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

  • question_answer
    10 gm of ice at ? 20°C is dropped into a calorimeter containing 10 gm of water at 10°C; the specific heat of water is twice that of ice. When equilibrium is reached, the calorimeter will contain

    A)            20 gm of water

    B)            20 gm of ice

    C)            10 gm ice and 10 gm water

    D)            5 gm ice and 15 gm water

    Correct Answer: C

    Solution :

                       Heat given by water \[{{Q}_{1}}=10\times 10=100\,cal.\] Heat taken by ice to melt Q2 = 10 ´ 0.5 ´ [0 ? (? 20)] + 10 ´ 80 = 900 cal As \[{{Q}_{1}}<{{Q}_{2}},\] so ice will not completely melt and final temperature = 0°C. As heat given by water in cooling up to 0°C is only just sufficient to increase the temperature of ice from ? 20°C to 0°C, hence mixture in equilibrium will consist of 10 gm ice and 10 gm water at 0°C.


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