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NEET Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Mock Test - Thermal Properties of Matter

  • question_answer
    A vessel contains \[M\] grams of water at a certain temperature and water at   certain other temperature is passed into it at a. constant. Rate of\[mg/s\]. The variation - of temperature of the & mixture with time is shown in figure. The values of \[m\]  and ware, respectively (the heat exchanged after a long Time (sec) time is 800 cal)

    A) 40 and 2           

    B) 40 and 4

    C) 20 and 4                      

    D) 20 and 2

    Correct Answer: B

    Solution :

    [b] Evidently the initial temperature of the water contained in the vessel (Mg) is\[80{}^\circ C\], and the temperature of the water passed into it is\[60{}^\circ C\], as the final temperature of the mixture tends to attain a value of \[60{}^\circ C\]. \[M\times 1(80-70)=m\times 10\times 1(70-60)\] or, \[M/m=10\] Since the heat exchanged after a long time is 800 cal. \[(Mg)(1cal/m{}^\circ C)(80-60{}^\circ C)=80cal\] Or, \[M=40g\text{ }\therefore \,\,\,\,m=4g\]


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