Convert the atomic mass of an atom (222.017571u) to units of MeV/e^2 A) 1.88 tim

Question

Convert the atomic mass of an atom (222.017571u) to units of MeV/e^2 A) 1.88 times 10^4 Me^V/c^2 B) 2.7 times 10^4 MeV/c^2 C) 7.37 times 10^3 MeV/c^2 D) 9.21 times 10^5 MeV/c^2 E) None Determine the value for A and Z in the following nuclear reaction:^A_Z X +^4_2 He rightarrow^24_12Mg +^1_0 n A) A = 21, Z = 12 B) A= 21, Z = 10 C) A = 22, Z = 12 D) A = 24, Z = 10 E) None The atomic mass of helium is 4.002 602 u. Convert this mass to kilogram. A) 1.49 times 10^-25 kg B) 9.21 times 10^-27 kg C) 7.37 times 10^-30 kg D) 2.7 times 10^-26 kg E) 3.29 times 10^-25 kg Calculate the energy for the nuclei^234_90 Th with mass of 234.04383u. a) 2.18 times 10^4 MeV b) 2.18 MeV c) 2.18 J d) 218, 011.85 J e) None Calculate the number neutrons for^234_90Th nucleus. a) 140 b) 132 c) 144 d) 114 e) None

Explanation / Answer

First we have to convert the mass from amu to kg, so-

(1 amu = 1.6606 x 10-27 kg)

Then- 234.04383 amu = 388.65 x 10-27 kg

Now

E = mc2, where c = 3 x 108 m/s.

E = 388.65 x 10-27 ( 3 x 108 )2

E = 3497.89 x 10-11J = 2.183* 104 MeV

Thank you !!! Have fun

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