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

  • question_answer
    A liquid of mass m and specific heat c is heated to a temperature 2T. Another liquid of mass m/2 and specific heat 2c is heated to a temperature T. If these two liquids are mixed, the resulting temperature of the mixture is [EAMCET 1992]

    A)            (2/3)T                                      

    B)            (8/5)T

    C)            (3/5)T                                      

    D)            (3/2)T

    Correct Answer: D

    Solution :

                       Temperature of mixture            \[{{\theta }_{mix}}=\frac{{{m}_{1}}{{c}_{1}}{{\theta }_{1}}+{{m}_{2}}{{c}_{2}}{{\theta }_{2}}}{{{m}_{1}}{{c}_{1}}+{{m}_{2}}{{c}_{2}}}=\frac{m\times c\times 2T+\frac{m}{2}(2c)T}{m.c+\frac{m}{2}(2c)}=\frac{3}{2}T\]


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