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An atom of 110Sn has a mass of 109.907858 amu. Calculate the mass defect in amu/atom. Enter your answer with 4 significant figures and no units.

Use the masses: mass of 1H atom = 1.007825 amu

mass of a neutron = 1.008665 amu

1 amu = 931.5 MeV

The correct answer is 1.003

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An atom of 110Sn has a mass of 109.907858 amu. the mass defect in amu/atom - 1.0032.

Given:

mass = 109.907858 amu

mass of a neutron = 1.008665 amu  

1 amu = 931.5 MeV

solution:

  • The formula used to find the number of neutrons:

[tex]n_n = A-n_p[/tex]

here [tex]n_n[/tex] is the number of neutrons

[tex]n_n = 110 -50[/tex]

= 60

  • calculate the total mass of protons and neutrons:

[tex]m = n_F \times m_F + n_n \times m_n[/tex]

here, m = total mass of neutrons and protons

[tex]m = 50 \times 1.007825 + 60 \times 1.008665[/tex]

= 110.91115 amu

  • the mass defect can be calculated by:

[tex]\delta m = m - M[/tex]

= 110.91115 - 109.907858

= 1.003292 amu

Thus, An atom of 110Sn has a mass of 109.907858 amu. the mass defect in amu/atom - 1.0032.

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