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Chapter 42: Q 4 Exercise (page 1236)

Calculate the mass, radius, and density of the nucleus of (a)Li7and(b)207Pb.

Give all answers in SI units.

Short Answer

Expert verified

Hence, the mass, radius and density is:

a.)m=9.988×10-27kg,r=2.18×10-15m,ÒÏ=2.3×1017kg/m3b.)m=3.437×10-25kg,r=7.1×10-15m,ÒÏ=2.3×1017kg/m3

Step by step solution

01

Given information

(a)Li7and(b)207Pb

mLi6=6.0135umPb207=206.9309uro=1.2fm→1.2×10-15m

02

Explanation

a.) We have to find value of m,randÒÏforLi6:

The mass is:

m=6.0135u1.661×10-27kg1um=9.988×10-27kg

The radius is:

r=roA1/3r=1.2×10-15m(6)1/3r=2.18×10-15m

The density is

ÒÏ=m43Ï€r3ÒÏ=9.988×10-27kg43Ï€2.18×10-15m3ÒÏ=2.3×1017kg/m3

03

Explanation

b.) We have to find value of m,randÒÏforPb207:

The mass is:

m=206.9309u1.661×10-27kg1um=3.437×10-25kg

The radius is:

r=roA1/3r=1.2×10-15m(207)1/3r=7.1×10-15m

The density is:

ÒÏ=m43Ï€r3ÒÏ=3.437×10-25kg43Ï€7.1×10-15m3ÒÏ=2.3×1017kg/m3

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