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JCECE Medical JCECE Medical Solved Paper-2005

  • question_answer
    An air bubble is released from the bottom of a  pond and is found to expand to thrice its original volume as it reached the surface. If the atmospheric pressure is \[\text{100}\,\text{kpa,}\] the absolute pressure at the bottom of lake in\[\text{kpa}\]  is ... (assume no temperature variation):

    A)  33.3           

    B)  50.0

    C)  100.0         

    D)  300.0

    Correct Answer: D

    Solution :

     Key Idea: In an isothermal change temperature remains constant. For isothermal change \[PV=RT=\text{constant}\] where, \[P=h\rho g=\text{height}\,\text{ }\!\!\times\!\!\text{ }\,\text{density}\,\text{ }\!\!\times\!\!\text{ }\,\text{gravity}\] \[\therefore \] \[{{P}_{1}}{{V}_{1}}={{P}_{2}}{{V}_{2}}\] Given, \[{{V}_{2}}=3{{V}_{1}},{{P}_{2}}=100\,kPa=100\times {{10}^{3}}Pa\] \[\therefore \]\[{{P}_{1}}=\frac{{{P}_{2}}{{V}_{2}}}{{{V}_{1}}}=\frac{100\times {{10}^{3}}\times 3{{V}_{1}}}{{{V}_{1}}}=300\,kPa\]


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