RAJASTHAN PMT Rajasthan - PMT Solved Paper-2006

  • question_answer
    At what temperature volume of an ideal gas at \[0{}^\circ C\] becomes triple?

    A) \[546{}^\circ C\]                              

    B)        \[182{}^\circ C\]

    C)        \[819{}^\circ C\]                              

    D)        \[646{}^\circ C\]

    Correct Answer: A

    Solution :

    We know that for ideal gas\[\frac{{{V}_{1}}}{{{T}_{1}}}=\frac{{{V}_{2}}}{{{T}_{2}}}\]                                                 (at constant pressure) \[\Rightarrow \]               \[{{T}_{2}}=\frac{{{V}_{2}}}{{{V}_{1}}}\times {{T}_{1}}=\frac{3V}{V}\times 273\]                     \[=3\times 273\,\,K\] \[\Rightarrow \]               \[{{T}_{2}}=819\,\,K=819-273\]                      \[={{546}^{o}}C\]


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