VMMC VMMC Medical Solved Paper-2008

  • question_answer
    A balloon contains \[500\,\,{{m}^{3}}\] of Heat \[27{}^\circ C\] and 1 atmospheric pressure. The volume of Heat \[-3{}^\circ C\] and 0.5 atmospheric pressure will be

    A)  \[700\,{{m}^{3}}\]

    B)                         \[900\,{{m}^{3}}\]         

    C)         \[1000\,{{m}^{3}}\]       

    D)         \[500\,{{m}^{3}}\]

    Correct Answer: B

    Solution :

    Using standard gas equation, \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\]                 or            \[{{V}_{2}}=\frac{{{P}_{1}}{{V}_{1}}{{T}_{2}}}{{{P}_{2}}{{T}_{1}}}\]                 \[\therefore \]  \[{{V}_{2}}=\frac{1\times 500\times (273-3)}{0.5\times (273+27)}\]                                 \[{{V}_{2}}=\frac{1\times 500\times 270}{0.5\times 300}\] \[{{V}_{2}}=900\,{{m}^{3}}\]


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