SUMMARY
The rest mass energy of one mole of neutrons is calculated using the formula E=mc², where m is the total mass of the neutrons. Given that one mole contains 6.02 x 10²³ neutrons, and each neutron has a mass of 1.675 x 10⁻²⁷ kg, the total mass for one mole is 1.675 x 10⁻²⁷ kg multiplied by 6.02 x 10²³, resulting in a total mass of approximately 1.007 x 10⁻³ kg. Plugging this value into the equation E=mc² yields a rest mass energy of approximately 9.075 x 10¹⁶ joules.
PREREQUISITES
- Understanding of Avogadro's number (6.02 x 10²³)
- Knowledge of the mass of a neutron (1.675 x 10⁻²⁷ kg)
- Familiarity with the equation E=mc²
- Basic arithmetic operations for multiplication and unit conversion
NEXT STEPS
- Study the implications of mass-energy equivalence in nuclear physics
- Learn about the properties of neutrons and their role in atomic structure
- Explore advanced calculations involving energy conversions in particle physics
- Investigate the significance of Avogadro's number in chemical reactions
USEFUL FOR
Students in physics, particularly those studying nuclear physics, chemistry students learning about moles and mass, and educators looking for practical examples of mass-energy calculations.