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Consider the D−T Reaction (Deuterium−Tritium Fusion) Calculate the Energy Released in Mev in this Reaction from the Data: - CBSE (Science) Class 12 - Physics

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Question

Consider the D−T reaction (deuterium−tritium fusion)

 `""_1^2H + ""_1^3H -> ""_2^4He + n`

Calculate the energy released in MeV in this reaction from the data:

`m(""_1^2H)`= 2.014102 u

`m(""_1^3H)`= 3.016049 u

Solution

Take the D-T nuclear reaction:  `""_1^2H + ""_1^3H -> ""_2^4He + n`

It is given that:

Mass of `""_1^2H` m1= 2.014102 u

Mass of `""_1^3H` m= 3.016049 u

Mass of `""_2^4He` m= 4.002603 u

Mass of `""_0^1n` m= 1.008665 u

Q-value of the given D-T reaction is:

Q = [mm2− m3 − m4c2

= [2.014102 + 3.016049 − 4.002603 − 1.008665] c2

= [0.018883 c2] u

But 1 u = 931.5 MeV/c2

Q = 0.018883 × 931.5 = 17.59 MeV

  Is there an error in this question or solution?

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Solution Consider the D−T Reaction (Deuterium−Tritium Fusion) Calculate the Energy Released in Mev in this Reaction from the Data: Concept: Radioactivity - Beta Decay.
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