JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Self Evaluation Test - Thermal Properties of Matter

  • question_answer
    In an energy recycling process, \[100\text{ }g\] of steam at \[100{}^\circ C\]becomes water at \[100{}^\circ C\] which converts y g of ice at \[0{}^\circ C\] into water at \[100{}^\circ C\]. The numeric value of y is

    A) 100 

    B) 200  

    C) 300

    D) 400

    Correct Answer: C

    Solution :

    [c] Specific heat of water = 4200 J/kg-K Latent heat of fusion \[=3.36\times 1{{0}^{5}} J/kg\] Latent heat of vapourisation \[=22.68\times l{{0}^{5}} J/kg\]   \[\operatorname{x}\times 1{{0}^{-3}}\times 22.68\times {{10}^{5}}J\]  \[=y\times 1{{0}^{-3}}\times 3.36\times 1{{0}^{5}} J+y\times 1{{0}^{-3}}\times 4200\times 100\]\[\therefore \frac{x}{y}=\frac{7.56}{22.68}=\frac{1}{3}\]


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