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Q.

A copper atom consists of copper nucleus surrounded by 29 electrons. The atomic weight of copper is 63.5 g mal-1 Let us now take two pieces of copper each weighing 10 g. Let us transfer one electron from one piece to another for every 100 atoms in that piece. What will be the Coulomb force between the two pieces after the transfer of electrons, if they are 1 cm apart? Avogadro number = 6 x 1023 mole-1, charge on an electron = -1.6 X 10-19 C

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a

1.12 x 1018 N

b

4.24 x 1018 N

c

2.06 X 1018 N

d

5.16 X 1018 N

answer is C.

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Detailed Solution

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Here, Avogadro number, N = 6 x 1023 mol-1 and Atomic weight of copper, A= 63.5 g mol-1. Therefore, number of atoms in 10 g of copper. n=NA×10=6×1023×1063.5=9.45×1022

Since one electron per 100 atoms is transferred from copper piece A to B, the charge on copper piece A,

qA=+n100×e=+151.2C

Obviously, charge on copper piece B,
qB =-151.2 C
Force between the two copper pieces,

F=14πε0·qA×qBr2

Setting r = 1 cm= 0.01 m, we get
F = 2.06 x 1018 N (attractive)

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