JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    An ideal gas at a pressures of 1 atmosphere and temperature of \[{{27}^{o}}C\] is compressed adiabatically until its pressure becomes 8 times the initial pressure, then the final temperature is (g = 3/2) [EAMCET (Engg.)2000]

    A)            \[{{627}^{o}}C\]                  

    B)            \[{{527}^{o}}C\]

    C)            \[{{427}^{o}}C\]                  

    D)            \[{{327}^{o}}C\]

    Correct Answer: D

    Solution :

               Using relation\[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{{{P}_{2}}}{{{P}_{1}}} \right)}^{\frac{\gamma -1}{\gamma }}}={{(8)}^{\frac{3/2-1}{3/2}}}=2\]. Þ \[{{T}_{2}}=2{{T}_{1}}\]Þ \[{{T}_{2}}=2\,(273+27)=600K=327{}^\circ C\]


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