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

  • question_answer
    How many grams of a liquid of specific heat 0.2 at a temperature 40°C must be mixed with 100 gm of a liquid of specific heat of 0.5 at a temperature 20°C, so that the final temperature of the mixture becomes 32°C   [Pb. PET 1999]

    A)            175 gm                                   

    B)            300 g

    C)            295 gm                                   

    D)            375 g

    Correct Answer: D

    Solution :

                       Temperature of mixture \[\theta =\frac{{{m}_{1}}{{c}_{1}}{{\theta }_{1}}+{{m}_{2}}{{c}_{2}}{{\theta }_{2}}}{{{m}_{1}}{{c}_{1}}+{{m}_{2}}{{\theta }_{2}}}\] Þ \[32=\frac{{{m}_{1}}\times 0.2\times 40+100\times 0.5\times 20}{{{m}_{1}}\times 0.2+100\times 0.5}\]Þ \[{{m}_{1}}=375\,gm\]


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