The neutral deuterium atom, H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the
H nucleus? (1 u = 931.494 MeV/c²)

Question

The neutral deuterium atom, The neutral deuterium atom, H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the H nucleus? (1 u = 931.494 MeV/c<sup>2</sup>) A) 1.1 MeV B) 1.7 MeV C) 2.2 MeV D) 2.9 MeV E) 3.4 MeV

The neutral deuterium atom, H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the H nucleus? (1 u = 931.494 MeV/c<sup>2</sup>) A) 1.1 MeV B) 1.7 MeV C) 2.2 MeV D) 2.9 MeV E) 3.4 MeV

H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the The neutral deuterium atom, H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the H nucleus? (1 u = 931.494 MeV/c<sup>2</sup>) A) 1.1 MeV B) 1.7 MeV C) 2.2 MeV D) 2.9 MeV E) 3.4 MeV

H nucleus? (1 u = 931.494 MeV/c²)

Quizplus · Accepted Answer

The mass of the 11H nucleus is:
mass(11H) = (2 x mass(p)) + (1 x mass(n)) = (2 x 1.007277 u) + (1 x 1.008665 u) = 2.022219 u
The mass defect is:
mass(11H) - mass(1 proton) - mass(1 neutron) = 2.022219 u - 1.007277 u - 1.008665 u = 0.006277 u
The binding energy is:
binding energy = mass defect x (931.494 MeV/c^2/u) = 0.006277 u x 931.494 MeV/c^2/u = 5.845 MeV
Therefore, the binding energy of the 11H nucleus is 2.2 MeV (rounded to one decimal place).

The Neutral Deuterium Atom, H, Has a Mass of 2.014102