal gas contained in a 24.63 L sealed rigid vessel at 1 atm is heated from -\[73{}^\circ C\] to\[27{}^\circ C\]. Calculate change in gibb's energy if entropy of gas is a function of temperature as \[S=2+{{10}^{-2}}T\text{ }\left( J/K \right):\](Use 1 atm\[L=0.1\text{ }kJ\])

    A) 1231.5 J           

    B) 1281.5 J

    C) 781.5J                          

    D) 0

    Correct Answer: C

    Solution :

    [c] At constant volume, \[\frac{{{P}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}}{{{T}_{2}}}\] \[\Rightarrow {{P}_{2}}=1\times \frac{300}{200}=\frac{3}{2}\] and \[{{V}_{1}}=24.63\text{ }L\] for single phase \[\therefore dG=Vdp-SdT\] \[\Delta G=V\Delta P\int{\left( 2+{{10}^{-2}}T \right)}dt\] \[=1231.5-200-\left( \frac{{{10}^{-2}}\times 50,000}{2} \right)\] \[=781.5\text{ }J\]


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