Neon-20 has a nuclear mass of 19.992439 amu. the total nuclear binding energy for Ne-20 is?
(Mprotons=1.6726x10^-27 kg) (Mneutron=1.6749x10^-27kg)
1 amu = 1.6605•10⁻²⁷ kg
19.992439 amu = 3.3197•10⁻²⁶ kg
m=10 m(p) +10 m(n) =
=10• (1.6726+1.6749) •10⁻²⁷ =
=3.3475•10⁻²⁶ kg
Δm=(3.3475-3.3197) •10⁻²⁶=
=0.027810⁻²⁶=2.78•10⁻²⁸ kg
E= Δm•c² =2.78•10⁻²⁸•(3•10⁸)² =2.502•10⁻¹¹ J.
To calculate the total nuclear binding energy for Ne-20, we need to use the Einstein's mass-energy equivalence equation, E = mc^2, where E is the energy, m is the mass, and c is the speed of light in a vacuum (approximately 3.00 x 10^8 m/s).
First, we need to calculate the total mass of Ne-20. Ne-20 has 10 protons and 10 neutrons, so we can calculate the total mass as follows:
Mass of protons = 10 protons * Mprotons = 10 * 1.6726x10^-27 kg
Mass of neutrons = 10 neutrons * Mneutrons = 10 * 1.6749x10^-27 kg
Total mass of Ne-20 = Mass of protons + Mass of neutrons
Next, we convert the total mass from kilograms to atomic mass units (amu). We know that 1 amu is equal to 1.66054x10^-27 kg.
Total mass of Ne-20 in amu = Total mass of Ne-20 / (1.66054x10^-27 kg/amu)
Once we have the total mass of Ne-20 in amu, we can calculate the total nuclear binding energy using the mass-energy equivalence equation. Keep in mind that the calculated mass must be in kilograms for this calculation.
Total nuclear binding energy = Total mass of Ne-20 * (3.00 x 10^8 m/s)^2
By plugging in the appropriate values, we can determine the total nuclear binding energy for Ne-20.