AMU Medical AMU Solved Paper-2008

  • question_answer
    A balloon contains 500 m3 of He at \[27{}^\circ C\] and 1 atmospheric pressure. The volume of He at- \[3{}^\circ C\] and 0.5 atmospheric pressure will be

    A)  \[\text{7}00{{\text{m}}^{\text{3}}}\]                                    

    B)  \[\text{9}00{{\text{m}}^{\text{3}}}\]

    C)  \[\text{1}000{{\text{m}}^{\text{3}}}\]                                 

    D)  \[\text{5}00\text{ }{{\text{m}}^{\text{3}}}\]

    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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