An element X is written as:
where A is the nucleon number and Z is the atomic number.
It has been found that the radii of most nuclei are well approximated by the equation R=R0A1/3, where R0=1.2x10-15 m is an experimentally determined constant. Because the mass of a nucleon (a proton or a neutron) is close to one atomic mass unit (1u), the nucleon number A is sometimes called the mass number.
What is the approximate radius R of 20882Pb?
Express your answer in meters to two significant figures.
R = ____ m
Assuming that each nucleus is roughly spherical and that its mass is roughly equal to A (in atomic mass units u), what is the density ρ of a nucleus with nucleon number A?
Express your answer in terms of A, R0, and π.
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