NEET Sample Paper NEET Sample Test Paper-50

  • question_answer 66) An ice cube at \[0.00{}^\circ C\] is placed in 200 g of distilled water at\[25{}^\circ C\]. The final temperature after the ice completely melted is\[5{}^\circ C\]. What is the mass of the ice cube? \[(\Delta {{H}_{fus}},=340\,{{g}^{-1}},\,\,{{C}_{p}}=4.18\,J\,\,{{g}^{-1}}\,{}^\circ \,{{C}^{-1}})\]

    A) 23.6g

    B)               36.3 g

    C) 50.0 g              

    D) 800g

    Correct Answer: C

    Solution :

    \[q\text{ }=\text{ }ms\text{ }\Delta T\] \[=\text{ }200\,\,\times \,\,4.18\,\,\times \,\,20=16720\text{ }Joule\] \[\because \,\,\,340\text{ }J\text{ }heat\text{ }taken\text{ }by\,\,=\,\,1\text{ }g\text{ }Ice\] \[\therefore \] 16720 J heat taken by \[=\frac{16720}{340}\,\,=\,\,49.17\,\,g\] \[=\text{ }50\,g\]

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