Estimate the total binding energy for copper.
550 MeV
Estimate the energy, in joules, needed to break a 3.0g copper penny into its constituent nucleons.
E= in Joules
Please help me out I got 1st part I need the Energy in joules am confused please help me out...thanks
Number of atoms is
N= N(A)•m/μ =
=6.022•10²³•0.003/63.5•10⁻³=2.85•10²².
Number of nucleons (protons+neutrons) =
=2.85•10²²•63=1.8•10²⁴.
Energy = 1.8•10²⁴•550•10⁶•1.6•10⁻¹⁹ =1.58•10⁸ J
To estimate the energy needed to break a 3.0g copper penny into its constituent nucleons, you need to calculate the energy per nucleon and then multiply it by the total number of nucleons in the penny.
1. Calculate the energy per nucleon:
The total binding energy for copper is given as 550 MeV. To convert this to joules, use the conversion factor: 1 MeV = 1.602 x 10^-13 J.
Therefore, the energy per nucleon can be calculated as follows:
Energy per nucleon = (550 MeV) x (1.602 x 10^-13 J/1 MeV)
2. Determine the number of nucleons in the copper penny:
Copper has an atomic mass of approximately 63.55 g/mol. To convert this into moles, divide the mass of the penny (3.0g) by the molar mass of copper (63.55 g/mol). Then multiply it by Avogadro's number (6.022 x 10^23 nucleons/mol) to get the number of nucleons.
Number of nucleons = (3.0g / 63.55 g/mol) x (6.022 x 10^23 nucleons/mol)
3. Calculate the total energy:
Multiply the energy per nucleon by the number of nucleons to get the total energy required to break the copper penny into its constituent nucleons.
Total energy = Energy per nucleon x Number of nucleons
Plug in the calculated values into the equation, and you will get the energy in joules.