55
12. (a) For Mn the mass density is
M 0.055 kg/mol
Ám = = =2.3 × 1017 kg/m3 ,
V (4Ä„/3)[(1.2 × 10-15 m)(55)1/3]3(6.02 × 1023/mol)
209
and for Bi
M 0.209 kg/mol
Ám = = =2.3 × 1017 kg/m3 .
V (4Ä„/3)[(1.2 × 10-15 m)(209)1/3]3(6.02 × 1023/mol)
55
(b) For Mn the charge density is
Ze (25)(1.6 × 10-19 C)
Áq = = =1.0 × 1025 C/m3 ,
V (4Ä„/3)[(1.2 × 10-15 m)(55)1/3]3
209
and for Bi
Ze (83)(1.6 × 10-19 C)
Áq = = =8.8 × 1024 C/m3 .
V (4Ä„/3)[(1.2 × 10-15 m)(209)1/3]3
(c) Since V " r3 = (r0A1/3)3 " A, we expect Ám " A/V " A/A H" const. for all nuclides, while
Áq " Z/V " Z/A should gradually decrease since A>2Z for large nuclides.

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