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Calculate the density of a helium nucleus (4He)
Hinweis: Assumptions are as follows:
— the helium nucleus claims a spherical volume
— mass of proton = mass of neutron = 1 u
Solution: Various steps are needed:
- Density = m/V = m/(4/3·pi·r3)
- The mass of the nucleus: per 2 protons and 2 neutrons, about 4 u, 1 u = 1.66·10-27kg, thus 6.64·10-27kg
- [translation unavailable] of the helium nuclei: r = 1.2·10-15·4(1/3) = 1.9049·10-15 m
- V = 4/3·pi·r3) = 2.895·10-44 m3
- Density = m/V = 2.293·1017 kg/m3 ([translation unavailable]. Water: 1000 kg/m3)
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