Manipal Medical Manipal Medical Solved Paper-2013

  • question_answer
    Assuming that about 20 MeV of energy is released per fusion reaction, \[_{1}{{H}^{2}}{{+}_{1}}{{H}^{3}}{{\xrightarrow[{}]{{}}}_{0}}{{n}^{1}}{{+}_{2}}H{{e}^{4}}\] then the mass of\[_{1}{{H}^{1}}\]consumed per day in a fusion reactor of power 1 MW will approximately be

    A)  0.001 g 

    B)  0.1 g    

    C)  10.0g   

    D)  100g

    Correct Answer: D

    Solution :

     \[U=Pt\] \[={{10}^{6}}\times 24\times 36\times {{10}^{12}}\] \[=24\times 36\times {{10}^{8}}J\] Energy released per fusion reaction \[=20MeV\] \[=20\times {{10}^{6}}\times 1.6\times {{10}^{-19}}\] \[=32\times {{10}^{-13}}J\] Energy released per atom of\[_{1}{{H}^{2}}=32\times {{10}^{-13}}J\] Number of\[_{1}{{H}^{2}}\]atom of used \[=\frac{24\times 36\times {{10}^{8}}}{32\times {{10}^{-13}}}\] \[=27\times {{10}^{21}}\] Mass of\[6\times {{10}^{23}}\]atom\[=2g\] \[=\frac{2}{6\times {{10}^{23}}}\times 27\times {{10}^{21}}\] \[90\approx 100g\]


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