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In nuclear reaction, blank subscript 3 end subscript superscript 7 end superscript L i plus blank subscript 1 end subscript superscript 1 end superscript H rightwards arrow 2 blank subscript 2 end subscript superscript 4 end superscript H e The mass loss is nearly 0.02 amu. Hence, the energy released (in units of million kcal/mol) in the process is approximately

  1. 430    
  2. 220    
  3. 120    
  4. 50    

The correct answer is: 430


    Mass defect equals 0.02 blank a m u
    equals fraction numerator 0.02 over denominator N subscript 0 end subscript end fraction g blank a t o m to the power of negative 1 end exponent equals fraction numerator 0.02 over denominator N subscript 0 end subscript end fraction cross times N subscript 0 end subscript blank g blank m o l to the power of negative 1 end exponent
    equals 0.02 blank g blank m o l to the power of negative 1 end exponent
    E equals m c to the power of 2 end exponent equals 0.02 cross times 9 cross times 10 to the power of 20 end exponent e r g blank m o l to the power of negative 1 end exponent
    equals fraction numerator 0.02 cross times 9 cross times 10 to the power of 20 end exponent cross times 0.002 over denominator 8.314 cross times 10 to the power of 7 end exponent cross times 10 to the power of 6 end exponent end fraction m i l l i o n blank k c a l blank m o l to the power of negative 1 end exponent
    almost equal to 430 blank open parentheses fraction numerator 1 blank m i l l i o n equals 10 to the power of 6 end exponent over denominator 8.314 cross times 10 to the power of 7 end exponent e r g equals 0.002 blank k c a l end fraction close parentheses

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