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

  • question_answer
    A constant pressure air thermometer gave a reading of 47.5 units of volume when immersed in ice cold water, and 67 units in a boiling liquids. The boiling point of the liquid will be                                                      [AIIMS 1994]

    A)            135°C                                       

    B)            125°C

    C)            112°C                                       

    D)            100°C

    Correct Answer: C

    Solution :

                       Initial volume \[{{V}_{1}}=47.5\] units                    Temperature of ice cold water \[{{T}_{1}}=0{}^\circ C=273\,K\]                    Final volume of \[{{V}_{2}}=67\] units                    Applying Charle?s law, we have \[\frac{{{V}_{1}}}{{{T}_{1}}}=\frac{{{V}_{2}}}{{{T}_{2}}}\]                    (where temperature \[{{T}_{2}}\] is the boiling point)                    or \[{{T}_{2}}=\frac{{{V}_{2}}}{{{V}_{1}}}\times {{T}_{1}}=\frac{67\times 273}{47.5}=385\,K=112{}^\circ C\]


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