how big would the explosion be? in scale of tons of tnt
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Not very big. The energy released will be just 9.3*10^8 eV. This is equivalent to 1.4*10^-10 Joules, or around 0.04 picograms of TNT
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I arrive at essentially the same result by a slightly different route.
m = 1 amu = 1 g/N0 ≈ 1.66*10^-27 kg
E = mc^2 = 1.66*10^-27 kg * 0.899*10^17 (m/s)^2
= 1.49*10^-10 J
1 t(TNT) ~ 4.184*10^9 J [adopted value]
E = 1.49*10^-10 J * t(TNT) / 4.184*10^9 J
= 3.56*10^-20 t(TNT)
= 0.0356 pg(TNT)
m = 1 amu = 1 g/N0 ≈ 1.66*10^-27 kg
E = mc^2 = 1.66*10^-27 kg * 0.899*10^17 (m/s)^2
= 1.49*10^-10 J
1 t(TNT) ~ 4.184*10^9 J [adopted value]
E = 1.49*10^-10 J * t(TNT) / 4.184*10^9 J
= 3.56*10^-20 t(TNT)
= 0.0356 pg(TNT)
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Or using
1 t(TNT) ~ 4.686*10^9 J [measured value]
E = 3.18*10^-20 t(TNT) = 0.0318 pg(TNT)
1 t(TNT) ~ 4.686*10^9 J [measured value]
E = 3.18*10^-20 t(TNT) = 0.0318 pg(TNT)
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