Answer:
1)There is 2.68 * 10^-11 J of energy needed
2) The nuclear binding energy for 1 mol of Ne is 1.6 *10^13 J/mol
Explanation:
Step 1: Data given
The nucleus of a21Ne atom has a amass of 20.98846 amu.
Step 2: Calculate number of protons and neutrons
The number of electrons and protons in an 21Ne atom = 10
The number of neutrons = 21 -10 =11
Step 3: mass of the atom
Mass of a proton = 1.00727647 u
Mass of a neutron = 1.0086649 u
The mass of the atom = mass of all neutrons + mass of protons
Mass of atom = 11*1.0086649 + 10*1.00727647 = 21.1680786 amu
Step 4: Calculate change of mass
The change in mass = Mass of atom - mass of neon
Δmass = 21.1680786 - 20.98846
Δmass = 0.1796186
Step 5: Calculate mass for a single nucleus
The change of mass for a single nucleus is = Δmass / number of avogadro
Δmass of nucleus = 0.1796186 / 6.022*10^23
Δmass of nucleus =2.98 * 10^-25 grams = 2.98 * 10^-28 kg
Step 6: Calculate energy to break a Ne nucleus
Calculate the amount of energy to break a Ne nucleus
ΔEnucleus = Δmass of nucleus * c²
⇒ with c = 2.9979 *10^8 m/s
ΔEnucleus = 2.98 * 10^-28 kg * (2.9979*10^8)² = 2.68 * 10^-11 J
What is the nuclear binding energy for 1 mol of Ne?
ΔE= ΔEnucleus * number of avogadro
ΔE= 2.68 * 10^-11 J * 6.022*10^23
ΔE= 1.6 *10^13 J/mol
