JCECE Medical JCECE Medical Solved Paper-2006

  • question_answer
    A gas is at\[\text{2}{{\text{7}}^{\text{o}}}\text{C}\text{.}\] Its volume is doubled keeping pressure constant, then final temperature is:

    A) \[600{{\,}^{o}}C\]        

    B)  327 K

    C) \[327{{\,}^{o}}C\]       

    D) \[~273{{\,}^{o}}C\]

    Correct Answer: C

    Solution :

     Key Idea: Since pressure is constant, gas obeys Charles law. From Charles law          \[\frac{V}{T}=\text{constant}\] where V is volume, T the temperature. \[\therefore \] \[\frac{{{V}_{2}}}{{{V}_{1}}}=\frac{{{T}_{2}}}{{{T}_{1}}}\] Given \[{{T}_{1}}=27{{\,}^{o}}C=300,\,{{V}_{2}}=2{{V}_{1}}\,\] \[\therefore \] \[2\times 300={{T}_{2}}\] \[\Rightarrow \] \[{{T}_{2}}=600\,K\] In centigrade \[{{T}_{2}}=600-273=327{{\,}^{o}}C.\]


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