for part of this question it asks you to use the mass defect tocalculate the ene

Question

for part of this question it asks you to use the mass defect tocalculate the enegy released in joules for each of the givendecays. There are 2 equations with the decay mass given: 1)Sr-90 (89.907738amu)   2) Y-90 (89.907152). I usedthe equation E=MC2 to try and solve it but Ikeep getting the wrong answer. I understand that in order tocalculate M you must first calculate the final mass usuingthe neutrons times (1.008665) and protons times (1.007825) then addthem together and subtract that answer from the given mass inamu. Once you plug everything into the equation your answeris in amu m2/s2 then you must convertit to J. Please tell me what I did wrong to give me theanswer of 1) -1.2556 X10-10J Sr-90 2)-1.2589X10-10J

Explanation / Answer

1) Sr has 38 protons and 52 neutrons m = 89.907738 - 38*1.007825 + 1.008665*(52) = -0.840192amu -0.840192 amu *(1 g / 6.022e23 amu)*(1kg/1000g) = -1.39520425e-27kg E = (-1.39520425e-27 kg)*(3 e8 m/s)^2 = -1.25568382e-10 kg*m^2/s^2~ -1.2556 x 10^-10 J 2) Y has 39 protons m = 89.907152 - 39*1.007825 + 1.008665*(52) = -0.839938amu E = (-0.839938 amu *(1e-3 kg/6.022e23 amu)) *(3e8 m/s)^2 = -1.25530422e-10 J ~ -1.255 x 10-10 J

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