JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Critical Thinking

  • question_answer
    A glass flask of volume one litre at 0°C is filled, level full of mercury at this temperature. The flask and mercury are now heated to 100°C. How much mercury will spill out, if coefficient of volume expansion of mercury is \[1.82\times {{10}^{-4}}/{}^\circ C\] and linear expansion of glass is\[0.1\times {{10}^{-4}}/{}^\circ C\] respectively    [MNR 1994]

    A)            21.2 cc                                     

    B)            15.2 cc

    C)            1.52 cc                                     

    D)            2.12 cc

    Correct Answer: B

    Solution :

                       Due to volume expansion of both liquid and vessel, the change in volume of liquid relative to container is given by DV = \[{{V}_{0}}[{{\gamma }_{L}}-{{\gamma }_{g}}]\Delta \theta \] Given V0 = 1000 cc, ag = 0.1×10?4/°C     \\[{{\gamma }_{g}}=3{{\alpha }_{g}}=3\times 0.1\times {{10}^{-4}}/{}^\circ C=0.3\times {{10}^{-4}}/{}^\circ C\] \ DV = 1000 [1.82 × 10?4 ? 0.3 × 10?4] × 100  = 15.2 cc


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