RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    540 g of ice of \[0{}^\circ C\] is mixed with 540 g of water at \[80{}^\circ C\]. The final temperature of the mixture is

    A) \[0{}^\circ C\]                                   

    B) \[40{}^\circ C\]

    C) \[80{}^\circ C\]                 

    D)         less than \[0{}^\circ C\]

    Correct Answer: A

    Solution :

    Heat taken by ice to melt at \[{{0}^{o}}C\] is                 \[{{Q}_{1}}=mL=540\times 80=43200\,\,cal\] Heat given by water to cool upto \[{{0}^{o}}C\] is                 \[{{Q}_{2}}=m\times s\times \Delta \theta \]                       \[=540\times 1\times (80-0)\]                       \[=43200\,\,cal\] Heat given by water = Heat absorbed by ice \[\therefore \]Three will be no change in the temperature of mixture. Hence, the temperature of mixture will be\[{{0}^{o}}C\].


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