KVPY Sample Paper KVPY Stream-SX Model Paper-12

  • question_answer
    A thermally insulated vessel contains 150 g of water \[0{}^\circ C.\] Then the air from the vessel is pumped out adiabatically. A fraction of water turns into ice and the rest evaporates at \[0{}^\circ C.\] itself. The mass of evaporated will be closest to: (Latent heat of vaporization of water \[=\,2.10\times {{10}^{6}}Jk{{g}^{-1}}\] and Latent heat of fusion of water \[=3.36\times {{10}^{5}}jk{{g}^{-\,1}})\]

    A) 130 g

    B) 35 g

    C) 150 g

    D) 20 g

    Correct Answer: D

    Solution :

    \[m\,(2.10\times {{10}^{6}})=(150-m)(3.36\times {{10}^{5}})\] \[\frac{21m}{3.36}+m=150\] \[\Rightarrow \]   \[m=\frac{3.36\times 150}{24.36}=20g.\]


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