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

  • question_answer
    Two liquids A and B are at 32°C and 24°C. When mixed in equal masses the temperature of the mixture is found to be 28°C. Their specific heats are in the ratio of       [DPMT 1996]

    A)            3 : 2                                          

    B)            2 : 3

    C)            1 : 1                                          

    D)            4 : 3

    Correct Answer: C

    Solution :

                       Temperature of mixture \[{{\theta }_{mix}}=\frac{{{\theta }_{A}}{{c}_{A}}+{{\theta }_{B}}{{c}_{B}}}{{{c}_{A}}+{{c}_{B}}}\]                    Þ \[28=\frac{32\times {{c}_{A}}+24\times {{c}_{B}}}{{{c}_{A}}+{{c}_{B}}}\]            Þ \[28\,{{c}_{A}}+28{{c}_{B}}=32\,{{c}_{A}}+24\,{{c}_{B}}\] Þ \[\frac{{{c}_{A}}}{{{c}_{B}}}=\frac{1}{1}\]


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